...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, May 28, 2017

Mathematician, Gambler, Hedge Fund Chief…


“A fascinating insight into the thought processes of someone with little interest in fame, who has mostly stayed under the radar, but who has followed his inquisitive mind wherever it has led him, and reaped the resulting rewards. There is nothing more important than knowing how to think clearly. Read this book and learn from a master.” — Paul Wilmott

A further look today at a volume I mentioned a short while back, “A Man For All Markets” by (and about) Edward O. Thorp.  It may not be thought of as a popular math read, but I think there is just enough math in it to qualify.

For any who don’t know, Ed Thorp is a trained mathematician, who taught for awhile, before following his heart and delving into games/gambling/Las Vegas and later the stock market and Wall Street… with, one should quickly add, remarkable success! This book tells the autobiographical story of his incredible life. 
Thorp started by figuring out (mathematically) winning strategies for gambling endeavors like blackjack, roulette, and baccarat before moving on to run very successful mutual/hedge funds on Wall St. If you have no interest in the financial markets than this bio may not grab you, but as most people do have some interest, it contains pages that will draw in most readers. His many life accomplishments make it seem easy to just apply basic logic to various situations, including the stock market, and succeed, yet most people consistently fail at such efforts.

The book reminds me slightly of Siobhan Roberts’ account of John Conway, "Genius At Play," from 2015 (my favorite volume of that year), but it is not nearly as fun a read. The similarity comes from two iconoclastic and brilliant figures telling the anecdotes of their lives. But Roberts’ lively, engaging writing and Conway’s antics lifts her excellent portrayal to  another level. In comparison, much of Thorp’s volume is duller, the writing often more stilted or bland, but still his anecdotes are fascinating enough to pull you in. Stories around his gambling pursuits, the rise and fall of his own hedge fund (Princeton Newport Partners), the Black-Scholes options-pricing formula, his take on the Bernie Madoff affair, his contrarian analysis of the traditional “Efficient Market Hypothesis,” and take on the 2008-9 market crash, are among many interesting passages sometimes couched within more stodgy, matter-of-fact material. I especially enjoyed the last few chapters and "thoughts."

One thing I also liked about the volume is the way it portrays an individual who relied heavily on “intuition” to launch most of his successful ventures, before his technical brilliance fleshed out all the details required. The central importance of intuition, passion, and curiosity sometimes gets lost in the focus on logical deduction among mathematicians, and Thorp implies that he succeeded where others failed because of his greater intuitive grasp of situations more so than keener logic.

A longer, more detailed review of the volume available here:

I do recommend the book, especially to anyone with an interest in the many machinations of Wall Street, but it’s not the most riveting read around, despite many entertaining parts.




Friday, May 26, 2017

Another Friday, Another Math-mix



Week #17 of Trump’s looting-and-dismantling of America….

1)  From Quora last week, “What’s the most important thing happening in mathematics right now?”:

2)  Futility Closet presented the Thue-Morse sequence:

3) Pi Hiding In Prime Regularities”… another phenomenal presentation from Grant Sanderson:

4)  Eugene Stern, guest-posting at Mathbabe blog, has some thoughts on value-added models for teachers:

5)  R. Talbert once again on flipped learning and his new book:

6)  A big “Math Teachers At Play” blog carnival for May:

7)  “One of the real old chestnuts of mathematics,” the Goldbach Conjecture, newly presented by Numberphile:

8)  Getting to the point that a potpourri without something from Evelyn Lamb is a rare event… and it won’t happen this week:

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

1)  ICYMI, Jerry Coyne on the latest ‘Sokalized’ effort to make the rounds:

2)  Terry Gross had a fascinating interview with Pulitzer writer Tom Ricks this week:
http://www.npr.org/2017/05/22/529516184/churchill-orwell-and-the-fight-against-totalitarianism

…lastly, I’ll just leave this here for any who’ve missed it along the way:




Friday, May 19, 2017

The Week Gone By


Some mathiness during week #16 of the Trumpian Debacle…

1)  Grant Sanderson has completed his “Essence of Calculus” series on YouTube:

...help Grant continue such wonderful work by contributing to his Patreon account here:

2)  For those deeply into set theory here’s a recent paper by philosopher Penelope Maddy on foundations of set theory:

I interviewed Dr. Maddy here about 2 years ago:

3)  The simplicity of social psychology research:

4)  Fawn Nguyen teaching mathematical thinking:

5)  Don’t know if this will take off or not, but a math book swap via internet is being tried out:

6)  Re-thinking geometry to re-think time (via Quanta Magazine):

7)  Robert Talbert interviewed about ‘flipped learning’:

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

1)  In case you’ve somehow missed it, some discussion of the Dunning-Kruger effect (competency/overconfidence):





Friday, May 12, 2017

Potpourri (...such as it is)


A short potpourri from week #15 of the Trump Apocalypse:

1)  Yet another review of my favorite popular math book from last year, Cathy O’Neil’s “Weapons of Math Destruction”:

2)  Pat Ballew has amassed a lot of great historical material with his “On This Day In Math” blog and Twitter feed. I suggested earlier this week that with some organizing effort the material could probably make a great calendar or book for math fans. 
Any publishers interested ought to check with Pat:

3)  Presh Talwalkar on Viviani’s Theorem, Sperner’s Lemma, and more:

4)  An ‘intrepid’ interview with Barry Mazur:

5)  Brian Hayes points out this mathematical approach to the question “What is life?”:

6)  Today I blurbed briefly about 3 recent books:

...and just a couple of decades-old quotes to close out the week (...you know, for those too young to remember history, and thus subject to repeating it):
“Just remember that once the toothpaste is out of the tube, it is going to be very tough to get it back in.”  -- John Haldeman (1973)
"We have a cancer within, close to the presidency, that is growing. It is growing daily.”   -- John Dean (1973)


Friday, May 5, 2017

More Mathy Stuff


Math-Frolic was distracted by other things this week, so here's some of the mathy things it didn't report on:

1)  Intransitive dice provide the basis for a possible Polymath Project:

2)  And from Evelyn Lamb this week.…
Here, she’s smiling over tiling:

…and here playing with the Douady Rabbit fractal:

…and finally her newest monthly “tinyletter” with a lot more than just math in it:

3)  A new “Math Teachers At Play” blog carnival posted last weekend:

4)  And the 145th Carnival of Mathematics is here:

5)  I liked the 2 puzzles served up by The Riddler this week… but could only solve one of them :(

6)  The ‘Chaos game” from Numberphile:

7)  I’ve enjoyed Marcus du Sautoy’s encyclopedic new book (especially the last few chapters), “The Great Unknown,” which is more physics than math but still worth mentioning here. He was on NPR this week discussing it:

8)  Art Benjamin and Siobhan Roberts win math communication awards (h/t S. Strogatz):

9)  Nicely-written essay on prime numbers from a relatively new blog:

10)  Latest edition of the Saskatchewan Mathematics Teachers’ Society newsletter (The Variable) including a new column from Egan Chernoff:
http://smts.ca/wordpress/wp-content/uploads/2016/04/The-Variable-2017-May-June.pdf

11)  Andrew Gelman offers up his view of what hypothesis testing is all about:
http://andrewgelman.com/2017/05/04/hypothesis-testing-hint-not-think/

12)  I will RE-mention Grant Sanderson’s incredible new “Essence of Calculus” series (YouTube) as he keeps adding new videos:


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

1)  A VERY powerful “On Being” episode (especially for parents, or those with family tragedies) last weekend with Sheryl Sandberg and Adam Grant:
(…there are so many “On Being” episodes I love, and this one quickly becomes one of them!)

2)  Just an interesting, curious bit of news from the week (in the event you're preparing to be buried):
http://tinyurl.com/lajbz3d




Friday, April 28, 2017

Some Friday Math Picks


1)  James Tanton interviewed:

...and here, an experiment proposed with logarithms from by Dr. Tanton:

2)  Colm Mulcahy on the “Mathematics Genealogy Project”:

3)  Mark Chu-Carroll offers up an intro to “type theory”:

4)  Anna Haensch writes about “Gifted,” the movie and the trait:

5)  Series, as only Ben Orlin could explain them:

6)  Mike Lawler offered up a challenge to “everyone in and around math.” Care to take him up on it:
https://mikesmathpage.wordpress.com/2017/04/26/a-challenge-to-everyone-in-and-around-math/

...Mike's been on fire this week with interesting posts/problems, so check 'em out if you get the chance.

7)  "What Is a Manifold?":
http://blogs.ams.org/mathgradblog/2017/04/27/manifold-66/

8)  Andrew Gelman (and a lot of commenters) on "evidence-based design":
http://andrewgelman.com/2017/04/27/whole-fleet-wansinks-architecture-design-trillion-dollar-industry-founded-pseudoscience/


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

1)  In case you've somehow missed it, Jimmy Wales of Wikipedia is launching a new project to fight fake news, called “Wikitribune”:

2)  John Horgan interviews Peter Woit (mostly on physics):
https://blogs.scientificamerican.com/cross-check/why-string-theory-is-still-not-even-wrong/



Friday, April 21, 2017

Potpourri



1)  I admit it; I rarely tire of essays on the beauty of math:

2)  Presh Talwalkar on the United Airline fiasco and "Vickrey auctions":

3)  Ben Orlin’s post this week highlight’s Cornell’s John Hopcroft… and China:

4) “Maths Anxiety”:

5)  New provocative essay on mathematics from irascible Doron Zeilberger (dedicated to Reuben Hersh):
https://arxiv.org/pdf/1704.05560.pdf

6)  Andrew Gelman has found a statistics book he actually likes ;) :
http://andrewgelman.com/2017/04/20/teaching-statistics-bag-tricks-second-edition/

7)  Long, nice tribute to Bill Thurston (h/t S. Strogatz):
http://www.ams.org/samplings/feature-column/fc-2017-04

8)  Those interested, no doubt already know all about it, but just a reminder that the “March For Science” takes place tomorrow in Wash. D.C. (and all across the nation):

AND, it coincides with the National Math Festival in Wash. D.C. as well:


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

1)  Philosopher David Chalmers interviewed by John Horgan:

2)  Love and sex researcher Helen Fisher on this week’s episode of Krista Tippett’s “On Being”:


Monday, April 17, 2017

"The Calculus of Happiness"





Oscar Fernandez’s slim “The Calculus of Happiness” is a somewhat quirky popular math entry focusing on using math (very little calculus involved) as an aid to one’s health, wealth, and love life. No doubt some will find the book entertaining and enlightening depending on your interest in these 3 topic areas. And it’s nice to see a book devoted to showing the public how basic math applies directly to common areas of the public’s interest.

Part 1 deals with diet/eating/nutrition. Of course entire (and large) tomes have been written on these topics that Fernandez is devoting less than 40 pages to. Still, Fernandez distills much helpful, practical info into a small space, touching on several different subjects. 
In a similar way, I think the last (3rd) part on dating and relationships is a succinct, entertaining treatment, reducing some human complexity to algorithms and modeling.
Part 2 of the book, on the mathematics of financial matters was the one of most interest to me. The interesting take-home argument of the second part is that, overall, a portfolio of investments split about 50/50 between stocks and bonds is best for the long haul. That’s a more conservative approach than most argue in favor of, but Fernandez makes a strong case that if you’re not interested in trading or following your investments closely, than such a buy-and-hold approach with 50% stocks/bonds makes sense (it’s essentially a sort of turtle versus hare approach; sacrificing some gains in the best years to guard against major losses in the bad years, and sleep better at night!).
Each chapter of the book (there are 2 chapters to each Part) ends with a helpful little summary of the main mathematical and non-mathematical take-home points from the chapter, as well as some 'bonus practical tips.'

Your interest in this book will be largely determined by your interest in the 3 subject areas… on the one hand these are three areas that are already well-covered elsewhere to the point of overkill… on the other hand, they are covered so much, specifically because they are areas of continuing interest to so many people.
At less than 150 pages the volume is a quick read, and the Parts need not be read in the order given if your inclination is otherwise.
There are also 6 Appendices which flesh out more of the math that is touched on in the body of the book.

MAA review of the volume is here:

...and the author is interviewed at the Publisher's page here:
http://blog.press.princeton.edu/2017/03/22/oscar-e-fernandez-on-the-calculus-of-happiness/



Friday, April 14, 2017

This Friday's Mix


1)  Ramsey Theory progresses:

2)  Are you a math teacher who missed NCTM in San Antonio? Cathy Yenca will make you wish you’d been there:

…also for teachers, Jo Morgan regularly offers up “gems” for the classroom:

…and perhaps taking one more step Mike Lawler offered up a long post with 10 “complex, rich tasks” for students:

3) The “Linus Sequence” via Futility Closet:

4)  Alex Bellos explaining a slice of a Menger Sponge:

5) plus.maths.org has an ongoing “Women of Mathematics” series:

6)  Another amazing posting from Brian Hayes (factorials, patterns, number theory and more):

7)  Fawn Nguyen is incapable of writing an average post… she just opts to blow you away every time:


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

1)  This week’s This American Life re-ran a segment they’d run earlier on the Dunning-Kruger effect (which has received a lot of extra focus since Nov. 8, 2016):

[The entire show, 3 segments, is once again fascinating.]





Friday, April 7, 2017

For Your Weekend Browsing


1)  A new Carnival of Mathematics:

2)  “Yes, But Why?”… book for math teachers:

3)  “Aronson’s sequence” from Futility Closet:

4)  Erica Klarreich explains why state gerrymandering is more difficult for the courts to recognize than the rest of us:

5)  Nice intro to some basic probability paradoxes from “The Conversation”:

6)  Keith Devlin promoting a book and respectability for Fibonacci, while debunking legend:

7)  “The Improbability Principle”… an overview of a David Hand book:

8)  Andrew Gelman has Cornell on his mind (long post/rant):


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

1)  Teaching 5th graders to recognize fake news:

2)  Speaking of fakery, must-reading for fans of science and Seinfeld:




Friday, March 31, 2017

ICYM any of these...



1)  Natalie Wolchover with a math story most folks probably have not heard:

2)  Fawn Nguyen doing what she does best… being Fawn Nguyen:

3)  Re-visiting the “sofa problem” (h/t Cliff Pickover):

4)  Using finance to teach math in high school:

5)  Great interview & video with centenarian Richard Guy (who continues to work):

6)  I hesitate to even cite this (am so tired of the subject), but another general piece on the “hot-hand” notion in basketball. I’ve argued previously that the problem, which seems to vacillate between debunking and vindicating, is not whether it exists (YES, it does), but the ill-way it is often defined:

One might as well argue over whether or not (statistically-speaking) back pain actually exists or is just an illusion! 

7)  You’ve likely seen a lot on the Collatz conjecture, but you need to look at one more Numberphile treatment:

…meanwhile, Futility Closet posts about John Conway’s RATS sequence:

8)  P-values as “the tip of the iceberg”:

9)  If you’ve never heard of 'quasisymmetric Schur functions,' well, you have now (h/t Egan Chernoff):

10)  Since math buffs are often cryptographic buffs as well, I'll pass along this odd story of some code the FBI hasn't been able to crack in 15 years:

12)  Will end with one of my favorite quotes from the week; not mathematics, but from mathematician Jordan Ellenberg on Twitter ;) :

More
"Let's run government like a business" keeps rearing its head, like it's gonna be Google, when we all know it's actually gonna be Comcast.


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

1)  For the psycholinguistically-inclined, a fascinating, older David Mumford post 
I just ran across this week:

2)  At a time when enjoyable, uplifting stories on TV are scarce, CBS’s “60 Minutes” offered up one last weekend... the story of chess and young students in a small Mississippi town meeting success. The storyline is here; not sure how quickly the full video may be available:



Friday, March 24, 2017

A Few Bits From the Week


1)  Sudoku-lovers… Brian Hayes has another addiction to point you to:

2)  Evelyn Lamb talks about immigration… and mathematics:

3) Shortest known paper published” in a math journal:

4)  A Futility Closet problem very reminiscent of classic monk-climbing-mountain brainteaser:

5)  New interview with succinct, interesting Jordan Ellenberg here:
https://anthonybonato.com/2017/03/22/interview-with-a-mathematician-jordan-ellenberg/

6)  The connection between physics and the Riemann Hypothesis the last couple years has been intriguing, perhaps offering a new approach to the century+-old problem. Recent news about possible progress:
http://www.brunel.ac.uk/news-and-events/news/articles/Physicists-make-major-breakthrough-towards-proof-of-Riemann-hypothesis

7)  Yesterday, I wrote briefly about Eugenia Cheng's latest, "Beyond Infinity":
https://math-frolic.blogspot.com/2017/03/about-infinity.html

8)  And if you need some laughs to end the week (and you’re a mathematician), of course there's Ben Orlin:


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

1)  Scott Aaronson doubts the Universe is a simulation:

2)  I’ve spent a lot of hours with Umbrella Cockatoos over the years, but only discovered a couple months ago that they enjoy being brushed like a dog or a cat :):