New Books in Mathematics

The book we are discussing is by Brian Clegg, a well-known author of books on math and science -- but this is not exactly a book on math or science, although these subjects play a significant role. His latest book is Conundrum: Crack the Ultimate Cipher Challenge (Icon Books, 2019), which should delight and intrigue not only those who love math and science, but those who love solving puzzles. This book is a literary escape room, with a series of puzzles to be solved, all of which contribute to a final puzzle that concludes the book. And like the clues one finds in an escape room, Brian mercifully offers hints for the puzzles.

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Today's guest is distinguished researcher and statistician, Sir David Spiegelhalter. A fellow of the Royal Society, he is currently Chair of the Winton Centre for Risk and Evidence Communication at the University of Cambridge. He has dedicated his career, in his words to, “improving the way that quantitative evidence is used in society.” This includes (of particular interest to us) biostatistics and medical research.

David is an ISI highly cited researcher who has also focused much of his time and energy to public education through numerous media appearances, documentaries such as his recent BBC series geared towards children, and books such as the one we are discussing today.

That book, The Art of Statistics: How to Learn from Data, was published in the UK by Penguin in March, 2019 and recently released here in the US by Basic Books in September 2019.

Colin Miller and Dr. Keith Mankin host the popular medical podcast, PeerSpectrum. Colin works in the medical device space and Keith is a retired pediatric orthopedic surgeon.

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From the pyramids of Giza, to quasicrystals, to the proportions of the human face, the golden ratio has an infinite capacity to generate shapes with exquisite properties. This book invites you to take a new look at this timeless topic, with a compilation of research and information worthy of a text book, accompanied by over 200 beautiful color illustrations that transform this into the ultimate coffee table book.

In The Golden Ratio: The Divine Beauty of Mathematics (Race Point Press, 2018), Gary Meisner shares the results of his twenty-year investigation and collaboration with thousands of people across the globe in dozens of professions and walks of life. The evidence will close the gaps of understanding related to many claims of the golden ratio’s appearances and applications, and present new findings to take our knowledge further yet.

Whoever you are, and whatever you may know about this topic, you’ll find something new, interesting, and informative in this book, and may find yourself challenged to see, apply, and share this unique number of mathematics and science in new ways.

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Today I talked to Julian Havil about his latest book Curves for the Mathematically Curious: An Anthology of the Unpredictable, Historical, Beautiful, and Romantic (Princeton University Press, 2019). You don’t have to be mathematically curious to appreciate Julian’s talent for weaving mathematics and history together – but mathematical curiosity and a year or two of calculus will greatly add to your enjoyment of it. This is not your father’s – or grandfather’s – standard collection of conic sections, with perhaps a few curves of higher degree thrown in. This is a collection of elegant, unusual, and mathematically significant curves, chosen by a connoisseur, and beautifully presented for your delectation. You may recognize a few old favorites – the catenary and the normal curve come to mind – but many of the others will be new to you, as they were to me.

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Throughout the Age of Exploration, European maritime communities bent on colonial and commercial expansion embraced the complex mechanics of celestial navigation. They developed schools, textbooks, and instruments to teach the new mathematical techniques to sailors. As these experts debated the value of theory and practice, memory and mathematics, they created hybrid models that would have a lasting impact on applied science.

In Sailing School: Navigating Science and Skill, 1550-1800 (Johns Hopkins University Press, 2019), a richly illustrated comparative study of this transformative period, Margaret E. Schotte charts more than two hundred years of navigational history as she investigates how mariners solved the challenges of navigating beyond sight of land. She begins by outlining the influential sixteenth-century Iberian model for training and certifying nautical practitioners. She takes us into a Dutch bookshop stocked with maritime manuals and a French trigonometry lesson devoted to the idea that "navigation is nothing more than a right triangle." The story culminates at the close of the eighteenth century with a young British naval officer who managed to keep his damaged vessel afloat for two long months, thanks largely to lessons he learned as a keen student.

This is the first study to trace the importance, for the navigator's art, of the world of print. Schotte interrogates a wide variety of archival records from six countries, including hundreds of published textbooks and never-before-studied manuscripts crafted by practitioners themselves. Ultimately, Sailing School helps us to rethink the relationship among maritime history, the Scientific Revolution, and the rise of print culture during a period of unparalleled innovation and global expansion.

Lukas Rieppel teaches at Brown University. You can find more about him here, or find him on twitter here.

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As you may know, university presses publish a lot of good books. In fact, they publish thousands of them every year. They are different from most trade books in that most of them are what you might called "fundamental research." Their authors--dedicated researchers one and all--provide the scholarly stuff upon which many non-fiction trade books are based. So when you are reading, say, a popular history, you are often reading UP books at one remove. Of course, some UP books are also bestsellers, and they are all well written (and, I should say, thoroughly vetted thanks to the peer review system), but the greatest contribution of UPs is to provide a base of fundamental research to the public. And they do a great job of it.

How do they do it? Today I talked to Kathryn Conrad, the president of the Association of University Presses, about the work of UPs, the challenges they face, and some terrific new directions they are going. We also talked about why, if you have a scholarly book in progress, you should talk to UP editors early and often. And she explains how! Listen in.

Marshall Poe is the editor of the New Books Network. He can be reached at [email protected].

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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).

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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.

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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.

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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.

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