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PODCAST

New Books in Mathematics

This podcast is a channel on the New Books Network. The New Books Network is an academic audio library dedicated to public education. In each episode you will hear scholars discuss their recently published research with another expert in their field. Discover our 150+ channels and browse our 28,000+ episodes on our website: newbooksnetwork.com Subscribe to our free weekly Substack newsletter to get informative, engaging content straight to your inbox: https://newbooksnetwork.substack.com/ Follow

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All Episodes

67:46

Christopher J. Phillips, “The New Math: A Political...

New Books in Mathematics ·

2015/03/26

Christopher J. Phillips‘ new book is a political history of the “New Math,” a collection of curriculum reform projects in the 1950s & 1960s that were partially sponsored by the NSF and involved hundreds of mathematicians, teachers, professors, administrators, parents, and students. The New Math: A Political History (University of Chicago Press, 2015) explores the formation of an idea of the “American subject” in an environment where math was considered to be a component of intelligent citizenship

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53:00

Colin Adams, “Zombies and Calculus” (Princeton UP, 2014)

New Books in Mathematics ·

2014/10/15

The book discussed in this interview is Zombies and Calculus (Princeton University Press, 2014) by Colin Adams. This is a truly unique book; a novel written in the first-person by the survivor of a zombie apocalypse who has managed to make it that far thanks to his knowledge of calculus. The author starts his narrative by warning the reader that the book is not for the squeamish, but you shouldn’t be deterred by that, as I found the zombies to be more comical than horrific. The book is

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55:17

Jordan Ellenberg, “How Not To Be Wrong: The Power of...

New Books in Mathematics ·

2014/07/08

The book discussed in this interview is How Not To Be Wrong: The Power of Mathematical Thinking (Penguin Press, 2014), by Jordan Ellenberg. This is one of those rare books that belong on the reading list of every educated person, especially those who love mathematics, but more importantly, those who hate it. Ellenberg succeeds in explaining the value of mathematical reasoning without ever needing to go into technical detail, which makes the book ideal for those who want to learn why mathematics is

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62:44

Sue VanHattum, “Playing with Math: Stories from Math...

New Books in Mathematics ·

2014/06/26

[Re-published with permission from Inspired by Math] Sue VanHattum is a math professor, blogger, mother, author/editor, and fundraiser. She’s a real powerhouse of motivation for making math fun and accessible to more of our young folks. Sue has teamed up with a number of writers to compile a book, Playing With Math, which she is producing in partnership withMaria Droujkova in a community sponsored publication model. Sue and I shared a delightful chat about what math is, what the book is about, and

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75:09

Al Cuoco and Joe Rotman, “Learning Modern Algebra:...

New Books in Mathematics ·

2014/06/20

[Re-published with permission from Inspired by Math] The MAA (Mathematical Association of America) sent me a review copy of their new book Learning Modern Algebra: From Early Attempts to Prove Fermat’s Last Theorem. I don’t typically review textbooks but the title and then the contents of the book convinced me that I needed to interview the authors. Joe Rotman wasn’t available but I was able to chat with the other co-author, Al Cuoco. I was really struck with Al’s passion about teaching the teachers

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77:51

David Reimer, “Count Like an Egyptian: A Hands-on...

New Books in Mathematics ·

2014/06/09

[Re-posted with permission from Sol Lederman’s Wild About Math] I love novel ways of looking at arithmetic. I’m fascinated with how computers compute in binary, with tricks for simplifying calculations and with how Vedic mathematicians handle difficult arithmetic efficiently. So, when Princeton University Press sent me a review copy of their new book Count Like an Egyptian: A Hands-on Introduction to Ancient Mathematics (Princeton University Press, 2014), I immediately fell in love with it. I was

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44:32

Peter Gardenfors, “The Geometry of Meaning: Semantics...

New Books in Mathematics ·

2014/06/09

A conceptual space sounds like a rather nebulous thing, and basing a semantics on conceptual spaces sounds similarly nebulous. In The Geometry of Meaning: Semantics Based on Conceptual Spaces (MIT Press, 2014), Peter Gardenfors demonstrates that this need not be the case. Indeed, his research is directed towards establishing a formal, mathematically-grounded account of semantics, an account which – as expounded here – is nevertheless accessible. In this interview we discuss the essence of this

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53:41

Oscar E. Fernandez, “Everyday Calculus: Discovering...

New Books in Mathematics ·

2014/04/17

The book discussed in this interview is Everyday Calculus: Discovering the Hidden Math All around Us (Princeton University Press, 2014) by Oscar E. Fernandez, who teaches mathematics – and calculus in particular – at Wellesley College. While it can be read by someone who wants to obtain a sense of what calculus is and how it’s used, it is even more enjoyable and enlightening if the reader has taken the first semester of a calculus course. The author takes the reader through a day in the author’s

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61:00

Michael Strevens, “Tychomancy: Inferring Probability...

New Books in Mathematics ·

2014/04/15

When we’re faced with a choice between Door #1, Door #2, and Door #3, how do we infer correctly that there’s an equal chance of the prize being behind any of the doors? How is it that we are generally correct to choose the shorter of two checkout lines in the supermarket when we’re in a hurry? In his new book, Tychomancy: Inferring Probability from Causal Structure (Harvard University Press, 2013), Michael Strevens – professor of philosophy at New York University, argues that we are all equipped

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73:13

Tim Chartier, “Math Bytes: Google Bombs,...

New Books in Mathematics ·

2014/04/08

[Re-posted with permission from Wild About Math] 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 (Princeton University Press, 2014) 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

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51:33

Eli Maor and Eugen Jost, “Beautiful Geometry”...

New Books in Mathematics ·

2014/02/11

Beautiful Geometry (Princeton UP, 2014), by the mathematician prof. Eli Maor and the noted artist Eugen Jost. It’s a fascinating collaboration which helps to bridge the gap deplored by C. P. Snow in his classic The Two Cultures. If you’re a lover of geometry, you’ll find some of your favorites depicted here – as well as a number of theorems that will undoubtedly be new to many readers (including the interviewer). Each result is accompanied by an original work of art by Eugen Jost. It’s

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57:10

Edward Frenkel, “Love and Math: The Heart of Hidden...

New Books in Mathematics ·

2013/11/08

The book discussed in this interview is Love and Math: The Heart of Hidden Reality Basic Books, 2013) by Edward Frenkel of the University of California at Berkeley.It’s a toss-up which is more interesting – the description of Frenkel’s life or his description of his interest in – and love for – mathematics and physics. Before he was twenty years old, Frenkel had written a paper that a visiting Swedish physicist thought so intriguing that he smuggled it out of Russia.That paper started Frenkel on a

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76:16

Colm Mulcahy, “Mathematical Card Magic: Fifty-Two New...

New Books in Mathematics ·

2013/09/26

[Re-posted with permission from Wild About Math] I had the pleasure of interviewing mathematician and mathematical card magic innovator Colm Mulcahy. Dr. Mulcahy just published a book, Mathematical Card Magic: Fifty-Two New Effects (A K Peters, 2013) 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

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53:12

Brian Clegg, “Dice World: Science and Life in a...

New Books in Mathematics ·

2013/06/04

The book discussed in this interview is Dice World: Science and Life in a Random Universe (Icon Books, 2013), by Brian Clegg, an acclaimed British writer of books on science for the general public. Brian has a knack for taking concepts that seem abstruse and explaining them in ways that those who lack a technical background can readily understand. This talent is on display inDice World, where he takes the reader on an intriguing trip through the world of probability and statistics, and shows how

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57:01

Leonard Wapner, “Unexpected Expectations: The...

New Books in Mathematics ·

2013/05/06

Today I talked to Leonard Wapner about his new book Unexpected Expectations: The Curiosities of a Mathematical Crystal Ball (A.K. Peters, 2012). Prof. Wapner’s previous book, The Pea and the Sun, was an in-depth investigation of the Banach-Tarski Theorem, one of the most counterintuitive results in mathematics. Expectation is an extension of the idea of average value, and is a basic tool of probability theory that underlies both the gaming and insurance industries. Unexpected Expectations is a

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54:09

Lance Fortnow, “The Golden Ticket: P, NP, and the...

New Books in Mathematics ·

2013/04/02

Today we’ll be discussing Lance Fortnow‘s bookThe Golden Ticket:P, NP, and the Search for the Impossible (Princeton University Press, 2013).The book focuses on the challenges associated with solving problems requiring significant computation, such as “What is the largest group of Facebook users, all of whom know each other?”If it is shown that all computational problems can be solved relatively easily (this is known as showing that P=NP), then such problems as finding a cure for cancer and other

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60:57

Leila Schneps and Coralie Colmez, “Math on Trial”...

New Books in Mathematics ·

2013/03/13

You may well have seen “Numb3rs,” a TV show in which mathematicians help solve crimes. It’s fiction. But, as Leila Schneps and Coralie Colmez show in their eye-opening new book Math on Trial: How Numbers Get Used and Abused in the Court Room (Basic Books, 2013) math does play a role in criminal prosecution. Alas, it’s often bad math and, as such, often leads to bad outcomes: people get off who shouldn’t and others get convicted who shouldn’t. Schneps and Colmez show how math has been misused in ten

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68:00

Roger Hart, “The Chinese Roots of Linear Algebra”...

New Books in Mathematics ·

2012/07/27

Roger Hart‘s The Chinese Roots of Linear Algebra (Johns Hopkins University Press, 2011) is the first book-length study of linear algebra in imperial China, and is based on an astounding combination of erudition and expertise in both Chinese history and the practice and history of linear algebra. Alternating among an interdisciplinary array of materials and ideas that range from the Nine Chapters on the Mathematical Arts to modern matrix theory, Hart argues for the importance of visualization to the

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