PODCAST · science
New Books in Mathematics
by Marshall Poe
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 us on Instagram and Bluesky to learn about more our latest interviews: @newbooksnetwork Support our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematics
Episodes
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Xiaochang Li, "Divination Engines: Natural Language Processing, Artificial Intelligence, and the Making of Algorithmic Culture" (U Chicago Press, 2026)
Since the advent of computers, society has fantasized about conversing with machines. In Divination Engines: Natural Language Processing, Artificial Intelligence, and the Making of Algorithmic Culture (University of Chicago Press, 2026), Dr. Xiaochang Li shows readers how that dream both fueled…
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Richard Elwes, "Huge Numbers: A Story of Counting Ambitiously, from 4 1/2 to Fish 7" (Basic Books, 2026)
What if, every time you wanted to write down 1,000,000, you had to draw a picture of a god? And what if that number were the biggest you had a symbol for? If you were doing math in ancient Egypt, those were the rules: anything bigger broke math. As mathematician Richard Elwes shows in Huge...
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Drew M. Dalton, "The Matter of Evil: From Speculative Realism to Ethical Pessimism" (Northwestern UP, 2024)
Most of us today would assume that morality and ethics, being value propositions, are questions for inspired leaders, religious creeds, poets—in other words, for the humanities. But what if I told you that we can construct a system of ethics and morality by studying math—more specifically: the…
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Counter-Revolutionary Puzzles with Guillermo Badia
In this episode Pat speaks with Dr Guillermo Badia. Dr Guillermo Badia is a philosopher working in logic. His research interests are logic in computer science, semiring-based logics and models of computation, and modal, intuitionistic and other non-classical logics. They discuss logic, murder...
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Antony Valentini, "Beyond the Quantum: A Quest for the Origin and Hidden Meaning of Quantum Mechanics" (Oxford UP, 2026)
Based on decades of research, Beyond the Quantum: A Quest for the Origin and Hidden Meaning of Quantum Mechanics (Oxford UP, 2026) offers a panoramic rethink of quantum physics, with potentially revolutionary implications for cosmology, quantum gravity, and quantum technology. Properly…
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Raffaele Danna, "The Craft of Indo-Arabic Numerals: How Practical Arithmetic Shaped Commerce and Mathematics in Western Europe, 1200–1600" (Harvard UP, 2026)
In the thirteenth-century Mediterranean, commerce transformed as merchants shifted from Roman to Indo-Arabic numerals—an alternative that better facilitated complex calculations. It has long been known that this transition stemmed from Europe’s increasing exchanges with India, Persia, and the...
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Antonio Padilla, "Fantastic Numbers and Where to Find Them: A Cosmic Quest from Zero to Infinity" (FSG,2022)
A fun, dazzling exploration of the strange numbers that illuminate the ultimate nature of reality. For particularly brilliant theoretical physicists like James Clerk Maxwell, Paul Dirac, or Albert Einstein, the search for mathematical truths led to strange new understandings of the ultimate…
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Tom Griffiths, "The Laws of Thought: The Quest for a Mathematical Theory of the Mind" (Henry Holt and Co., 2026)
The Laws of Thought: The Quest for a Mathematical Theory of the Mind (Henry Holt and Co., 2026) is an exploration of the quest to use mathematics to describe the ways we think, from its origins three hundred years ago to the ideas behind modern AI systems and the ways in which they still differ...
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Giuseppe Longo and Adam Nocek, "The Organism Is a Theory: Giuseppe Longo on Biology, Mathematics, and AI" (U Minnesota Press, 2026)
A bold reimagining of life that bridges science, philosophy, cybernetics, and the complexities of biological existence The Organism Is a Theory: Giuseppe Longo on Biology, Mathematics, and AI (Giuseppe Longo and Adam Nocek, 2026) is an intriguing synthesis of decades of interdisciplinary…
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Jeremiah Joven Joaquin and James Franklin eds., "The Necessities Underlying Reality: Connecting Philosophy of Mathematics, Ethics and Probability" (Bloomsbury, 2025)
The Necessities Underlying Reality: Connecting Philosophy of Mathematics, Ethics and Probability (Bloomsbury, 2025) is an open access book that covers four decades of work by the leading Australian philosopher, mathematician and historian of ideas, James Franklin. These interlinking essays are...
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Andrew H. Jaffe, "The Random Universe: How Models and Probability Help Us Make Sense of the Cosmos" (Yale UP, 2025)
An award-winning astrophysicist looks at how the understanding of uncertainty and randomness has led to breakthroughs in our knowledge of the cosmos All of us understand the world around us by constructing models, comparing them to observations, and drawing conclusions. Scientists create, test…
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Thomas Morel, "Underground Mathematics: Craft Culture and Knowledge Production in Early Modern Europe" (Cambridge UP, 2022)
Thomas Morel joins Jana Byars to tell the story of subterranean geometry, a forgotten discipline that developed in the silver mines of early modern Europe, talking about his book Underground Mathematics: Craft Culture and Knowledge Production in Early Modern Europe (Cambridge UP, 2022). Mining…
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Al Posamentier, "Math Makers: The Lives and Works of 50 Famous Mathematicians" (Prometheus, 2020)
Today I talked to Alfred S. Posamentier, a co-author (with Christian Spreitzer) of Math Makers: The Lives and Works of 50 Famous Mathematicians (Prometheus, 2020). This charming book is more than just mathematics, because mathematicians are not just makers of mathematics. They are human beings...
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David Bressoud, "Calculus Reordered: A History of the Big Ideas" (Princeton UP, 2019)
Calculus Reordered: A History of the Big Ideas (Princeton UP, 2019) takes readers on a remarkable journey through hundreds of years to tell the story of how calculus evolved into the subject we know today. David Bressoud explains why calculus is credited to seventeenth-century figures Isaac…
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Chris Dalla Riva, "Uncharted Territory: What Numbers Tell Us about the Biggest Hit Songs and Ourselves" (Bloomsbury, 2025)
Popular music history collides with data analytics, charts, and numbers in this insightful and surprising look at the greatest hits and musicians, fads, forgotten artists, and much more. Data analyst and musician Chris Dalla Riva reframes everything you thought you knew about music. Did you know...
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Allen B. Downey, "Probably Overthinking It: How to Use Data to Answer Questions, Avoid Statistical Traps, and Make Better Decisions" (U Chicago Press, 2023)
Statistics are everywhere: in news reports, at the doctor's office, and in every sort of forecast, from the stock market to the weather. Blogger, teacher, and computer scientist Allen B. Downey knows well that people have an innate ability both to understand statistics and to be fooled by them.…
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Anthony Bonato, "Dots and Lines: Hidden Networks in Social Media, AI, and Nature" (Johns Hopkins UP, 2025)
Can networks unlock secrets of AI or make sense of a social media mess? A behind-the-scenes look at how networks reveal reality. According to mathematician Anthony Bonato, the hidden world of networks permeates our lives in astounding ways. From Bitcoin transactions to neural connections, Dots…
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George Musser, "Putting Ourselves Back in the Equation: Why Physicists Are Studying Human Consciousness and AI to Unravel the Mysteries of the Universe" (Picador, 2024)
A revelatory exploration of how a “theory of everything” depends upon our understanding of the human mind. The whole goal of physics is to explain what we observe. For centuries, physicists believed that observations yielded faithful representations of what is out there. But when they began to...
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Noah Giansiracusa, "Robin Hood Math: Take Control of the Algorithms That Run Your Life" (Penguin, 2025)
Everything we do today is recorded as data that’s sold to the highest bidder. Plugging our personal data into impersonal algorithms has made government agencies more efficient and tech companies more profitable. But all this comes at a price. It’s easy to feel like an insignificant number in a...
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Anil Ananthaswamy, "Why Machines Learn: The Elegant Maths Behind Modern AI" (Dutton, 2024)
Machine learning systems are making life-altering decisions for us: approving mortgage loans, determining whether a tumor is cancerous, or deciding if someone gets bail. They now influence developments and discoveries in chemistry, biology, and physics—the study of genomes, extrasolar planets…
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Robyn Arianrhod, "Vector: A Surprising Story of Space, Time, and Mathematical Transformation" (U of Chicago Press, 2024)
A celebration of the seemingly simple idea that allowed us to imagine the world in new dimensions--sparking both controversy and discovery. The stars of this book, vectors and tensors, are unlikely celebrities. If you ever took a physics course, the word "vector" might remind you of the…
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Chris Bernhardt, "Beautiful Math: The Surprisingly Simple Ideas behind the Digital Revolution in How We Live, Work, and Communicate" (MIT Press, 2024)
Most of us know something about the grand theories of physics that transformed our views of the universe at the start of the twentieth century: quantum mechanics and general relativity. But we are much less familiar with the brilliant theories that make up the backbone of the digital revolution.…
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Scientists Cooperate while Humanists Ruminate (EF, JP)
Back in 2021, John and Elizabeth sat down with Brandeis string theorist Albion Lawrence to discuss cooperation versus solitary study across disciplines. They sink their teeth into the question, “Why do scientists seem to do collaboration and teamwork better than other kinds of scholars and...
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Grace Lindsay, "Models of the Mind: How Physics, Engineering and Mathematics Have Shaped Our Understanding of the Brain" (Bloomsbury, 2021)
Models of the Mind: How Physics, Engineering and Mathematics Have Shaped Our Understanding of the Brain (Bloomsbury, 2021) provides a multifaceted and approachable introduction to theoretical neuroscience. It discusses some major topics of the field, including both the milestones from their…
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Karenleigh A. Overmann, "The Material Origin of Numbers: Insights from the Archaeology of the Ancient Near East" (Gorgias Press, 2024)
What are numbers, and where do they come from? Based on her groundbreaking study of material devices used for counting in the Ancient Near East, Karenleigh Overmann proposes a novel answer to these timeless questions. Tune in as we talk with Karenleigh Overmann about her book, The Material Origin...
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Luci Pangrazio and Neil Selwyn, "Critical Data Literacies: Rethinking Data and Everyday Life" (MIT Press, 2023)
Data has become a defining issue of current times. Our everyday lives are shaped by the data that is produced about us (and by us) through digital technologies. In Critical Data Literacies: Rethinking Data and Everyday Life (MIT Press, 2023), Luci Pangrazio and Neil Selwyn introduce readers to…
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Michael Gavin, "Literary Mathematics: Quantitative Theory for Textual Studies" (Stanford UP, 2022)
Across the humanities and social sciences, scholars increasingly use quantitative methods to study textual data. Considered together, this research represents an extraordinary event in the long history of textuality. More or less all at once, the corpus has emerged as a major genre of cultural…
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Brian Clegg, "Ten Patterns That Explain the Universe" (MIT Press, 2021)
Our universe might appear chaotic, but deep down it's simply a myriad of rules working independently to create patterns of action, force, and consequence. In Ten Patterns That Explain the Universe (MIT Press, 2021), Brian Clegg explores the phenomena that make up the very fabric of our world by...
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David J. Hand, "Dark Data: Why What You Don't Know Matters" (Princeton UP, 2020)
There is no shortage of books on the growing impact of data collection and analysis on our societies, our cultures, and our everyday lives. David Hand's new book Dark Data: Why What You Don't Know Matters (Princeton University Press, 2020) is unique in this genre for its focus on those data that...
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Ann Johnson and Johannes Lenhard, "Cultures of Prediction: How Engineering and Science Evolve with Mathematical Tools" (MIT Press, 2024)
A probing examination of the dynamic history of predictive methods and values in science and engineering that helps us better understand today's cultures of prediction. The ability to make reliable predictions based on robust and replicable methods is a defining feature of the scientific…
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Paulina Rowinska, "Mapmatics: How We Navigate the World Through Numbers" (Pan Macmillan, 2024)
How does a delivery driver distribute hundreds of packages in a single working day? Why does remote Alaska have such a large airport? Where should we look for elusive serial killers? The answers lie in the crucial connection between maps and maths. In Mapmatics: How We Navigate the World Through...
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David S. Richeson, "Tales of Impossibility: The 2000-Year Quest to Solve the Mathematical Problems of Antiquity" (Princeton UP, 2019)
David S. Richeson's book Tales of Impossibility: The 2000-Year Quest to Solve the Mathematical Problems of Antiquity (Princeton University Press, 2019) is the fascinating story of the 2000 year quest to solve four of the most perplexing problems of antiquity: squaring the circle, duplicating the...
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Thomas A. Garrity, "All the Math You Missed (But Need to Know for Graduate School)" (Cambridge UP, 2021)
Graduate students in many programs besides mathematics will need to be familiar with the methods and results of a variety of mathematical topics. Just as importantly, these students will need to develop a level of mathematical maturity—how to think in broad strokes about the subject, how to study...
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Kevin Lambert, "Symbols and Things: Material Mathematics in the Eighteenth and Nineteenth Centuries" (U Pittsburgh Press, 2021)
The stereotype of the solitary mathematician is widespread, but practicing users and producers of mathematics know well that our work depends heavily on our historical and contemporary fellow travelers. Yet we may not appreciate how our work also extends beyond us into our physical and societal...
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Ismar Volić, "Making Democracy Count: How Mathematics Improves Voting, Electoral Maps, and Representation" (Princeton UP, 2024)
What's the best way to determine what most voters want when multiple candidates are running? What's the fairest way to allocate legislative seats to different constituencies? What's the least distorted way to draw voting districts? Not the way we do things now. Democracy is mathematical to its…
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A Better Way to Buy Books
Bookshop.org is an online book retailer that donates more than 80% of its profits to independent bookstores. Launched in 2020, Bookshop.org has already raised more than $27,000,000. In this interview, Andy Hunter, founder and CEO discusses his journey to creating one of the most revolutionary new...
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Barbara Sattler, "The Concept of Motion in Ancient Greek Thought: Foundations in Logic, Method, and Mathematics" (Cambridge UP, 2020)
Barbara M. Sattler's book The Concept of Motion in Ancient Greek Thought: Foundations in Logic, Method, and Mathematics (Cambridge UP, 2020) examines the birth of the scientific understanding of motion. It investigates which logical tools and methodological principles had to be in place to give a...
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Lawrence Goldman, "Victorians and Numbers: Statistics and Society in Nineteenth Century Britain" (Oxford UP, 2022)
A defining feature of nineteenth-century Britain was its fascination with statistics. The processes that made Victorian society, including the growth of population, the development of industry and commerce, and the increasing competence of the state, generated profuse numerical data. Victorians…
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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...
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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...
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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...
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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…
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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...
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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...
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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...
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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...
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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...
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Probability
In this episode of High Theory, Justin Joque talks with Júlia Irion Martins about Probability. This conversation is part of our High Theory in STEM series, which tackles topics in science, technology, engineering, and medicine from a highly theoretical perspective. If you want to learn more about...
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Alexandr Draganov, "Mathematical Tools for Real-World Applications: A Gentle Introduction for Students and Practitioners" (MIT Press, 2022)
I’ve never read a book like Mathematical Tools for Real-World Applications: A Gentle Introduction for Students and Practitioners (MIT Press, 2022) – it’s a book about how engineers and scientists see math, and I found it fascinating. What intrigued me about this book was not that it just presents...
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Andrew Fiss, "Performing Math: A History of Communication and Anxiety in the American Mathematics Classroom" (Rutgers UP, 2020)
Performing Math: A History of Communication and Anxiety in the American Mathematics Classroom (Rutgers University Press, 2020) by Dr. Andrew Fiss tells the history of expectations for math communication—and the conversations about math hatred and math anxiety that occurred in response. Focusing…
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ABOUT THIS SHOW
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 us on Instagram and Bluesky to learn about more our latest interviews: @newbooksnetwork
Support our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematics
HOSTED BY
Marshall Poe
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Frequently Asked Questions
How many episodes does New Books in Mathematics have?
New Books in Mathematics currently has 175 episodes available on PodParley. New episodes are automatically indexed when they're published to the podcast feed.
What is New Books in Mathematics about?
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...
How often does New Books in Mathematics release new episodes?
New Books in Mathematics publishes regularly with 175 episodes available. Check the episode list for the typical release schedule.
Where can I listen to New Books in Mathematics?
You can listen to New Books in Mathematics on PodParley by clicking any episode. We provide an embedded audio player for direct listening, and you can also subscribe via your preferred podcast app using the RSS feed.
Who hosts New Books in Mathematics?
New Books in Mathematics is created and hosted by Marshall Poe.
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