New Books in Mathematics

Alfred S. Posamentier and Robert Geretschlager, The Circle: A Mathematical Exploration Beyond the Line (Prometheus Books, 2016) goes considerably beyond what its modest title would suggest. The circle has played a pivotal role–that’s “role” with an ‘e,’ but its ability to “roll” with an ‘l’–has helped produce our industrial civilization. Moreover, the circle appears in our art, our literature, and our culture as well. This delightful book will not only reacquaint readers with the pleasures of the geometry they once knew, but will show how the circle continues to enchant mathematicians today, who continue to discover new and surprising properties about this most fundamental of shapes. Learn more about your ad choices. Visit megaphone.fm/adchoicesSupport our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematics

Jennifer Beineke and Jason Rosenhouse‘s new book The Mathematics of Various Entertaining Subjects: Research in Recreational Math (Princeton University Press, 2015) covers a multitude of topics and is in many ways as entertaining as the various subjects it describes. Even though the book can be skimmed simply to expose one to various aspects of recreational mathematics, I think it’s fair to say that some mathematical background is needed to fully appreciate it. But even if you’re only willing to skim the book, you’re going to find sections which will make you want to dive in more deeply. Learn more about your ad choices. Visit megaphone.fm/adchoicesSupport our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematics

Adam Kucharski, who won the 2012 Wellcome Trust Science Writing Prize, has delivered another winner in an area rife with both winners and losers. The Perfect Bet: How Science and Math Are Taking the Luck Out of Gambling (Basic Books, 2016) is a brilliant, fascinating, and sometimes slightly terrifying look at how math and science are not just conquering gambling, the algorithms that math has devised and the computerized means of implementing them are paradoxically simultaneously removing risk and creating a lot more of it. Jim Stein is an emeritus professor of mathematics at California State University, Long Beach. As has been noted, the word ’emeritus’ comes from the Latin ‘ex’ — meaning ‘out’ — and ‘meritus’ — meaning ‘ought to be’. Despite that, Jim still teaches a course a semester, either at CSULB or El Camino Community College. He is the author of L.A. Math: Romance, Crime and Mathematics in the City of Angels, Cosmic Numbers: The Numbers That Define the Universe, The Paranormal Equation, How Math Can Save Your Life, The Right Decision, and How Math Can Save the World. He responds to any and all emails addressed to jim.stein@csulb.edu Learn more about your ad choices. Visit megaphone.fm/adchoicesSupport our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematics

Romance. Crime. Mathematics. These things do not go together. Or do they? James D. Stein thinks they do, and he admirably shows us how in his wonderful collection of stories L.A. Math: Romance, Crime, and Mathematics in the City of Angels (Princeton University Press, 2016). Jim’s a mathematician, but don’t let that put you off: he’s the author of several popular books and an excellent writer at that. In this interview we talk about writing “clean”, math-phobia, and what everyone should really know, math-wise. Listen in. Learn more about your ad choices. Visit megaphone.fm/adchoicesSupport our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematics

Today I’m talking with Lynn Gamwell about Mathematics and Art: A Cultural History (Princeton University Press, 2015). This book is a breathtaking combination of scholarship and beauty, tracing the interplay of mathematics and art throughout mankind’s history, East and West. Gamwell is a lecturer in the history of mathematics and science at the School of Visual Arts in New York, and thus she is uniquely positioned to write a book that brings together the two disparate cultures described by C.P. Snow in his 1959 essay. Snow would have appreciated how the author communicates the depth, passion, and beauty that characterize each culture, while describing how each inspires the other. The in-depth discussion is brought to life by 440 stunning artworks and 102 crystal-clear math diagrams. This is a big, beautifully produced book that you will want to place on your coffee table. Learn more about your ad choices. Visit megaphone.fm/adchoicesSupport our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematics

Brian Clegg, who is arguably the most prolific science writer since Isaac Asimov, and almost certainly the most prolific British one, has written a delightfully tantalizing book entitled How Many Moons Does the Earth Have? The Ultimate Science Quiz Book (Icon Books, 2015). It’s a delectable collection of science quiz questions – and although it includes classics such as “Why Is the Sky Blue?”, many will seriously challenge even the most knowledgeable. You may finish the quiz a lot more humble about your scientific knowledge (as did your humbled correspondent), but that is more than compensated by how much you’ll learn about some of the more intriguing and sometimes lesser-known aspects of science — and how much you’ll enjoy it. And isn’t that why you want to read about science in the first place? Learn more about your ad choices. Visit megaphone.fm/adchoicesSupport our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematics

Who made life risky? In his dynamic new book, How Our Days Became Numbered: Risk and the Rise of the Statistical Individual (University of Chicago Press, 2015), historian Dan Bouk argues that starting in the late nineteenth century, the life-insurance industry embedded risk-making within American society and American psyches. Bouk is assistant professor of history at Colgate University, and his new book shows how insurers categorized individuals and grouped social classes in ways that assigned monetary value to race, class, lifestyles, and bodies. With lively prose, Bouk gives historical context and character to the rise of the “statistical individual” from the Guided Age to the New Deal. Bouk’s primary argument is that risks did not always already exist, nor was risk invented by the medical establishment. Instead, the threat (and reality) of economic crisis helped insurers to create risk as a commodity, and eventually to control the lives it measured. As Bouk phrases it in the interview, “Insurers improved their bottom line by improving Americans’ bottom lines.” Bouk invites readers critically to reflect upon how we have come to see ourselves through a statistical lens in our daily lives– an issue of continued relevance in the age of big data and vast analytical capabilities. Learn more about your ad choices. Visit megaphone.fm/adchoicesSupport our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematics

John Allen Paulos, who has accomplished the unheard-of double of writing best-sellers about mathematics and inserting a word (‘innumeracy’) into the language, has attempted another ambitious feat – bringing mathematics to bear on one of the few subjects it has yet to examine: biography and autobiography. A Numerate Life (Prometheus Books, 2015) is simultaneously a charming memoir and a highly entertaining venture into mathematics, literature, and philosophy. This is one of those rare books that, when you have finished a section, you are torn between going on to the next section and re-reading the last section to make sure that you got everything out of it. The subtitle of the book is “A Mathematician Explores the Vagaries of Life, His Own and Probably Yours”. You’ll be a little skeptical about that subtitle before you read the book, but when you finish it, you’ll realize the subtitle nails it — he’s talking, not just about himself, but about you. fascinating read. Learn more about your ad choices. Visit megaphone.fm/adchoicesSupport our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematics

Today we’ll be talking about The Magic of Math (Basic Books, 2015)by Arthur Benjamin. This is a book that has the gee-whiz feeling you got when you first encountered George Gamow’s classic One, Two, Three … Infinity, but brought up to date and with much more in the way of solid mathematics that students can actually use. What makes this book especially appealing is that Benjamin emphasizes the magic that can be found in the mathematics that students study as they proceed through elementary and secondary schools. Students study arithmetic, algebra, geometry, and trigonometry, but too often the way these courses are taught resembles hospital food – nourishing but tasteless. Every teacher should have a copy of The Magic of Math to help combat the blandness and boredom that students too often experience in the classroom. Learn more about your ad choices. Visit megaphone.fm/adchoicesSupport our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematics

Almost 400 years ago, Galileo wrote that the book of nature is written in the language of mathematics. Today, mathematics is integral to physics and chemistry, and is becoming so in biology, economics, and other sciences, although amid great controversy. The messy reality of biological creatures and their social relations cannot be captured in mathematical models or computer simulations, it is argued. But what is the relation between mathematics and physical reality? Do highly abstract mathematical formalisms and computer simulations yield empirical knowledge? If so, when, and how? In Reconstructing Reality: Models, Mathematics and Simulations (Oxford University Press, 2015), Margaret Morrison, Professor of philosophy at the University of Toronto, considers the epistemological status of the results of modeling and simulation as compared, and typically contrasted with, the results of experiment. She argues that no sharp distinction between simulating the world and measuring the world can be drawn in modern science, and that there is no justification for epistemically privileging the results of experiments over the new knowledge we derive from idealizations, abstractions, and fictional models. Learn more about your ad choices. Visit megaphone.fm/adchoicesSupport our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematics