New Books in Mathematics

Marshall Poe
undefined
Aug 17, 2023 • 56min

Milo Beckman, "Math Without Numbers" (Dutton, 2020)

One of the questions I am often asked is exactly what do mathematicians do. The short answer is that they look at different mathematical structures, try to deduce their properties, and think about how they might apply to the real world. Math Without Numbers (Dutton, 2020) does a wonderful job of explaining what mathematical structures are, and does so in a fashion that even readers who are uncomfortable with the process of doing mathematics can appreciate and enjoy. There are courses in music and art appreciation, and if there ever are courses in math appreciation, this book would certainly be at or near the top of the reading list. Learn more about your ad choices. Visit megaphone.fm/adchoicesSupport our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematics
undefined
Jul 31, 2023 • 17min

The Outer Limits of Reason: What Science, Mathematics, and Logic Cannot Tell Us

Many books explain what is known about the universe. This book investigates what cannot be known. Rather than exploring the amazing facts that science, mathematics, and reason have revealed to us, this work studies what science, mathematics, and reason tell us cannot be revealed. In The Outer Limits of Reason, Noson Yanofsky considers what cannot be predicted, described, or known, and what will never be understood. He discusses the limitations of computers, physics, logic, and our own thought processes.Yanofsky describes simple tasks that would take computers trillions of centuries to complete and other problems that computers can never solve; perfectly formed English sentences that make no sense; different levels of infinity; the bizarre world of the quantum; the relevance of relativity theory; the causes of chaos theory; math problems that cannot be solved by normal means; and statements that are true but cannot be proven. He explains the limitations of our intuitions about the world—our ideas about space, time, and motion, and the complex relationship between the knower and the known.Moving from the concrete to the abstract, from problems of everyday language to straightforward philosophical questions to the formalities of physics and mathematics, Yanofsky demonstrates a myriad of unsolvable problems and paradoxes. Exploring the various limitations of our knowledge, he shows that many of these limitations have a similar pattern and that by investigating these patterns, we can better understand the structure and limitations of reason itself. Yanofsky even attempts to look beyond the borders of reason to see what, if anything, is out there.Noson S. Yanofsky is Professor in the Department of Computer and Information Science at Brooklyn College and The Graduate Center of the City University of New York. He is a coauthor of Quantum Computing for Computer Scientists. Learn more about your ad choices. Visit megaphone.fm/adchoicesSupport our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematics
undefined
Jun 7, 2023 • 37min

Athene Donald, "Not Just for the Boys: Why We Need More Women in Science" (Oxford UP, 2023)

Why are girls discouraged from doing science? Why do so many promising women leave science in early and mid-career? Why do women not prosper in the scientific workforce?Not Just for the Boys: Why We Need More Women in Science (Oxford UP, 2023) looks back at how society has historically excluded women from the scientific sphere and discourse, what progress has been made, and how more is still needed. Athene Donald, herself a distinguished physicist, explores societal expectations during both childhood and working life using evidence of the systemic disadvantages women operate under, from the developing science of how our brains are―and more importantly aren't―gendered, to social science evidence around attitudes towards girls and women doing science.It also discusses how science is done in practice, in order to dispel common myths: for example, the perception that science is not creative, or that it is carried out by a lone genius in an ivory tower, myths that can be very off-putting to many sections of the population. A better appreciation of the collaborative, creative, and multi-disciplinary nature of science is likely to lead to its appeal to a far wider swathe of people, especially women. This book examines the modern way of working in scientific research, and how gender bias operates in various ways within it, drawing on the voices of leading women in science describing their feelings and experiences. It argues the moral and business case for greater diversity in modern research, the better to improve science and tackle the great challenges we face today.Athene Donald is Professor Emerita in Experimental Physics and Master of Churchill College, University of Cambridge. Other than four years postdoctoral research in the USA, she has spent her career in Cambridge, specializing in soft matter physics and physics at the interface with biology. She was the University of Cambridge's first Gender Equality Champion, and has been involved in numerous initiatives concerning women in science. She was elected Fellow of the Royal Society in 1999 and appointed DBE for services to Physics in 2010.Morteza Hajizadeh is a Ph.D. graduate in English from the University of Auckland in New Zealand. His research interests are Cultural Studies; Critical Theory; Environmental History; Medieval (Intellectual) History; Gothic Studies; 18th and 19th Century British Literature. YouTube channel. Learn more about your ad choices. Visit megaphone.fm/adchoicesSupport our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematics
undefined
Apr 19, 2023 • 54min

Justin L. Bergner, "Solving the Price Is Right: How Mathematics Can Improve Your Decisions On and Off the Set of America's Celebrated Game Show" (Prometheus Books, 2023)

The Price is Right is television's longest-running game show. Since its inception in 1956, contestants have won cars, tropical vacations, diamond jewelry, even a live horse, and the hosts' excited catchphrase "come on down!" has become part of our everyday vernacular. Part of the program's enduring appeal is the apparent ease of the game, guessing the cash value of certain prizes. But, if that's the case, then why do so many contestants come away from the show empty-handed? Solving The Price is Right (Prometheus Books, 2023) is an in-depth exploration of the underlying probability theory of the popular television program that explores how biases and behavioral pitfalls limit our ability to successfully apply logic and math both on and off the show. With rigorous data and analysis compiled from Seasons 47 and 48 (356 total episodes), investor and math practitioner Justin L. Bergner draws strategic and mathematical insights from all facets of the show, from Contestant's Row bidding to the Showcase Showdown, and all 77 Pricing Games, using a combination of game theory, probability theory, statistics, and pattern recognition. In each section, Bergner summarizes contestant performance, highlights the biases leading to sub-par outcomes, and shows how outcomes can be improved by executing the right strategies while avoiding cognitive biases. Throughout, Bergner applies the lessons learned to the fields of business, finance, and our real lives, shedding light on themes of reverse psychology, strategic patience, and the importance of establishing what is sufficient for success in our pursuits. The result is a truly unique and meticulously researched book that uses Solving The Price is Right as a lens to examine our own choices - and how to make better ones. Learn more about your ad choices. Visit megaphone.fm/adchoicesSupport our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematics
undefined
Apr 16, 2023 • 57min

Shelly M. Jones, "Women Who Count: Honoring African American Women Mathematicians" (American Mathematical Society, 2019)

African-Americans and women are increasingly visible in professional mathematical institutions, organizations, and literature, expanding our mental models of the mathematics community. Yet early representation also matters: We begin building these models as soon as we begin seeing and doing mathematics, and they can be slow to adapt. In her wonderful activity book Women Who Count: Honoring African American Women Mathematicians (MAA Press, 2019), Dr. Shelly Jones invites children, and their parents and educators, to immerse themselves in the lives and deeds of Black women mathematicians.The 29 profiles trace back to "the Firsts" in their fields, such as early PhD awardee Evelyn Boyd Granville; the "Pioneers" of emerging fields and programs, including ethnomathematics co-founder Gloria Gilmer; through "Unhidden Figures" like Dorothy Johnson Vaughan of recent biopic fame; and to "Contemporary Firsts" who are living, working, and opening new doors today. Along with their mathematical contributions, Dr. Jones shares details of these mathematicians' early lives, their hobbies and interests, and how they have been shaped by and in turn shaped their communities. Each mini-biography introduces a whole person whom readers new to mathematics can relate to and be inspired by.Each profile is accompanied by a pencil-and-paper activity that brings to life the some part of their story. Some are classics, including word searches and I-Spy, while others introduce readers to mathematical and educational concepts explored by their subjects—coloring tessellations, for example, or solving equations to decode messages. The text and activities are targeted to grades 3–8, and are ideal for elementary and middle school classrooms.In our conversation, Dr. Jones described how she conceived the book, assembled the stories and activities, and connected with illustrator Veronica Martins. I came away with a richer perspective on the state of the field for aspiring mathematicians—in addition to a perfect gift for my second-grade nephew.Suggested companion works: Mathematicians of the African Diaspora Mathematically Gifted and Black Mathematician Project Lathisms We are Indigenous Mathematicians Black Girl MATHgic Talitha Washington Dr. Shelly M. Jones is a Professor of Mathematics Education at Central Connecticut State University. She has been an educator for 30 years and currently teaches undergraduate mathematics content and methods courses for pre-service teachers as well as graduate level mathematics content, curriculum and STEM courses for in-service teachers. Dr. Jones serves her community by working with various professional and community organizations. You can see her CCSU TEDx talk on YouTube where she talks about culturally relevant mathematics. She is also a contributing author to The Brilliance of Black Children in Mathematics: Beyond the Numbers and Toward a New Discourse and co-author of Engaging in Culturally Relevant Math Tasks: Fostering Hope. Learn more about your ad choices. Visit megaphone.fm/adchoicesSupport our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematics
undefined
Apr 15, 2023 • 21min

Alice and Bob Meet the Wall of Fire and A Prime Number Conspiracy

On this episode of the MIT Press podcast, Thomas Lin, Editor-in-Chief of Quanta Magazine, discusses the research and current climate behind the science and math in Alice and Bob Meet the Wall of Fire: The Biggest Ideas in Science from Quanta and The Prime Number Conspiracy: The Biggest Ideas in Math from Quanta.  Learn more about your ad choices. Visit megaphone.fm/adchoicesSupport our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematics
undefined
Jan 14, 2023 • 24min

Jeffrey Carpenter and Andrea Robbett, "Game Theory and Behavior" (MIT Press, 2022)

Jeffrey Carpenter and Andrea Robbett's book Game Theory and Behavior (MIT Press, 2022) is an introduction to game theory that offers not only theoretical tools but also the intuition and behavioral insights to apply these tools to real-world situations. This introductory text on game theory provides students with both the theoretical tools to analyze situations through the logic of game theory and the intuition and behavioral insights to apply these tools to real-world situations. It is unique among game theory texts in offering a clear, formal introduction to standard game theory while incorporating evidence from experimental data and introducing recent behavioral models. Students will not only learn about incentives, how to represent situations as games, and what agents “should” do in these situations, but they will also be presented with evidence that either confirms the theoretical assumptions or suggests a way in which the theory might be updated.Jeffrey Carpenter is the James Jermain Professor of Political Economy at Middlebury College. His research interests include Experimental and Behavioral Economics with applications to Labor, Public and Development Economics. While pursuing these interests he has conducted lab and field experiments in North America, South America, Europe and Asia.Andrea Robbett is an Associate Professor of Economics at Middlebury College. Her research uses laboratory experiments to test canonical theoretical models, new ideas, and conventional wisdom. Her work has addressed topics in public economics, labor, voting, information avoidance, financial decision-making and "attribute overload," trust and cooperation, and auctions.Peter Lorentzen is economics professor at the University of San Francisco. He heads USF's Applied Economics Master's program, which focuses on the digital economy. His research is mainly on China's political economy. Learn more about your ad choices. Visit megaphone.fm/adchoicesSupport our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematics
undefined
Dec 19, 2022 • 1h 27min

James D. Stein, "Seduced by Mathematics: The Enduring Fascination of Mathematics" (World Scientific, 2022) Math

Seduction is not just an end result, but a process -- and in mathematics, both the end results and the process by which those end results are achieved are often charming and elegant.This helps to explain why so many people -- not just those for whom math plays a key role in their day-to-day lives -- have found mathematics so seductive. Math is unique among all subjects in that it contains end results of amazing insight and power, and lines of reasoning that are clever, charming, and elegant. James D. Stein's Seduced by Mathematics: The Enduring Fascination of Mathematics (World Scientific, 2022) is a collection of those results and lines of reasoning that make us say, 'OMG, that's just amazing, ' -- because that's what mathematics is to those who love it. In addition, some of the stories about mathematical discoveries and the people who discovered them are every bit as fascinating as the discoveries themselves.Seduced by Mathematics contains material capable of being appreciated by students in elementary school -- as well as some material that will probably be new to even the more mathematically sophisticated. Most of the book can be easily understood by those whose only math courses are algebra and geometry, and who may have missed the magic, enchantment, and wonder that is the special province of mathematics.James D. Stein is a professor emeritus of mathematics at Cal State Long Beach.Caleb Zakarin is the Assistant Editor of the New Books Network (Twitter: @caleb_zakarin). Learn more about your ad choices. Visit megaphone.fm/adchoicesSupport our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematics
undefined
Dec 18, 2022 • 59min

John Allen Paulos, "Who's Counting?: Uniting Numbers and Narratives with Stories from Pop Culture, Puzzles, Politics, and More" (Prometheus, 2022)

Innumeracy, by John Allen Paulos, was first published in 1988. In it the author brilliantly highlighted many of the sorry truths those of us who teach math and science know – not only can’t most people do algebra or geometry, they can’t estimate size, they don’t understand simple probability and statistics, and they believe in things that make no sense. In Who’s Counting? (Prometheus, 2022), Paulos investigates topics which – like Innumeracy – connect with the age in which we live.Who's Counting? features dozens of his insightful essays-original writings on contemporary issues like the COVID-19 pandemic, online conspiracy theories, "fake news," and climate change, as well as a selection of enduring columns from his popular ABC News column of the same name. With an abiding respect for reason, a penchant for puzzles with societal implications, and a disarming sense of humor, Paulos does in this collection what he's famous for: clarifies mathematical ideas for everyone and shows how they play a role in government, media, popular culture, and life. He argues that if we can't critically interpret numbers and statistics, we lose one of our most basic and reliable guides to reality. Learn more about your ad choices. Visit megaphone.fm/adchoicesSupport our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematics
undefined
Nov 23, 2022 • 55min

Alfred S. Posamentier, "The Secret Lives of Numbers: Numerals and Their Peculiarities in Mathematics and Beyond" (Prometheus Books, 2022)

Alfred S. Posamentier's The Secret Lives of Numbers: Numerals and Their Peculiarities in Mathematics and Beyond (Prometheus Books, 2022) is the first book I’ve ever seen written by a mathematician that will absolutely, definitely, certainly appeal to people who love numbers and who don’t love mathematics. I would urge all listeners to tell everyone they know who has a fascination with numbers to listen to this podcast, especially if they don’t love mathematics because they will definitely love this book. Hopefully the love of numbers will translate into an appreciation of mathematics -- if not for them, then for their children. Learn more about your ad choices. Visit megaphone.fm/adchoicesSupport our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematics

The AI-powered Podcast Player

Save insights by tapping your headphones, chat with episodes, discover the best highlights - and more!
App store bannerPlay store banner
Get the app