...a companion blog to "Math-Frolic," specifically for interviews, book reviews, weekly-linkfests, and longer posts or commentary than usually found at the Math-Frolic site.

*********************************************************************************************
"Mathematics, rightly viewed, possesses not only truth, but supreme beauty – a beauty cold and austere, like that of sculpture, without appeal to any part of our weaker nature, without the gorgeous trappings of painting or music, yet sublimely pure, and capable of a stern perfection such as only the greatest art can show." ---Bertrand Russell (1907) Rob Gluck

"I have come to believe, though very reluctantly, that it [mathematics] consists of tautologies. I fear that, to a mind of sufficient intellectual power, the whole of mathematics would appear trivial, as trivial as the statement that a four-legged animal is an animal." ---Bertrand Russell (1957)

******************************************************************** Rob Gluck

Sunday, April 26, 2015

Jim Henle Serves Up Math, Piping Fresh



"The Proof and the Pudding" by Jim Henle


Back in February I called Michael Harris's "Mathematics Without Apologies" perhaps the oddest popular mathematics read I'd ever come across... and in a serious, philosophical and psychological way, it was. But now, just a couple months later I come across Jim Henle's short "The Proof and the Pudding," which is also one of the oddest math volumes I've seen, but in a jaunty, playful, and completely opposite way from Harris's.
This book juxtaposes mathematics, mostly puzzles/games and the like, with cooking recipes and tries to claim the two activities share a lot in common. I don't think he's fully convincing that "Mathematics and gastronomy are practically the same," but he is convincing that they both are fun, and thus successful in his "secret goal... to elevate the status of fun."

Henle's recipes look delicious... but no more-so than his mathematics. His joy from both pastimes nearly jumps off every tersely-composed page, and is contagious. I'm not a cook, but still feel the urge to try some of his gastronomic suggestions. Henle had my mouth watering... and my brain neurons firing from the math puzzles that are reminiscent of Martin Gardner columns. Any fan of Gardner's recreational math (and I hope that includes EVERYone who reads this blog) will enjoy the mathy excursions throughout this small volume.  As to how useful these games are I'm not sure, but as Henle quotes a colleague at one point:
"There are two kinds of mathematics: applied mathematics and mathematics that is not yet applied." ;-)

Most of Henle's math fun is connected to the paths traveled by 'bouncing dots or balls' inside rectangles or boxes, and I even wonder if Henle's book might do for these little games what Gardner's presentation of John Conway's "Game of Life" did for the obsession with that game -- on a side-note, Conway's less famous recreational creation called "Phutball" or "Philosophers' football" also gets some mention herein, along with brief forays into Sudoku variations and card tricks. None of it is overly deep or complicated; as Henle says, he is trying to show "features of mathematics" without really "doing math." And he does so in a stimulating way. Toward the end he also pays homage to both Julia Child and Gardner as inspirations for the volume.

Vanity, gluttony, parsimony, elegance, playfulness, creativity, and even ethics, are just some of the features that Henle argues are found in both cooking and mathematics. One section also talks about the importance of "messing up" in both endeavors and trying things out that fail... very reminiscent of advice I've seen from both Keith Devlin and Paul Lockhart (and perhaps others) in the past.

If I was an editor at a publishing house, and someone came to me with an idea of combining the disparate contents of this book I think I would've said, 'Thanks, but I'll pass on that'... so am very glad that the editors at Princeton University Press are far wiser than I, because this book is a charmer. Henle does such a great job of pulling you into his world and his passion, that you enjoy the alternation of topics as much as intended; probably even more-so if you yourself seriously like dabbling in the kitchen.

The volume is a fun, short romp (~160 pgs), but a review won't give the full flavor of it... you need to just pick it up and begin reading on your own to get sucked into Henle's idiosyncratic delights. And how often do you get to salivate while reading a math book?! You will here. Try not to drool on the pages.


Friday, April 24, 2015

Weekly Potpourri


Lest you missed any of these:

1)  Hmmm... following the viral success of the 'Singapore problem' saw lots of folks putting up puzzles this week of various sorts. Will only mention a few:
Futility Closet ran 3 humdinger brain twisters last weekend:
http://www.futilitycloset.com/2015/04/18/all-relative-4/
and then also posted this lovely "quickie" the next day:
http://www.futilitycloset.com/2015/04/19/quickie/

the io9 site conjured up an old classic puzzle:
http://io9.com/ready-this-simple-puzzle-once-stumped-96-of-americas-1698814691

Mike Lawler brought home a good discussion problem for youngsters from the Wash. DC. MathFest (among his many weekly offerings):
http://tinyurl.com/q9f9gx3

and from Presh Talwalkar this one (with some now-familiar names):
http://tinyurl.com/ncfd3gs

Christian Perfect at The Aperiodical also goes over a lot of puzzle ground, including throwing in some other classics from recent times:
http://aperiodical.com/2015/04/thatlogicproblem-round-up/

...anyway, I like the name "Cheryl" but if I don't hear it again for awhile, well that'll be just fine with me!! ;-)
Also from  Mike Lawler...  I think this NCTM-related post of his from the week ought be read by EVERYone, simply for all the great links he provides in it (including some more problems):
http://tinyurl.com/ow9xoba

2) moving on,  a video interview with Devlin... Keith Devlin (mostly about his Stanford MOOC)... while some are increasingly negative or pessimistic about the future of MOOCs, Keith continues to tout their value... very worthwhile:
http://www.dailymotion.com/video/x2mu020_prof-keith-devlin-stanford-professor-who-makes-you-love-math_school

3)  Here was one teacher's wrap-up of the recent NCTM conference:
http://borschtwithanna.blogspot.com/2015/04/digesting-nctm.html

4)  Aeon has offered a series of essays, from an odd mix of folks, on the mystery of mathematics, of which I think Scott Aaronson's is the best:
http://ideas.aeon.co/viewpoints/1829

5)
  "Mathical" children's math book winners were announced last weekend:
http://mathicalbooks.org/2015/04/award-winners-announced/

6)  Ian Stewart and Steven Strogatz received the 2015 Lewis Thomas Prize for Writing about Science
https://www.youtube.com/watch?v=92ByJ2ehrD8&feature=youtu.be
(you can start at about the 10-minute point if you want to skip the introductory stuff)

7)  "Mathematics Rising" blog looks at the re-issue of John Horgan's "The End of Science":
http://mathrising.com/?p=1258

8)  Heavily philosophical review (from Massimo Pigliucci) of Lee Smolin's latest discourse on mathematics:
https://scientiasalon.wordpress.com/2015/04/21/smolin-on-mathematics/

9)  Imprecise language in the New York State Regents Exam gets the attention (a-a-a-again) of Patrick Honner:
http://mrhonner.com/archives/14773

10)  A quick note from John Cook on experiments versus reality!:
http://www.johndcook.com/blog/2015/04/23/scientifically-valid/
(I think this has a LOT more generalizability than Cook is referencing; i.e. it applies well beyond economics and business)

11)  Longish piece on college-level math/calculus for the life sciences:
http://tinyurl.com/lk8t8ea


Potpourri BONUS! (extra NON-mathematical links of interest):

 One of the laws of life is that you can never see enough nesting birds!... so a couple of addictive Web nestcams (WARNING: NSFW... because you'll get NO work done):

Allen's Hummingbirds:   http://www.bellahummingbird.com/
Barn Owls:   http://cams.allaboutbirds.org/channel/42/Barn_Owls/

 

Friday, April 17, 2015

Big Bag of Weekly Links


The math bits I didn't much cover at Math-Frolic this week (and quite a varied selection I must say!)...

1)  Only one topic to start a wrap-up of this week with: that Singapore logic conundrum...

Ever-instructive and smiling James Grime covers the possible answers (depending on semantics) in this video:
http://singingbanana.tumblr.com/post/116546302907/via-cheryls-birthday-problem-it-depends-on

And among his multiple postings for the week, Mike Lawler talked through the puzzle with his two young logicians:
https://mikesmathpage.wordpress.com/2015/04/15/the-viral-logic-puzzle-from-singapore/

It's been fascinating (sometimes exasperating) reading the comments at various sites regarding this interesting, if not greatly-worded problem, which has different sticking points for different people. I wish I'd kept a list of the sites that did a good, clear job (many didn't) explaining the tricky reasoning involved.

Anyway, if by now you're bored with the Singapore problem, you're free to move on to the next level:
http://tinyurl.com/p68mlp3

A-A-AND, even Fields Medalist Timothy Gowers gets into the act here:
https://plus.google.com/+TimothyGowers0/posts/Ak3Fnw8dvBk

2) moving on, +Plusmaths Magazine discusses the nature of proofs:
https://plus.maths.org/content/brief-introduction-proofs

3)  Steven Strogatz pointed to 40 math modules developed at Cornell for middle and HS teachers & students... he calls them "fantastic"... that's enough to get MY attention:
http://www.math.cornell.edu/~mec/

4)  Also, this week Math Munch took all of its inspiration from Strogatz:
http://mathmunch.org/2015/04/15/continents-math-explorers-club-and-i-use-math-for/

5)   The "Texas sharpshooter fallacy" and big data:
https://hilbertthm90.wordpress.com/author/hilbertthm90/

6)  If you missed this week's PBS Nova episode, "The Great Math Mystery," you can view it online:
http://video.pbs.org/video/2365464997/
One blogger reviewed it here:
http://www.abstractmath.org/Word%20Press/?p=9719

7)  Some followup, from Regina Nuzzo, to one psychology journal's "cold turkey" decision to drop p-values from their pages:
http://www.scientificamerican.com/article/scientists-perturbed-by-loss-of-stat-tool-to-sift-research-fudge-from-fact/

8)  An interview (about books) with Freeman Dyson... only slight mathematical content, but always interesting to hear from him (h/t to Jordan Ellenberg for this one)... though disappointing he's unable to name a single math book of recent times as a good book for lay readers... c'mon Freeman get with the times, there's some GREAT stuff out there!:
http://tinyurl.com/p6rhmpk

9)  Brian Hayes' first encounter with the algorithm of the IRS's Schedule D form... oh what joy!:
http://bit-player.org/2015/a-taxing-algorithm

10)  Futility Closet looks at a card game you have a 50/50 chance of winning and can't improve upon (...unless of course you're psychic):

http://www.futilitycloset.com/2015/04/17/say-red/ 

11)  For math teachers LOTS of reporting at the #NCTMBoston and #Shadowcon15 Twitter conference hashtags this week.

12)  And for 13 more mathy links check out the newest (121st) "Carnival of Mathematics":
https://lifethroughamathematicianseyes.wordpress.com/2015/04/12/carnival-of-mathematics-121/

13)  Lastly, for my recursive page of the week, a publisher finally gets it right:
 ow.ly/LDqP5

...Hope everyone finds at least a couple links suiting their interests among the above.


Potpourri BONUS! (extra NON-mathematical links of interest):

1)  Cats... and prisoners together:
https://www.thedodo.com/shelter-cats-in-prison-1088043678.html

2)  And in one of those oddball human stories that are hard to fathom, the 61-year-old postal worker who invaded Capitol Hill this week in a gyrocopter, with the best of intentions, explained what his purpose was via YouTube:
https://www.youtube.com/watch?v=GPVxPT4GGX0
(The fuller story here:  http://tinyurl.com/lpvb65b )

[...meanwhile, flying a gyrocopter to the Capitol must now be added to my lifetime-bucket list ;-) ]


Sunday, April 12, 2015

Erica Klarreich... Journalist/Mathematician/Ray Smullyan Fan


Math-Frolic Interview #30


"A mathematician before I became a full-time journalist, I try to convey the essence of complex mathematical ideas to non-mathematicians, and give them a sense of the beauty and depth of mathematics.

"At the same time, I also enjoy plunging into topics far from my mathematical roots, and have written about fields such as economics, computer science, medicine, and biology -- often as these fields relate to mathematics, but often simply for their own sake."  -- Erica Klarreich (from her Web homepage)


After I interviewed science/math writer Natalie Wolchover a bit ago, it occurred to me I should interview her Quanta colleague, Erica Klarreich, who actually specializes even more-so in mathematical pieces.  I imagine most readers here are likely familiar with Erica's excellent writings, but if not, you can check them out HERE (or via some of the links below).

-------------------------------------------------------------

1) How and when did your interest in mathematics begin? And when did you know you would pursue mathematics professionally?

I grew up in a math family, so I can’t remember a time when I wasn’t interested in math. My grandfather and my father were math professors, and my mother was a high school math teacher before she had children. I have happy memories of us reading Raymond Smullyan’s books of logic puzzles around the dining room table (now I read them with my own son!). My parents certainly didn’t force math down our throats, but it did feel like the family business. My older sister and I both ended up getting PhDs in math, although my younger sister said a polite “Thanks, but no thanks.”

[ahhh, another Ray Smullyan fan... in your honor I re-ran one of my favorite puzzles from him over at Math-Frolic on Friday.]

2)  Though math is your specialty, you've written across the board on many scientific subjects -- do you just have a lot of disparate interests, or is there some thread that unites all the topics you explore and write on?

I really like writing about areas of science other than mathematics, because I learn so much in the process (although that’s true of my math articles as well). I’d say, though, that most of my articles do have a math slant. Math is the language of science, which is what makes it such a great specialty—I can use it as a springboard to explore such a wide range of topics.

3)  In that same vein, it seems to me you write about some of the most fascinating, perhaps deep and dare I say almost mystical, aspects of mathematics... do you see it that way, or how would you characterize the subjects you're drawn to?

Actually, some of my favorite topics to write about, such as game theory and theoretical computer science, are quite pragmatic. But it’s true that when I’m writing a pure math story, I look for story elements that I guess you could describe as “mystical.” I think people read pure math stories for the same reason they read about, say, astronomy — because our explorations of the Platonic world of mathematics say something fundamental about who we are as human beings. When mathematicians push past the border of what we previously knew about prime numbers, say, or discover a connection between two seemingly distant parts of the Platonic world, they’re telling us not just about mathematics but also about ourselves, and our relationship to truth and beauty.

4)  What was the subject of your doctoral work in mathematics, and at what point did you decide you'd rather be a math/science journalist than a professor or applied mathematician?

I did my PhD in three-dimensional hyperbolic geometry, which I later got to write about in one of my favorite articles for Quanta Magazine

I still love hyperbolic geometry (although my knowledge has gotten pretty rusty), but already in graduate school I was starting to question whether the academic life was right for me. Hyperbolic geometry is a field that sits on the cusp of several other big fields of mathematics, so there was a huge amount of mathematics to learn, and I never felt that I understood those related fields enough to be able to make the deep connections that would lead to really exciting new mathematics. I probably could have worked in some small corner of the field and done decent work, but I knew that wouldn’t feel meaningful to me. Still, I didn’t know what else I could do, so I finished my PhD and went on to a three-year position at the University of Michigan.

During the years at Michigan, I started reading a lot of popular science writing, which for some reason I had never done much before, and it occurred to me that writing about science must be one of the coolest jobs around. I had always liked to write, so I started digging around online, and came upon the website of the science writing program at UC Santa Cruz. At the time, there were a bunch of questions on the website along the lines of: Do you like explaining your research to friends even more than doing the research? (Yes!) Do you enjoy taking in the full sweep of science more than specializing narrowly? (Yes!!) Were you one of those weird people who actually enjoyed writing term papers in college? (Yes!!!) As the number of exclamation points in my answers grew, I realized that I had found a possible new career. The Santa Cruz program is (or at least back then it was) the only science writing program aimed primarily at scientists, not journalists, so it was perfect for me. I applied, and at the end of my three years at Michigan, I went there.

5)  How long does it generally take you to write the typical article you do for, say, Quanta (if you can even generalize), and how many editors/fact-checkers must review it before we readers see it in publication?

There’s a lot of variety. I discovered early in my career that I don’t like to write news stories. Those often take just a day or two to complete, and I always found it stressful trying to fit in all my interviews that quickly. Besides, I just like going deeper than a news story permits. So I almost always write feature articles. Occasionally, these can be newsy, in which case we try to turn them around quickly. For example, a couple of years ago I wrote for Quanta about some breaking news connected to the twin primes conjecture , and my recollection is that we turned that story around in just a week. What’s more common for me is to spend several weeks researching and writing a story (or sometimes longer than that, if I’m working on several stories in parallel). Once I’ve written my draft, what happens next depends on the publication. Pretty much all the places I write for do a top edit and then a copy edit; some use fact-checkers, some ask me to fact-check the article myself, and some show the article to a panel of reviewers.

6)  Among all the articles you've written, do you have a few Web-accessible favorites you'd point people to who aren't familiar with your work? 

The Quanta article about the twin primes conjecture really resonated with readers, partly because the question of patterns in the prime numbers is so compelling, and also because it was an amazing story of an unknown mathematician making good. Another Quanta story that attracted a lot of readers was my profile of Maryam Mirzakhani, the first woman to win the Fields Medal.

I’ve also written some fun pieces lately for Nautilus: one about optical illusions and one about how to divide things fairly.

7)  What popular (or technical) math writers do you especially like to read? And what are some of your other main interests/hobbies/activities?

I’m a big fan of Steven Strogatz’ writing, and I really liked his math series in the New York Times. I also greatly enjoyed Jordan Ellenberg’s book, How Not to be Wrong. I have to confess, though, that when I’m reading for pleasure, I’m more likely to pick up a novel than a popular science book. I’m in a book group that specializes in nineteenth-century English novels; we just finished reading Martin Chuzzlewit, which is a giant doorstop of a book, but my idea of fun!

I like solving cryptic crossword puzzles, which are crosswords in which the entries are clued by wordplay instead of ordinary definitions. Two of my friends are the creators of the cryptic crossword that appears weekly in The Nation magazine, and a small group of us meet over breakfast to solve their puzzles before they go into print and critique the clues.

During the last two years I’ve been working on a passion project: a children’s novel that I’m writing together with my younger sister. It’s been huge fun, and now we’re getting ready to start the submission process.

...Good luck with the children's novel; that can be a hard genre to break into, and I often don't fully understand what makes one children's novel a huge success, and another one less so.

8)  Finally, you and Natalie Wolchover are two of a great band of writers for Quanta Magazine -- just curious if you guys all know each other well, socialize, collaborate at all, or do you all lead separate lives, just writing for the same outlet?

We lead separate lives, unfortunately. I’m just a freelancer for Quanta, and since I live in Berkeley and Quanta’s offices are in New York City, I’ve never actually met any of the Quanta staff face-to-face, even the ones with whom I work quite closely. They have very nice voices, though!
-------------------------------------------------------------

Thanks Erica; we're fortunate to have writers like you putting out such a great variety of in-depth, mathematical content on the Web on a regular basis.
And if you want to hear Erica's voice, Sol Lederman interviewed her for his podcast series about 2 years ago (she covers much of the same ground I asked about above, in even more detail):
http://wildaboutmath.com/2013/02/22/erica-klarreich-inspired-by-math-22/
Also, another transcribed interview with Erica here:
http://www.theopennotebook.com/2014/09/30/erica-klarreich-profiles-an-award-winning-mathematician/


Friday, April 10, 2015

Another Veek of Math Links... You're Velcome


Lest you missed them:

1)  A message from an Iowa teacher... that some others can probably relate to:
http://shawncornally.com/wordpress/?p=4097

2)  "Solve My Maths" blog wants to 'take back the F-word':
http://solvemymaths.com/2015/03/31/taking-back-the-f-word/

3)
  A John Conway puzzle via Futility Closet:
http://www.futilitycloset.com/2015/04/08/overheard-4/

4)  Mathematician Jason Rosenhouse looks at good, and not-so-good, writing:
http://scienceblogs.com/evolutionblog/2015/04/08/on-bad-writing/

5)
  Interviews with a couple of math-crowd favorites from last week:

a)  A brief transcribed interview with Steven Strogatz here:
http://scitation.aip.org/content/aip/magazine/physicstoday/news/10.1063/PT.5.3022

b) ...and a 30-minute podcast interview with Jordan Ellenberg at ACME Science:
http://www.acmescience.com/2015/04/scc56ellenberg/

AND, in more good news for Jordan, he was just awarded a Guggenheim Fellowship! CONGRATS and well-deserved! -- one of only two mathematicians, the other being Tatiano Toro, to receive the award, which more heavily goes to recipients in the arts/humanities.

6)  Another review/update of the twin-prime conjecture proof (which, if one other conjecture is assumed true, is now down to a gap of 6):
https://plus.maths.org/content/find-gap

7)  And thoughts, from Minhyong Kim, about Mochizuki's ABC conjecture proof, via John Baez:
https://plus.google.com/117663015413546257905/posts/d1RsN4KnCUs

8)  Uhhh, "prime number magnitudes" are kinda big:
http://mathscinotes.com/2015/04/prime-number-magnitudes/

9)  The future of big data????
https://www.linkedin.com/pulse/do-numbers-really-speak-themselves-big-data-john-poppelaars


10)  I'll bet Mike Lawler worked on some math this week:   
https://mikesmathpage.wordpress.com/

11)  And heads-up for  PBSNova show, "The Great Math Mystery" (math, invented or discovered?) coming up this Wednesday:
http://www.pbs.org/wgbh/nova/physics/great-math-mystery.html

 

Meanwhile, Sunday morning, right here, Math-Frolic Interview #30 will be posted, and appropriately for such an auspicious #, it will be with one of the premier math writers currently on the Web.


Potpourri BONUS! (extra NON-mathematical links of interest):

1)  Eric Meade, in a segment from last week's TEDTalkRadio, on the art of magic:
http://www.npr.org/2014/06/20/322537247/how-do-magicians-manufacture-reality
Reminds me of this older Ricky Gervais/David Blaine clip (not necessarily for the squeamish):
https://www.youtube.com/watch?v=oLAs11gkqKE

2)  And to close out the week, a feel-good animal story:
https://www.thedodo.com/elephant-reunion-video-thailand-1078233173.html



Friday, April 3, 2015

Good, Friday Potpourri


Here's part of the week that was, in math:

1)  April is "Mathematics Awareness Month" (I'd say Jan. thru Dec. pretty much qualify too, but whatever):
http://www.mathaware.org/index.html
https://www.facebook.com/pages/Mathematics-Awareness-Month/160088737380286

2)  A new "Math Teachers At Play" blog carnival brought to us beautifully by John Golden:
http://mathhombre.blogspot.com/2015/03/math-teachers-at-play-84.html

3)
  Some pure coolness (by way of a "nerdy math wallet") from mathbabe.org this week:
http://mathbabe.org/2015/03/30/i-accept-mathematical-bribes/

4)  Evelyn Lamb continued her Cantoresque focus from last week, with a look at the 'Cantor function' this week:
http://blogs.scientificamerican.com/roots-of-unity/2015/03/31/cantor-function-weeping-angels/

5)  Ben Orlin offered a nice introduction to Newcomb's Paradox, that young people (AND adults) can argue over unendingly:
http://mathwithbaddrawings.com/2015/04/01/humility-in-the-face-of-weirdness/

6)
  Mark Chu-Carroll discusses a paper that looks at the mathematics of the FedEx hub system for delivering packages:
http://www.goodmath.org/blog/2015/03/31/the-fedex-problem/

7) "Mathematics Rising" blogged on what the Chaitins say about creativity, both biological and mathematical:
http://mathrising.com/?p=1254

8)  Research replication as "a quiet crisis" in science, perhaps:
http://www.bostonglobe.com/ideas/2015/03/19/science-irreproducible-research-quiet-crisis/xunxnfuzwdwYSpVjkx2iQN/story.html

9)  I've never been terribly keen for "Which one doesn't belong" type problems, but they've been in the blogosphere lately (in part due to one instructor's different approach), and I'll pass along this post on them:
https://easingthehurrysyndrome.wordpress.com/2015/03/31/which-one-doesnt-belong/

10)  A new, and once-again thought-provoking post from Keith Devlin... on computer science and mathematics... and, the reasoning that links them:
http://devlinsangle.blogspot.com/2015/04/the-importance-of-mathematics-courses.html

11)  From +plus Magazine, too late for Valentine's Day, but just in time for Easter and Passover :-/, "Sexual Statistics":
article here:  https://plus.maths.org/content/sexual-statistics
podcast here:  https://plus.maths.org/content/sexual-statistics-podcast?src=aop

12)  From Quanta, another nice interview with that unexpected math celebrity, Yitang Zhang:
https://www.quantamagazine.org/20150402-prime-proof-zhang-interview/

13)  From the NYTimes, 'The problem with math problems...' (good discussion and links):
http://tinyurl.com/opjwf4v

14)  Mike's math page usually does a bit of math during the week ;-):  https://mikesmathpage.wordpress.com/

15)  Who knew sandpiles were so interesting? Jordan Ellenberg did, as he explains for Nautilus Magazine:
http://nautil.us/issue/23/dominoes/the-amazing-autotuning-sandpile

And maybe we'll end the week with this little thought-exercise, also from Ellenberg:
http://tinyurl.com/k8jddfu


Potpourri BONUS! (extra NON-mathematical links of interest):

1) The amazing, blind Daniel Kish gives a recent TEDTalk explaining his use of personal sonar for navigating his dark world:
http://www.ted.com/talks/daniel_kish_how_i_use_sonar_to_navigate_the_world?share=113b50d987

2)  And in case you missed it, this viral feel-good story about parenting from the week:
http://www.al.com/news/birmingham/index.ssf/2015/03/after_her_kids_misbehave_birmi.html


Friday, March 27, 2015

Math From the Week-Gone-By


Some of the things I DIDN'T cover at Math-Frolic:

1)  For any hard-core statistics readers out there, a thoughtful, longish re-post from Deborah Mayo (on objectivity in stats):
http://errorstatistics.com/2015/03/21/objectivity-in-statistics-arguments-from-discretion-and-3-reactions/

2)  And from Andrew Gelman, more interesting p-value stuff:
http://andrewgelman.com/2015/03/27/imagining-p/

3)  A new online issue of the Mathematical Intelligencer:
http://link.springer.com/journal/283/37/1/page/1

4)  And the very first online issue of math-oriented Chalkdust Magazine is available:
http://issuu.com/chalkdust/docs/main2/47?e=0/12008498

5)  'All Things Considered... Math Equals Love' -- A math teacher does NPR:
http://mathequalslove.blogspot.com/2015/03/adventures-with-npr.html

6)  In case there's anyone left who doesn't know that John Nash Jr. (famous to so many from the book/film "A Beautiful Mind") and Louis Nirenberg shared the latest Abel Prize:
http://www.abelprize.no/nyheter/vis.html?tid=63589

7)  Learning a mathematical formula versus an idea:
http://www.mustbemaths.com/2015/03/learn-formula-or-learn-idea-what-does.html

8)  Claude Shannon and information theory via +plus Magazine (2 articles):
https://plus.maths.org/content/information-surprise
https://plus.maths.org/content/information-birth-bit

9)  Yesterday Evelyn Lamb wrote on one of my favorite topics, the barely-fathomable Cantor Set
http://blogs.scientificamerican.com/roots-of-unity/2015/03/26/cantor-set/

10)  Lo-and-behold, Mike Lawler and the boys did more math this week ;-):  https://mikesmathpage.wordpress.com/

11)  ICYMI, last week I interviewed "Social Mathematics" blogger Samantha Oestreicher:
http://mathtango.blogspot.com/2015/03/samantha-oestreicher-social.html

12)  And I'll end with a couple bits of humor:
First, from the New Yorker, and passed along by both plusmath.org and Clifford Pickover (among others) this week:
https://twitter.com/plusmathsorg/status/581046887060508672

...and this from McSweeneys:
http://www.mcsweeneys.net/articles/coffee-shop-algebra


Potpourri BONUS! (extra NON-mathematical links of interest):

1)  An overview from The Atlantic magazine of the new documentary, "Going Clear," about the secretish-cultish assemblage that consorts under the handle, "Scientology":
http://www.theatlantic.com/entertainment/archive/2015/03/its-not-easy-being-scientology/388634/

2)  And, how could I NOT make mention of this fontastic bit of news -->  Comic Sans and Papyrus combined!! ;-):
http://motherboard.vice.com/read/someone-combined-the-two-worst-fonts-in-existence


Sunday, March 22, 2015

Samantha Oestreicher... "Social" Mathematician

Math-Frolic Interview #29


  
"Math is everywhere. Sometimes we choose to obsess over it (Bills) or ignore it (Debt) but I believe we should not obsess or ignore. Fruit and Vegetables should be a part of everyone’s diet. So too should Math."
-- Samantha Oestreicher (from her blog)


Evelyn Lamb introduced me to Samantha Oestreicher's "Social Mathematics" blog awhile back; a blog about the "interaction between mathematics and the modern day world." If, like me, you were unfamiliar with the blog, you can check out these posts, that Dr. Oestreicher recommends, as an introduction:
http://socialmathematics.net/category/elegance-series/

Dr. Oestreicher has an interesting, eclectic background, but I'll let her tell you all about it....

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1) Your blog title "Social Mathematics" is interesting, in part, just because those are two words that a lot of people don't associate together. Say a little about what that term, 'social mathematics,' means to you, and what sorts of things you like to cover on your blog?

Social Mathematics is about the interaction between math and the everyday world. This means that Social Mathematics covers a huge breadth of topics. I want to talk about grocery coupon value, board games tactics, weird social norms and more.

I want to provide a lens into mathematical thinking which does not require years of arithmetic to appreciate. I think that we, the community of mathematicians, can do a lot to bridge the gap from the initiated and the uninitiated. This blog is designed to help bridge that gap.

2)  Please tell readers a little about your own path to becoming a professional mathematician... how did your math interest first begin, and when did you know you wanted to pursue it professionally? With a PhD. in Applied Mathematics; what are your future hopes/plans?

The biggest hint that I needed to do math full time was when I was managing a costume shop. I proved to a student that box pleats required a length of fabric equal to 3x where x is the distance over which you want the box pleats to go. The student couldn’t care less about my proof and I realized I was way too technically minded for my current career.

But the moment I knew math was a good place for me was when I found a group of people who got my jokes. I found a culture that appreciates the same values I do: truth, dedication, the existence of right and wrong answers …and nerdy jokes.

I’m currently working in industry in a data science role; I work in supply chain analytics. Supply chains are full of NP-hard problems which are fun to try to optimize. I enjoy working with my colleagues to learn about the processes and try to find the best solution possible in the given allotment of time.

3)  One of your main areas of interest is "modeling whole earth dynamics with regards to climate change" -- Wow, talk about a controversial area these days! I don't even know what best to ask, so I'll leave it very open-ended: What would you most want readers to know about the mathematical aspects of the climate debate?


I most want readers to know 99.99% of all math out there shows that climate change and global warming are both real. It’s really happening and we, as humans, are making serious impacts on our world. I would love nothing more than for everyone to care, learn, mitigate and adapt in defense of our planet.

For a more verbose take on what I think everyone should know, I recommend the two blog posts I wrote for Mathematics of Planet Earth Blog which have links here:
http://socialmathematics.net/2013/02/25/socialmath-featured-on-mpe2013/ 

Additionally, I wrote a post for Social Mathematics about why mathematicians need to be involved with climate research:
http://socialmathematics.net/2012/06/15/why-do-mathematicians-need-to-be-involved-with-climate-research/  


4)  One intriguing question you pose on your "about" page is this: "Is it morally degrading that we constantly use technology we can’t begin to understand?" 
How do you answer that in your own mind?

In a word: nope! I think the collection of knowledge we have acquired as humans is far too vast for any single person to know it all. I am happy to use this collection of gold, silicon and plastic to connect to the internet and write something for you. So, then the follow-up question I would ask is: why do mathematicians get so upset when other disciplines use our techniques when those people don’t understand the theory behind them?


5)  You also write on your "about" page that, "I hated mathematics in high school, but somewhere along the way I decided I only hated it because everyone else did." I'm always a bit flabbergasted by people who disliked math in high school, yet go on to eventually major in it in college. In fact, you were a theater arts major (math minor) as an undergraduate! -- can you explain how those diverse interests mesh together in your own mind... or are they just two completely separate aspects of your personality and being?


There are some fabulous connections between the theater and mathematics! The top connection in my mind is that both demand intense creativity and boundless resiliency. Both technical theater and math put restrictions on your problem solving kit and ask you to solve the problem anyways.

While I only casually participate in theater and film today, my early focus on storytelling has made me a strong presenter and teacher. I love crafting the story behind my technical work and sharing it with people who are uninitiated into the world of math. I think these two aspects of my personality work together daily to solve problems and communicate my ideas.

There are some wonderful role models who are involved in both theater & math: Hedy Lamarr and Danica McKellar are two of the most famous.


6)  Have you done certain blogposts that stand out as personal favorites or the most fun for you to write? And do you know which posts have been most popular with readers, if they differ from your own favorites?


For my readers, I think the recent favorite has been the trio of posts I wrote about how Tap Dancing is like Climate Change Mathematics. Starts with:
 http://socialmathematics.net/2014/12/24/tap-dancing-mathematics/

This series is fun to read because it connects my experience in dance from high school to my PhD research in climate change mathematics.

For my writing process, the two posts which are personal favorites are:

a) Why do we play video games for so long? – February 2015
This post was fun because I analyzed data from my friends and I love video games!

b) Winter is Coming… - April 2014
This was great to dig into and talk about weather. 2014 was so cold in Minnesota! And I study climate change-- so this was especially interesting. I had a real passion to try to discover if it actually was colder.

7)  What are some of your own favorite math book reads that you'd recommend to a general reader (and include also any climate change works you'd recommend to a general audience if you like)? And moving outside of math, what are some other favorite reads for you?

For a general reader, I would highly recommend Leonard Mlodinow’s Euclid’s Window: the Story of Geometry from Parallel Lines to Hyperspace as a great read which is full of insightful ideas about the history of math. Also among my favorites are Mario Livio’s The Golden Ratio: The story of Phi, the world’s most astonishing number and Ian Stewart’s Letters to a Young Mathematician.

For non-math books, I really recommend Susan Cain’s Quiet: the Power of Introverts in a World That Can’t Stop Talking. Her ideas will affect the way I work for many years to come. If you want a fictional book, then I highly recommend Plague of Equals by Don and Joy Oestreicher. Often researchers get reduced to a post-it note but this science thriller has some of the best written research scientists I have ever read. The accuracy and humor of the conversations between scientists is amazing. Lastly, I’d recommend Edward Aguado and James E. Burt’s textbook Understanding Weather and Climate for anyone who wants to understand more about our planet.

8)  Despite advances, mathematics remains a heavily male field of study. Did you experience any special difficulties/pressures being a female in a largely male field, and is there anything special you'd want to say to other females contemplating a career in mathematics (especially anything you wish you'd been told in advance)?

The data show that there are strong gender stereotypes in many fields. Recently I wrote about the Cult of Genius and how women tend to avoid these “genius” fields. Gender still plays a strong role career choice whether you are male or female.

I would suggest to a woman interested in math the same thing that I would suggest to a man interested in female-dominated field: do what you love. Don’t let the prejudice of others determine what you chose to study.

[There's no more time-honored advice than that: 'DO WHAT YOU LOVE'... Indeed! and a fine note to end on.]

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Great to get these responses Samantha... one of the things that makes mathematicians fascinating to me is all the different angles they come to their field from (very different from the stereotype people often hold in their heads), and I think your answers here demonstrate that variety and eclecticism.
Thanks for filling us in about yourself and your blog.


Friday, March 20, 2015

More March Mathiness....


This week's BIG, bouncing collection of mathy goodness:

1)  You're likely all sick of hearing about pi by now, but I feel bad that so many of the best pi posts came out too late for my last Fri. potpourri, so will note a few of the plenitude:

a)  Steven Strogatz's New Yorker article on pi:

b)  from The Aperiodical:

c)  Alex Bellos interviewing the bloke who memorized 111,000+ digits of pi (...yeah, you read that right):

d)  a take from Doron Zeilberger, with pi as 'an equivalence class of many... algorithms':
http://www.math.rutgers.edu/~zeilberg/Opinion142.html

 e)  and if that STILL isn't enough servings of pi for you, Evelyn Lamb rounded up a bunch more pi helpings here:
http://tinyurl.com/kh594jc

2)  Another New Yorker math piece, by Alec Wilkinson, launching from pi to the mystery of prime numbers: 

3)  "Playing With Math: Stories from Math Circles, Homeschoolers, and Passionate Teachers" edited by Sue VanHattum is ready for order:

4)  The traveling vacationer problem... so-to-speak:
http://tinyurl.com/llxehjq
And relatedly, from Futility Closet, a problem that at first seems very difficult, but with a lovely, simple answer:
http://www.futilitycloset.com/2015/03/19/end-state/

5)  Bill Gasarch asks, "Has anything interesting ever come out of a claimed proof that P=NP or P ≠ NP?":
http://blog.computationalcomplexity.org/2015/03/has-anything-interesting-every-come-out.html


6)  Cathy O'Neil announced the launch of "Data Justice Blog" early in the week -- in a time of big (and personal) data, the importance of eternal vigilance has probably never been greater:
http://mathbabe.org/2015/03/16/data-justice-launches/


7)  Robert Talbert encourages those interested in IBL or flipped classrooms to attend the annual "Legacy of R.L. Moore and IBL Conference" in Austin, TX. this coming June:

http://tinyurl.com/l25nlnn

8)  DataGenetics
graphically goes over "Simpson's Paradox" (...no, not Homer or Bart):
http://datagenetics.com/blog/march22015/index.html


9) 
Not to belabor the whole p-value bashing topic too much, but there is a lengthy discussion going on in the comments section of Deborah Mayo's site (among a few participants), following a guest-post that became the most highly-trafficked posting she's ever had:
http://errorstatistics.com/2015/03/16/stephen-senn-the-pathetic-p-value-guest-post/

and in related news, we're told that, lo-and-behold, "scientists unknowingly tweak experiments":
http://phys.org/news/2015-03-scientists-unknowingly-tweak.html


10) 
One thing good about the NY State Regents Exams in mathematics -- it keeps giving Patrick Honner more good material for his blog:
http://mrhonner.com/archives/14706


11) 
A lengthy discussion of PARCC testing was cross-posted by "mathbabe" and others:
http://mathbabe.org/2015/03/19/guest-post-a-discussion-on-parcc-testing/ 

12)  Of course, Mike Lawler worked through more interesting problems this week:  https://mikesmathpage.wordpress.com/

13) 
Not really math, but h/t to Sean Carroll for pointing out this interesting piece arguing that there may be TOO MANY science studies currently being published:
http://www.vox.com/2015/3/17/8231395/too-many-studies

14)  ICYMI, I interviewed fantastic physics writer Natalie Wolchover last week at MathTango:
http://mathtango.blogspot.com/2015/03/natalie-wolchover-from-tiger-zoologist.html 
(...p.s., this upcoming Sunday will have ANOTHER new interview here... and for the first time, back-to-back females... stay tuned).

15)  And if you need still more math links for your weekend reading, the 120th "Carnival of Mathematics" is up here:
http://mathmisery.com/wp/2015/03/16/carnival-of-mathematics-120/


Potpourri BONUS! (extra NON-mathematical links of interest):

1)  Lovely profile of one of my (everybody's?) favorites, Jane Goodall:

2)  Per usual, another fascinating episode of NPR's RadioLab, this time covering some little-known history of America, Japan, and World War II:
http://www.radiolab.org/story/fu-go/



Sunday, March 15, 2015

Natalie Wolchover... From Tiger Zoologist to Physics Writer

Math-Frolic Interview #28


"Distrust of scientists and fear of global cataclysm are both on the rise, and that’s partly attributable to how much scary and conflicting information there is on the Internet. In my opinion, the best way to earn readers’ trust is to slow down a bit: to spend more time learning the science we’re explaining in our articles and write more in-depth (but still accessible) pieces."
-- Natalie Wolchover, in an older interview


Another sort of 'first' for this interview series... I'm guessing that most math enthusiasts, enjoy a good physics-read from time-to-time -- so today a treat, and divergence from my usual mathematician interviews, as I greet Natalie Wolchover, one of the best physics writers around for a general audience. I've been enjoying Natalie's writings, in Quanta Magazine, for awhile now, and always fun to learn more about writers I enjoy, but know little about. If you're not already familiar with her byline, be sure to watch for it in the future, as well as go back and read some of her past pieces, that make current-day physics accessible.
All Natalie's Quanta articles are here:
https://www.quantamagazine.org/authors/natalie-wolchover/ 

and older LiveScience pieces by her here:
http://tinyurl.com/nrmwfuy

...she tweets at: @nattyover

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1)  When did your interest in science, and more specifically physics, begin?  Also, you have a B.S. in physics, and have now written about the field for some time... do you ever get an itch to return to college for a PhD. or otherwise be more involved in applied physics, rather than just reporting on it?

I read A Brief History of Time by Stephen Hawking when I was 13 — the 10-year anniversary edition was prominently placed in bookstores at the time — and I was completely and totally drawn in. (When I read it now I think I couldn’t have possibly understood very much back then, but I suppose mere exposure to the ideas sufficed.) My career plans switched from tiger zoologist to physicist. And that lasted until another sudden change of plans 10 years later.

I have a bachelor’s in physics from Tufts, where I did interesting research in the nonlinear optics lab of Fio Omenetto, and then I entered a Ph.D. program at Berkeley. But over the course of one sleepless night during my first year of grad school I realized it wasn’t right for me and that I should do science writing instead. It’s strange because I hadn’t once considered science writing before. I dropped out of Berkeley the very next day. Present-day me is shocked that I would do something so rash, but it felt right and as it turns out, it was. No, I never think of going back for a Ph.D. I’m learning much more physics this way. And I think I contribute more to the field by writing. Even experts sometimes need distillation into stories in order to understand, themselves, what’s happening.

2)  If I understand your past correctly, you came into freelancing and staff-writing essentially through starting a long-ago blog; i.e. not through the once-upon-a-time traditional route of a journalism or writing degree followed by interning, and climbing a corporate ladder. Is there anything especially pro-or-con you'd say about the path you've taken, or about your current career? Or, anything you'd do differently if you had it to do over again?

Yes, when I dropped out of grad school I started a daily blog and tutored freshman physics students to get by. I then moved from Berkeley to New York for an internship at Science Illustrated and Popular Science. I went from the internship to my first staff writer job and from there to Quanta where I am now. Honestly if I knew before I decided to switch careers how many professional science writers in my generation (especially in New York) went through the NYU science journalism program or another of the big programs, I may not have believed I could make it work. Fortunately, I was blissfully ignorant and overconfident.

[It is wonderful that the Web has made this alternative path possible for many.]

3)  Being more into math than physics, one of my favorite pieces of yours was a 2013 Quanta article on new approaches to infinity, focusing on what's called "V= ultimate L" versus "Martin's maximum" (related to "forcing axioms"). Just wondering if you've done any follow-up work to that piece since? Also curious, if you've ever explored Freeman Dyson's proposed linkage between math and physics via the Riemann Hypothesis, quasi-crystals, and atomic structure?

That piece was really interesting to report and write. I’m so much more familiar with the landscape of physics than math, and as a consequence I can put myself more in the readers shoes while doing research and interviews for a math story. Possibly I come to understand the work at the level that a reader would also like to understand it, but no more, and this makes the writing process more straightforward. In physics, I go a bit beyond what I ultimately want to explain, so there’s a process of scaling back. But on the other hand, that power to see the deeper picture helps me recognize important details and their implications, so overall there’s a benefit to having more expertise (though still very little in my case).

Anyhow, I haven’t followed up with Hugh Woodin about his progress on V = ultimate L, nor have I explored further the commonality between the Riemann zeta function and random matrices, which I spoke with Dyson about. I covered a subject related to the latter more recently, though — the universality of a statistical curve called the Tracy-Widom distribution, which arises in several places in mathematics, and its relationship to the physics of phase transitions. I’m drawn to topics that illuminate the “unreasonable” (to quote Wigner) link between physics and mathematics.

4)  Do you largely select/propose the topics you cover as a staffer at Quanta, or are you assigned most of your stories? 

I find and pitch almost all my stories. Topics just materialize, I think, when you closely follow the developments in a particular field of study. I don’t have time to cover everything going on in physics that I would like to — especially topics in condensed matter physics, which are complex and very hard to do justice to.

5)  Among all the articles you've written, do you have a couple of Web-accessible favorites?

My Quanta articles that seem to have resonated the most with the public are the one on the discovery of the amplituhedron from September 2013 and A New Physics Theory of Life from January 2014. Others I like are this scientific adventure tale about a quasicrystal meteorite and a feature I wrote for PopSci.com back when I was interning there on the mystery of the Pioneer anomaly. They’re some of the more narrative-driven pieces I’ve done and I find those enjoyable and challenging.

6)  There's a lot of emphasis these days on increasing the number of women in STEM fields. Is there anything, based on your own experience, you'd want to pass along to females considering STEM careers? Or are you directly involved in any efforts to encourage women in STEM fields?

I’m not involved in any outreach efforts of that kind, though I care about the issue quite a bit. I also don’t feel qualified to pass along advice since I count myself among women who dropped out of STEM fields. The choice was right for me, but I do wish more women were actually doing research, for their perspective and their good influence. I think a lot about why the choice was right for me not to do scientific research, and what (if anything) it has to do with my gender, but I don’t have any pearls of wisdom about it and don’t want to generalize.

7)  It's amazing (and heartening) to me how many popular books on current-day physics keep coming out -- and these are NOT easy-reads for most lay people. I usually ask interviewees for their likes or recommendations among math reads, but in your case I'll ask what physics/cosmology books or writers you'd recommend to lay readers? (Though you're welcome to recommend some math-reads, if you care to do that as well.)
And, any thoughts of doing a book yourself in the future?


I really enjoy books by the sages of physics. I loved Albert Einstein’s short book for lay readers called Relativity: The Special and General Theory, and Erwin Schrödinger’s What is Life? For some less conventional choices, Tom Stoppard’s play Arcadia beautifully integrates scientific ideas into fiction. Going even farther in that direction is my very favorite science writing, the short stories called Cosmicomics by Italo Calvino. As for math, it’s incredible to me that David Foster Wallace wrote Everything and More about Georg Cantor and the history of infinity. What a treasure.

[...Yes, something I just re-posted about recently myself.]

I am beginning to write a book, yes! It’s in the early stages, though, so I’m not ready to talk about it.

8)  Okay, to wrap up, I'll try a new experiment... posing a question I always loved from an old "This American Life" episode... ;-)
If you could possess just one of the following two 'superpowers' which would you choose and why?:
a) the ability, at will, to make yourself invisible, or
b) the ability, at will, to fly like a bird???


[As I remember from the TAL episode, most people are able to answer this surprisingly quickly, without needing to give it much thought, but also people tend to divide somewhat down-the-middle on it.]

(b), of course! I can't believe it’s even close.

--------------------------------------------------------------

Thanks for participating here Natalie! I think anyone who reads you will be happy you made the decision to become a science writer, and look forward to a book in your future.



Friday, March 13, 2015

This Week's Math Potpourri Serving


Things catching my attention this week:

1)  This is actually pretty fascinating from a mathematical standpoint (water-saving faucet); h/t Tim Skellett:
http://www.sciencealert.com/this-tap-saves-water-by-creating-incredible-patterns

2)  Congratulations in order for Ian Stewart and Steven Strogatz for sharing the 2015 Lewis Thomas Prize for Writing about Science:
http://giveandjoin.rockefeller.edu/events/lewis-thomas
(quite an honor for two mathematicians to win this!)

3)  And from the "p-values no longer get any respect" Dept.:
http://tinyurl.com/mb843zk

4)  Film review of "X + Y," about the International Math Olympiad:
http://tinyurl.com/m8lmwcy

5)  In honor of tomorrow ('Pi Day''), a simple question posed by Futility Closet, 'Does the binary expansion of pi contain more 1s or 0s?':
http://www.futilitycloset.com/2015/03/11/portions-of-pi/
Also an old Martin Gardner problem via Futility Closet this week:
http://www.futilitycloset.com/2015/03/07/time-and-distance/

6)  When it comes to area calculations, Ben Orlin points to a prevalence of rectangles:
http://mathwithbaddrawings.com/2015/03/11/the-secret-to-all-areas/

7)  The latest "Devlin's Angle" blog post is largely about that certain transcendental number in the news...:
http://devlinsangle.blogspot.com/2015/03/pi-day-cyclical-motion-and-great-video.html

8)  And Math Drudge was among the MANY others with Pi Day coverage:
http://experimentalmath.info/blog/2015/03/i-prefer-pi-background-for-big-pi-day-31415/

9)  Just around the corner (April 18) is the first (and FREE!) National Math Festival in Wash. D.C.:
http://www.mathfest.org/

10)  A blogger has put together a list of 8 FREE (yeah, I like that word) YouTube channels devoted to SAT test preparation (I'm not endorsing the channels myself, since I've not reviewed them, but looks worth checking out if SAT preparation is on your horizon):
http://moomoomath.blogspot.com/2015/03/8-youtube-channels-to-help-with-sat-math.html

11)  Mike Lawler's place on the Web:  https://mikesmathpage.wordpress.com/
I'm especially a sucker for nice geometry problems, and Mike worked through a couple two days ago:
https://mikesmathpage.wordpress.com/2015/03/11/geometry-problem-solving/

12)  Over at Math-Frolic this morning I've linked to a simply wonderful Erica Klarreich piece in Quanta Magazine, on deep connections in mathematics:
http://math-frolic.blogspot.com/2015/03/mathematicians-drunk-on-moonshine-so-to.html

13)  Them's fightin' words... "Are Physicists Saner Than Mathematicians?" from CosmosMagazine:
http://blog.cosmosmagazine.com/blog/2015/3/13/are-physicists-saner-than-mathematicians
[p.s.:  Happy Birthday to Albert Einstein tomorrow!!]

14)  And perhaps my favorite bit of humor from the week:
https://recursivelyrecursive.wordpress.com/2015/03/09/didnt-we-say-thered-be-no-more-self-referring-signs/


Potpourri BONUS! (extra NON-mathematical links of interest):

a)  To get you into a bit of a physics-y mood for an interview I may have up this Sunday, here's news of the approaching re-start of CERN's LHC near Geneva:
http://tinyurl.com/oxjvybw

b)  And will end again with another simple feel-good story that went viral, but ICYMI:
http://www.huffingtonpost.com/2015/03/06/dancing-man-found-bodyshamed-dance-party_n_6817794.html

Monday, March 9, 2015

Single Digits... and Much, Much More

"Single Digits: In Praise of Small Numbers"  by Marc Chamberland


Several books in recent times have been comprised of "biographical" sketches of numbers... listing interesting tidbits/stories/facts about various integers or other significant numbers. So when an advance review copy of Marc Chamberland's "Single Digits: In Praise of Small Numbers" appeared in my mailbox, I thought to myself, "...seen this approach, been done before... yawwwn."
Getting into the volume though I was very pleasantly surprised! This compact (slightly over 200 pgs.) volume offers up different problems, puzzles, theorems, findings, conjectures on virtually every page. It's a veritable carnival for math geeks!! Yes, its chapters take you through the digits 1 through 9, as a skeletal framework for the book, but the chockfull content goes well, well beyond such simplicity. Indeed, as you're reading the fascinating contents herein you quickly lose sight of whatever tie-in a given chapter has to any "single digit."

Much of the material is not new, and is often classic. But a surprising amount is lesser, or even rarely, known subject matter. I feel safe in saying that both amateur and professional mathematicians alike will find new items of interest here -- LOTS of mathematics grist for thought and play -- with a heavy emphasis on geometry and algebra, and just a smidgen of topology, trig, or other math fields. The last couple of chapters, "8" and "9," are some of the shorter, but also deepest and most difficult chapters in the book.
Alexander Bogomolny has written a quick review of the volume and indicates the surprising breadth of subject matter included (while still only touching on a small sampling of the topics):
http://www.cut-the-knot.org/books/Reviews/SingleDigits.shtml

Indeed, there is so much real math packed in here I can't really recommend this work for a general audience, but only to those who are already enamored of math or have some good background with it.  This book is not for tepid math folks, but for diving into exhilaratedly with both feet!  There are around 115 topics listed in the table of contents, and of course some of those topics entail further topics.
The title and cover of the book don't really do it justice, nor hint at, the amount, richness, or variety of that mathematical fare inside. In fact, I fear a lot of lay readers, may pick this book up expecting a simpler treatment than what is within, while other mathematicians may not recognize, from the deceptively lightweight look of the book, what a fantastic, useful volume it is!  In short, it's a book I thought might only deserve a passing glance, but in fact is a welcome, splendid, fruitful addition to my math bookshelf. Reading it has left me with a LONG list of interesting things I want to explore further on Google... and oddly, these days, I'm not sure you can pay a book any higher compliment than that!

On Amazon, "Single Digits" is listed as due for June 1 release -- something to anticipate, and can be pre-ordered.

[ I'll note, lastly, that the author Marc Chamberland runs a YouTube site called "Tipping Point Math" here:  https://m.youtube.com/user/TippingPointMath? ]