Math StackExchange has a great list of "visually stunning math concepts which are easy to explain."
My favorite kind of Math challenges are those that children can understand and professional mathematicians can't solve easily (or at all.) Math Bytes: Google Bombs, Chocolate-Covered Pi, and Other Cool Bits in Computing is a brand new book from Princeton University Press that has a great collection of fun problems that kids (middle school and above) and their parents can work on together. Author Tim Chartier does a fantastic job of weaving some wonderful stories into his sharing of a number of challenges that are either original or new spins on old problems. And, many (all?) of the puzzles in the book are classroom tested.
Tim is a mathematician and a professional mime. He's got a neat relationship with the Mathematical Association of America, and with the Museum of Mathematics in New York City. He's got a DVD course coming out, and a second book. Tim is quite the math celebrity and a really great guy. I think you'll all enjoy the many topics we manage to touch on in just over an hour. Oh, and if you didn't win a billion dollars in Warren Buffett's March Madness challenge then you might want to listen to the podcast and read the book.
About Tim Chartier
Tim Chartier is an Associate Professor in the Department of Mathematics and Computer Science at Davidson College. In 2014, he was named the inaugural Mathematical Association of America’s Math Ambassador. He is a recipient of a national teaching award from the Mathematical Association of America. Published by Princeton University Press, Tim authored Math Bytes: Google Bombs, Chocolate-Covered Pi, and Other Cool Bits in Computing and coauthored Numerical Methods: Design, Analysis, and Computer Implementation of Algorithms with Anne Greenbaum. As a researcher, Tim has worked with both Lawrence Livermore and Los Alamos National Laboratories on the development and analysis of computational methods targeted to increase efficiency and robustness of numerical simulation on the lab’s supercomputers, which are among the fastest in the world. Tim’s research with and beyond the labs was recognized with an Alfred P. Sloan Research Fellowship. (More)
About Math Bytes
[From The Princeton University Press Web-site]
This book provides a fun, hands-on approach to learning how mathematics and computing relate to the world around us and help us to better understand it. How can reposting on Twitter kill a movie's opening weekend? How can you use mathematics to find your celebrity look-alike? What is Homer Simpson's method for disproving Fermat's Last Theorem? Each topic in this refreshingly inviting book illustrates a famous mathematical algorithm or result--such as Google's PageRank and the traveling salesman problem--and the applications grow more challenging as you progress through the chapters. But don't worry, helpful solutions are provided each step of the way.
Math Bytes shows you how to do calculus using a bag of chocolate chips, and how to prove the Euler characteristic simply by doodling. Generously illustrated in color throughout, this lively and entertaining book also explains how to create fractal landscapes with a roll of the dice, pick a competitive bracket for March Madness, decipher the math that makes it possible to resize a computer font or launch an Angry Bird--and much, much more. All of the applications are presented in an accessible and engaging way, enabling beginners and advanced readers alike to learn and explore at their own pace--a bit and a byte at a time.
- Tim Chartier at the Huffington Post
- Tim on twitter
- Mime-matics on Vimeo
- Work with the ESPN show Sports Science and a podcast about it
- The list of national media interest in March Madness
I've admitted before that Physics and I have never gotten along. But, science fiction is something I enjoy. So, when Princeton University Press sent me a copy of Physics Professor Chuck Adler's new book "Wizards, Aliens, and Starships," I was intrigued enough that I wanted to interview the author. This interview rambled, but in a good way. Chuck is a great guest, he's passionate about physics and math as well as fantasy and science fiction. We flowed through a number of subjects and had a grand time.
About Chuck Adler
Chuck Adler grew up in the DC suburbs, and went to a very good public high school. He attended Brown University, where he got a bachelor of science in Physics, and then stayed there for graduate school, eventually getting a Ph. D. in laser physics. Dr. Adler has been a faculty member at St. Mary's College since 1997; his research area is atomic physics and light scattering, particularly atmospheric optics (rainbows, ice crystal halo displays and the like). He was the chair of the 10th international "Light and Color in the Open Air" conference in 2010. In addition to science fiction, he enjoys mysteries and historical novels, plus almost any technical book on almost any subject, particularly cookbooks, of which he owns several hundred. He enjoys cooking a great deal, particularly baking bread.
About "Wizards, Aliens, and Starships"
From teleportation and space elevators to alien contact and interstellar travel, science fiction and fantasy writers have come up with some brilliant and innovative ideas. Yet how plausible are these ideas--for instance, could Mr. Weasley's flying car in the Harry Potter books really exist? Which concepts might actually happen, and which ones wouldn't work at all? Wizards, Aliens, and Starships delves into the most extraordinary details in science fiction and fantasy--such as time warps, shape changing, rocket launches, and illumination by floating candle--and shows readers the physics and math behind the phenomena. More...
Princeton University Press recently published "Undiluted Hocus-Pocus: The Autobiography of Martin Gardner." I've not reviewed the book since these days I pretty much only interview authors and living authors at that. So, no review from me, but I highly recommend Shecky's review and Shecky's first impressions at Math Tango.
What inspired to blog this afternoon was an email I received from Andrew S. DeSio, Director of Publicity for Princeton University Press. Andrew has asked me to help spread the word that Martin Gardner really did write his own autobiography. Here's an excerpt from Andrew's message.
"Since the book has released some critics of the bio have claimed the book was posthumously pieced together by friends of the famed math writer and that the new biography is a collaboration between the Press and friends of Gardner. This is simply not true. Prior to his death, Martin Gardner wrote a complete manuscript of his autobiography. While some of his dearest friends helped us fine tune the project, this book is absolutely his own. Our math editor Vickie Kearn and I would like the opportunity to refute this claim and so we are hoping your blog might be the perfect forum for us to post a “Letter” with our official statement on the book."
I have to say that in all of my numerous dealings with Princeton University Press I have never ever sensed any action that might be out of integrity. In particular, I've had a few email exchanges with their math editor Vickie Kearn and I even interviewed her for one of my podcasts and, if Vickie says that Martin Gardner wrote his autobiography himself, I believe her.
Here is Vickie's letter. And, here is an excerpt from Martin Gardner's original manuscript, courtesy of Princeton University Press.
Who Wrote Martin Gardner’s Autobiography?
By Vickie Kearn, Mathematics Editor, Princeton University Press
Once we began to promote Undiluted Hocus Pocus: The autobiography of Martin Gardner, a few people asked me “Who wrote the book?” I initially thought they were confusing a biography with an autobiography but now that I have read a few reviews on amazon, I understand why they asked the question. Some believe that Gardner’s friends put together bits and pieces of things that Martin Gardner wrote. So to clarify things, here is the back story about the publication of this book.
I never met Martin Gardner. I never talked with him on the phone. But, we did write letters to one another for almost 25 years. No one writes letters anymore so when I receive one, I always get excited—especially when it is from someone like Martin Gardner. His letters were always full of fun information and sometimes they concerned book projects we were working on. The letters were always written on a typewriter and corrected by hand in ink, often green. He wrote in small script and it sometimes took a while to sort out the handwriting but the letters were always a treasure trove and worth the effort to decipher.
When Martin’s son, Jim Gardner, contacted me and asked if Princeton University Press would be interested in publishing Martin’s autobiography, I was thrilled. I could not think of a book I would more like to publish. As with many people, Martin Gardner had a huge amount to do with my becoming a math major so being able to do something for him was a fantastic opportunity.
When Jim sent the manuscript I started laughing because it looked like an extremely long letter. It was written with the same typewriter and edited in the same way as his letters. I have attached a page from the manuscript in case you never corresponded with Martin Gardner.
Jim and I talked for a long time about Martin’s wishes for the manuscript and we decided that we would change as little as possible in the manuscript. We could not ask the author his opinion about any changes so we kept asking ourselves would Martin like any changes we planned before we made them. We did correct typos and filled in all the ??? he had sprinkled throughout the manuscript. We confirmed some dates and the order in which events took place.
There are a few places in the manuscript where there is some repetition. Martin had many interests and we knew some people would go only to the chapters that interested them. So, in cases where we thought that might happen, we allowed the repeated material to stand.
Some people ask why it took so long to publish the book after Martin’s death. He finished the manuscript a few months before he died and passed it to his son to decide what to do with it. With any large estate, there are lots of decisions to make and time passes quickly. People who knew Martin well have found some wonderful stories in the book that they never heard before. Other people wish there was more in the book about other things and wonder why he included what he did. We will never know the answer to that question but I do know the answer to:
Who wrote Martin Gardner’s autobiography? He did!
We spent a delightful hour discussing his book, his love of math and magic, and the inspiration behind writing the book. Plus, Dr. Mulcahy shares a few challenges listeners might enjoy chewing on, sprinkled throughout the interview. And, we discuss Martin Gardner, who Colm Mulcahy knew for the last decade of his life and met with several times.
You may also enjoy Shecky's text interview with Colm Mulcahy at Math Tango.
About Colm Mulcahy
Colm Mulcahy is professor of mathematics at Spelman College, in Atlanta, where he has taught since 1988. He trained in algebra, and has also written papers on CAGC and wavelets. Over the last decade, he has been at the forefront of publishing original "mathemagical" principles and effects, particularly in his long-running bi-monthly Card Colm for the Mathematical Association of America (MAA). He also blogs at the Aperiodical and the Huffington Post.
He's particularly active in Gathering for Gardner and the associated Celebration of Mind initiative, and getting more involved in Maths Week Ireland and Julia Robinson Mathematics Festival outreach activities.
In 1997, Dr. Mulcahy received the MAA's Allendoerfer Award for excellence in expository writing, for an article on wavelets from Mathematics Magazine (Dec 1996). His interests include algebra, number and geometry. He earned a B.Sc. and M.Sc. in mathematical science from University College Dublin, in his native Ireland, and a Ph.D. from Cornell University for research in the abstract algebraic theory of quadratic forms.
Celebration of Mind
About Mathematical Card Magic: Fifty-Two New Effects
Mathematical card effects offer both beginning and experienced magicians an opportunity to entertain with a minimum of props. Featuring mostly original creations, Mathematical Card Magic: Fifty-Two New Effects presents an entertaining look at new mathematically based card tricks.
Each chapter contains four card effects, generally starting with simple applications of a particular mathematical principle and ending with more complex ones. Practice a handful of the introductory effects and, in no time, you’ll establish your reputation as a "mathemagician." Delve a little deeper into each chapter and the mathematics gets more interesting. The author explains the mathematics as needed in an easy-to-follow way. He also provides additional details, background, and suggestions for further explorations.
Suitable for recreational math buffs and amateur card lovers or as a text in a first-year seminar, this color book offers a diverse collection of new mathemagic principles and effects.
When I interviewed Ken Fan of Girls' Angle I learned about Kiki and her wonderful work. Kiki is passionate about improving people's relationships to computers, beyond basic literacy to programming and understanding how computers think. While our interview was largely about computers and not math, we both realized that at the core of both is a blend of logical and creative thinking.
Kiki's passion for changing experiences, especially those of young girls, is contagious. Listen and tell us if you agree.
About Kiki Prottsman
Having dedicated her life to showing women how impressive they are, Kiki is an active role model on FabFems. Her enthusiasm for science and technology become contagious as she introduces under-represented participants to unlikely subjects.
With experience using both sides of her brain, Kiki came to computer science for the artistry of problem solving. She spends her days not only as the Executive Director and Founder of Thinkersmith, but also teaching computer science to undergraduates at the University of Oregon.
Here is a fun question at Quora:
There are some remarkably geeky answers. Those of you who write code might enjoy the second answer, by Anders Kaseorg.
Welcome to Carnival of Mathematics #99. Wikipedia provides some nice trivia about the number 99.
99 is the ninth repdigit, a palindromic number and a Kaprekar number. It is the sum of divisors of the first eleven positive integers.
99 is the sum of the cubes of three consecutive integers:
99 = 2^3 + 3^3 + 4^3
And, I personally like that 99 is the difference of two squares: 99=10^2-1^2.
Now, onto the carnival articles.
John Cook shares Recognizing numbers. For Python users, SymPy is a symbolic math package that "takes a floating point number and tries to simplify it: as a fraction with a small denominator, square root of a small integer, an expression involving famous constants, etc."
Mike Thayer, in Algebra and Geometry, asks this question: "I teach algebra 1, to 9th and 10th graders, mainly. I also teach geometry to the same age group. I'm wondering the following: Why is it that the conversations in geometry are so much more interesting, generally?"
Peter Rowlett takes a break from PhD preparation to explore Ox Block probabilities. "I'm not blogging much in the run up to my PhD thesis deadline, but my curiosity got the better of me with this one. Having seen (via Twitter) that it was being played at a Maths Jam, I bought an old game called Ox Blocks, which offers “Noughts and Crosses[/Tic Tac Toe] with a novel twist”. Here, I investigate the probabilities of rolling an unusual die."
Thomas Woolley writes Egg shells to turtle shells. "No matter how you initially orient the gömböc it will always wobble and rotate itself to finish standing upright. Importantly, the gömböc is made of only one material, so its density is uniform. Mathematically, the gömböc is known as a mono-monostatic body. This simply means that it has exactly one stable and one unstable equilibrium point."
Tony, a university maths professor in London, in My favorite equation considers whether there's a more interesting formula than Euler's formula. "So McKay's formula may not be as immediately beautiful as Euler's, but it has something of the same spirit (and perhaps even importance). It demonstrates a very deep connection between group theory and modular forms; it's mysterious and hard to understand, and it's inspiring important mathematics. And it says a lot about the serendipity which lies behind insights even in a subject as apparently logical and rigorous as mathematics."
Simon Gladman wonders what pendulum waves might sound like in The Sweet Sound of Pendulum Waves - in Glorious Stereo! "I had a little play with Pendulum Waves the other day and since then I've been wondering what sort of sound they would make if I played a tone as each pendulum reached its apex."
Have you ever wondered Why are determinants defined the weird way they are? If you've ever wondered why, whether or not you've studied linear algebra, you might enjoy this article. It'll give you some great material for your next party conversation!
Yao-Hong Kok is a Master's student studying control theory. Math, Control Theory and Two Issues invites interested parties into a discussion. "Control theory is one of those fields that requires a lot of mathematics. I have been in the field for roughly 2 years now and I have realized that they are 2 big issues within control theory, namely: (i) identity of a control engineer/theorist, and (ii) stagnation of fundamental theory advancements. In this post, I would like to relate mathematics to the above issues and perhaps generate some discussions."
Maria Droujkova shares Math dreams meeting May 20, 2013. "Curriculum developers' elephant in the room is a simple question: "Who wants that stuff, anyway?" We decided to ask parents what do they want for their kids, in math. Deep is the chasm between what parents want, and what existing curricula provide..."
Shecky Riemann, inspired by Martin Gardner's passing to start his blog, writes Remembering... Gardner three years after his death. "Not to take anything away from our Veterans, but this is a math blog, and I'll use the opportunity of Memorial Day to once again remember Martin Gardner, whose death just over 3 years ago inspired me to start this endeavor (with no idea it would still be up-and-running 3 years later!!)."
Herminio Lopez examines an interesting puzzle in A black (and red) hole. "Thanks to a prize consisting on the proceeds of a football match, we learn about some numbers that attract the others, which can't escape from them. Mathematical sequences which lead to mathematical black holes."
In Demystifying the Möbius, Burkard and Marty take readers on a nice journey through the many twists and turns that one can take with these paper treats.
Predicting Sums is a fun article at Grey Matters. It shows a nice math trick one can perform with a little knowledge of digital roots (aka nine's complements).
Math Munch is a great blog for children of all ages that describes itself as "A Weekly Digest of the Mathematical Internet." Their latest edition is Solitons, Contours, and Thinking Sdrawkcab. Check it out if you've not yet discovered this blog.
The Aperidical is another of my favorite blogs. They describe themselves as "a meeting-place for people who already know they like maths and would like to know more. It was begun by Katie Steckles, Christian Perfect and Peter Rowlett as a shared blogging outlet and grew out of our desire to have a place on the web where we could keep up to date with what’s going on elsewhere, and to share the mathematical things we do." You might also recognize Aperiodical as the stewards of this Math Carnival. Christian authored this fun piece, Integer sequence review: A000959.
If you've ever wondered what math and the meaning of life were related, check out 42 at Calculus Humor. This article deserves to go viral. Really.
Finally, I'll share one of my own favorite recent articles, Ken Fan: Inspired by Math #29. It's a podcast interview where Ken and I had a nice informal chat without much preparation before-hand.
A friendly reminder:
I'll be hosting the next Carnival of Mathematics. Please check out this URL to learn more about the carnival, to vist past carnivals, or to submit your blog article for #99. Submission deadline is 6/1/13.
I'll be hosting the next Carnival of Mathematics. Please check out this URL to learn more about the carnival, to vist past carnivals, or to submit your blog article for #99. Submission deadline is 6/1/13.