New Books in Mathematics

The things that make people academics -- as deep fascination with some arcane subject, often bordering on obsession, and a comfort with the solitude that developing expertise requires -- do not necessarily make us good teachers. Jessamyn Neuhaus’s Geeky Pedagogy: A Guide for Intellectuals, Introverts, and Nerds Who Want to Be Effective Teachers (West Virginia University Press, 2019) helps us to identify and embrace that geekiness in us and then offers practical, step-by-step guidelines for how to turn it to effective pedagogy. It’s a sharp, slim, and entertaining volume that can make better teachers of us all.Stephen Pimpare is Senior Lecturer in the Politics & Society Program and Faculty Fellow at the Carsey School of Public Policy at the University of New Hampshire. He is the author of The New Victorians (New Press, 2004), A Peoples History of Poverty in America (New Press, 2008), winner of the Michael Harrington Award, and Ghettos, Tramps and Welfare Queens: Down and Out on the Silver Screen (Oxford, 2017). Learn more about your ad choices. Visit megaphone.fm/adchoicesSupport our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematics

The institutional history of mathematics in the United States comprises several entangled traditions—military, civil, academic, industrial—each of which merits its own treatment. David Lindsay Roberts, adjunct professor of mathematics at Prince George's Community College, takes a very different approach. His unique book, Republic of Numbers: Unexpected Stories of Mathematical Americans through History(Johns Hopkins University Press, 2019), anchors 20 biographical chapters to a decadal series of events, whose mathematical significance could not often have been anticipated. These short biographies range from the inauguration of military and civil engineering (Sylvanus Thayer) and the textbook industry (Catharine Beecher and Joseph Ray) to the influence of geopolitics during and after the Cold War (Joaquin Basilio Diaz, John F. Nash Jr.), and over the course of the book the subjects witness the professionalization of the research community (Charles H. Davis), radical expansions of educational access (Kelly Miller, Edgar L. Edwards Jr.), and contentious, transgenerational debates over curriculum design (Izaak Wirzsup, Frank B. Allen), among many other themes. Through their professional and institutional connections, the subjects of the chapters form a connected component, providing intriguing narrative hooks across time, geography, and status while evidencing the tightly bound community of American mathematics scholarship. The book can be read as professional history or as a collection of biographical essays, and i expect it to become a charming entry point for mathematical, historical, or not-yet-hooked readers into the forces that have shaped the discipline.Suggested companion work: David E. Zitarelli, A History of Mathematics in the United States and Canada: Volume 1: 1492–1900.Cory Brunson (he/him) is a Postdoctoral Fellow at the Center for Quantitative Medicine at UConn Health. Learn more about your ad choices. Visit megaphone.fm/adchoicesSupport our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematics

Our guest today is Al Posamentier, the lead author of Tools to Help Your Children Learn Math (WSPC, 2019). Helping your children with math is one of the most important things a parent can do to further their children’s educational progress, and Al has teamed with other math educators, psychologists, and counselors to write a book which many will find extremely helpful in what is often a difficult and frustrating job. Learn more about your ad choices. Visit megaphone.fm/adchoicesSupport our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematics

From 1667 to 1676, a pivotal controversy played out among several mathematical luminaries of the time, partly in the proceedings of the Royal Society but partly in private correspondence. The controversy concerned whether an infamous problem of Ancient Greek geometry, the quadrature of the central conic sections (better known as squaring the circle), could be solved using the classical tools of straightedge and compass. While its impossibility would not be rigorously proven for two more centuries, the theoretical and philosophical implications of these attempts to settle the issue were constitutive of the contemporaneous development of calculus. Dr. Davide Crippa's book The Impossibility of Squaring the Circle in the 17th Century (Birkhäuser, 2019) is a deep dive into this little-covered episode in the modern European history of mathematics. He examines the advances of Gregory and Leibniz in full mathematical detail, clarifying in current notation and elegant figures the steps and missteps of their constructions and arguments, and in some cases through the lens of critical and often fierce exchanges with their peers, including recently-published correspondence that traces the former's influence on the latter's efforts. The book reveals The Impossibility of Squaring the Circle in the 17th Century to have been a sensation of its time, and deserving of a treatment of its own. Cory Brunson (he/him) is a Postdoctoral Fellow at the Center for Quantitative Medicine at UConn Health. Learn more about your ad choices. Visit megaphone.fm/adchoicesSupport our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematics

Today I talked with Chris Bernhardt about his book Quantum Computing for Everyone (MIT Press, 2019). This is a book that involves a lot of mathematics, but most of it is accessible to anyone who survived high school algebra.  Even a math-phobic can read the book, skip the math, and then more than hold his or her own in any but the highest-level discussion of quantum computing.  For those of us who love math, the underlying math is elegantly simple and beautifully presented – and the same can be said of the non-mathematical material. as well.  Learn more about your ad choices. Visit megaphone.fm/adchoicesSupport our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematics

In the information age, knowledge is power. Hence, facilitating the access to knowledge to wider publics empowers citizens and makes societies more democratic. How can publishers and authors contribute to this process? This podcast addresses this issue. We interview Professor Austin Choi-Fitzpatrick, whose book, The Good Drone: How Social Movements Democratize Surveillance (forthcoming with MIT Press) is undergoing a Massive Online Peer-Review (MOPR) process, where everyone can make comments on his manuscript. Additionally, his book will be Open Access (OA) since the date of publication. We discuss with him how do MOPR and OA work, how he managed to combine both of them and how these initiatives can contribute to the democratization of knowledge.You can participate in the MOPR process of The Good Drone through this link: https://thegooddrone.pubpub.org/Felipe G. Santos is a PhD candidate at the Central European University. His research is focused on how activists care for each other and how care practices within social movements mobilize and radicalize heavily aggrieved collectives. Learn more about your ad choices. Visit megaphone.fm/adchoicesSupport our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematics

Our guest today is Kartik Hosanagar, the author of A Human’s Guide to Machine Intelligence: How Algorithms Are Shaping Our Lives and How We Can Stay in Control(Viking, 2019). This is one of those rare books that I think everyone can read and I think everyone should read. In fact, knowledge of algorithms can in some sense be considered to be the literacy of the 21st century, and the author has written a book which can greatly held advance this type of literacy. If you want to become 21st-century literate, you should read this instructive and immensely enjoyable book. Learn more about your ad choices. Visit megaphone.fm/adchoicesSupport our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematics

Andrew C. A. Elliott‘s Is That a Big Number? (Oxford University Press, 2018) is a book that those of us who feast on numbers will absolutely adore, but will also tease the palates of those for whom numbers have previously been somewhat distasteful.  This book helps us not only to realize the relative magnitudes of many of the numbers which surround us, but also helps us understand precisely how and why our understanding of the universe often comes down to the numbers which describe it.  It’s just a shame that Pythagoras, who was reputed to say that “All is number,” isn’t around to appreciate it. By the way, the Elliot maintains a great website called “Is That a Big Number.” Well worth visiting! Learn more about your ad choices. Visit megaphone.fm/adchoicesSupport our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematics

Eli Maor explains the math-music connection from Pythagoras to Schoenberg. Topics include parallel crises in physics and music, acoustic principles demonstrated with a slinky, comparison of ear and eye perception of vibrations, Stravinsky's revolutionary music, and the crucial role of reference systems in art and music.

Today I talked to Vicky Neale about her new book Closing the Gap: The Quest to Understand Prime Numbers (Oxford University Press, 2017). The book details one of the most exciting developments to happen in the last few years in mathematics, a new approach to the Twin Primes Conjecture. The story involves mathematicians from five different centuries and probably every continent except Antarctica. Vicky does a great job of telling not only what the problem is and how work on it has proceeded, but also how mathematical research has evolved given the resources available in the twenty first century. If you like numbers, you’ll love this book—and if you don’t like numbers, maybe this book can help you appreciate them. Learn more about your ad choices. Visit megaphone.fm/adchoicesSupport our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematics