New Books in Mathematics

Marshall Poe

50 episodes listed below

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Mathematics, patiently placed in context.

The gist

New Books in Mathematics is a book-centered interview show about the many places mathematics appears: cosmology, cognition, biology, craft culture, probability, and formal thought. The conversations move patiently, letting authors explain technical arguments without sanding off their difficulty.

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About New Books in Mathematics

New Books in Mathematics is a patient, bookish interview feed for listeners who want mathematics placed back into the world around it. The show begins with books, but it rarely stays confined to publication summaries. A conversation about Antonio Padilla's Fantastic Numbers and Where to Find Them can stretch from zero and infinity toward cosmic scale, inflation, and the question of whether mathematics finally belongs to the universe or exceeds it. Tom Griffiths's The Laws of Thought leads into another kind of abstraction: whether human thinking can be described by formal mathematical principles. That episode links cognitive science, modern AI, geometry, language, and the long ambition to give thought a mathematical shape. Andrew Jaffe's The Random Universe brings probability and models into cosmology, with attention to Bayesian statistical techniques and the interpretation of data about the universe as a whole. Other episodes widen the archive. Thomas Maran's work on underground mathematics connects craft culture with early modern knowledge production. Al Plazimentier's Math Makers uses biography to show mathematicians as people whose lives can be tangled with historical events as much as with equations. David Bressoud's Calculus Reordered frames mathematics as a search for deep structures and rules that reveal themselves through inquiry. The show has an academic spine, but it is not sealed off from lay curiosity. Questions tend to summarize a book's argument and then ask the author to clarify, extend, or ground it. Answers can run long. That is part of the appeal. The format trusts listeners to follow sustained explanation, while still giving them enough context to enter unfamiliar fields. It is especially strong when a technical idea is treated as a historical artifact, a philosophical pressure point, and a practical tool all at once. The result is a mathematics show less interested in speed than in orientation: what the idea is, where it came from, and why a serious reader might want to sit with it.

Made for: For serious readers, lifelong learners, and mathematically curious generalists who enjoy author interviews with scholarly texture. It also suits students and educators looking for conceptual bridges between mathematics, history, philosophy, science, and cognition.

What sets it apart: Rather than presenting math as puzzles or quick lessons, the show follows recent books into the intellectual histories and live questions behind the field. Its strength is letting authors explain difficult ideas at length while keeping the conversation accessible enough for non-specialists.

In their own words

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

As heard by us

Based on 5 episodes we listened to · September 2026

Book-centered conversations make advanced mathematics and its connections to history, cognition, and the universe easier to follow.

New Books in Mathematics turns books into patient academic interviews about how mathematical ideas work and where they lead. Its range stretches from induction and different kinds of infinity to Victorian statistics, cosmic scale, and mathematical models of cognition.

Read our full review in PlayNext →

Why you'd press play

Mathematical induction becomes a stepladder, and your old math-class grudge has somewhere to go.

Press play if you want

  • to hear a proof of infinitely many cases explained with a stepladder instead of a wall of symbols
  • to follow how Victorian data gatherers helped Marx analyze industrial capitalism
Read the full recommendation in PlayNext →
mathematics and cosmologyprobability and modelscognitive science and AIphilosophy of mathematicshistory of calculusmathematician biographiesearly modern knowledge productiongeometry and language

Talks about

Best episodes of New Books in Mathematics

Short reviews from the PlayNext desk, based on the episodes we processed.

Antonio Padilla, "Fantastic Numbers and Where to Find Them: A Cosmic Quest from Zero to Infinity" (FSG,2022)Feb 15, 2026

Giant numbers, cosmic scale, and a careful question about what mathematics can really explain.

Antonio Padilla's Fantastic Numbers and Where to Find Them moves from huge numbers to a quieter question: whether mathematics describes the universe or sits beside it.

Tom Griffiths, "The Laws of Thought: The Quest for a Mathematical Theory of the Mind" (Henry Holt and Co., 2026)Feb 4, 2026

A careful conversation about whether mathematics can help explain the mind.

The episode takes on a serious question: whether human thinking can be described through formal mathematical principles, and which frameworks fit the mind best.

Lawrence Goldman, "Victorians and Numbers: Statistics and Society in Nineteenth Century Britain" (Oxford UP, 2022)Aug 25, 2023

A careful interview that makes Victorian statistics feel clear without rushing the argument.

Victorian Britain comes into focus as a world learning to think with numbers: factories, government records, political economy, and the uneasy sense that data could describe more than it could explain.

Milo Beckman, "Math Without Numbers" (Dutton, 2020)Aug 17, 2023

A patient tour of infinity, maps, and the hidden logic of everyday structure.

Milo Beckman, author of Math Without Numbers, treats mathematics less like a set of tricks and more like a way of sorting what can be known. The conversation moves from countable infinity to the continuum, then to maps, calendars, and heat maps, without losing the ground under…

James D. Stein, "Seduced by Mathematics: The Enduring Fascination of Mathematics" (World Scientific, 2022) MathDec 19, 2022

A focused conversation on Jim Stein's Seduced by Mathematics and the appeal of mathematical induction.

New Books in Math stays close to Jim Stein and Seduced by Mathematics, which gives the episode a clear center. Caleb Zacharin lets Stein unpack the title, the book’s setup, and the childhood question about proving a pattern of sums that first pushed him toward proof.

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Episodes

  1. 1

    Antonio Padilla, "Fantastic Numbers and Where to Find Them: A Cosmic Quest from Zero to Infinity" (FSG,2022)

    Hidden gem

    Antonio Padilla discusses Fantastic Numbers and Where to Find Them.

    Feb 15, 2026·1h 6m·4 clips
  2. 2

    Tom Griffiths, "The Laws of Thought: The Quest for a Mathematical Theory of the Mind" (Henry Holt and Co., 2026)

    Hidden gem

    Gregory McNiff speaks with Tom Griffiths about The Law of Thought and the long-running effort to understand the mind through mathematics.

    Feb 4, 2026·1h 9m·4 clips
  3. 3

    Giuseppe Longo and Adam Nocek, "The Organism Is a Theory: Giuseppe Longo on Biology, Mathematics, and AI" (U Minnesota Press, 2026)

    This episode features an interview with Giuseppe Longo and Adam Nocek about their book exploring the intersection of biology, mathematics, and artificial intelligence through the concept of organisms as theoretical constructs.

    Jan 20, 2026·1h 14m
  4. 4

    Jeremiah Joven Joaquin and James Franklin eds., "The Necessities Underlying Reality: Connecting Philosophy of Mathematics, Ethics and Probability" (Bloomsbury, 2025)

    This episode features an interview with James Franklin about his book 'The Necessities Underlying Reality: Connecting Philosophy of Mathematics, Ethics and Probability'.

    Dec 24, 2025·55m
  5. 5

    Andrew H. Jaffe, "The Random Universe: How Models and Probability Help Us Make Sense of the Cosmos" (Yale UP, 2025)

    This episode features an interview with cosmologist Andrew Jaffe about his book 'The Random Universe,' exploring how probability and statistical models help us understand the cosmos.

    Nov 25, 2025·1h 29m
  6. 6

    Thomas Morel, "Underground Mathematics: Craft Culture and Knowledge Production in Early Modern Europe" (Cambridge UP, 2022)

    An interview with Thomas Maran about his book 'Underground Mathematics' on craft and knowledge production in early modern Europe.

    Nov 21, 2025·46m
  7. 7

    Al Posamentier, "Math Makers: The Lives and Works of 50 Famous Mathematicians" (Prometheus, 2020)

    This episode features an interview with Al Plazimentier about his book 'Mathmakers', which profiles 50 famous mathematicians with engaging anecdotes and historical context.

    Nov 9, 2025·57m
  8. 8

    David Bressoud, "Calculus Reordered: A History of the Big Ideas" (Princeton UP, 2019)

    A scholar discusses the nature of mathematics as the study of deep patterns and structures in the universe, comparing it to a game of discovering rules.

    Oct 19, 2025·1h 27m
  9. 9

    Chris Dalla Riva, "Uncharted Territory: What Numbers Tell Us about the Biggest Hit Songs and Ourselves" (Bloomsbury, 2025)

    An interview with Chris D'Arriva about his book on what numbers reveal about hit songs and ourselves.

    Oct 11, 2025·1h 10m
  10. 10

    Allen B. Downey, "Probably Overthinking It: How to Use Data to Answer Questions, Avoid Statistical Traps, and Make Better Decisions" (U Chicago Press, 2023)

    This episode features an interview with Alan Downey about his book 'Probably Overthinking It', which explores how statistics and data can be used to answer questions, avoid common pitfalls, and improve decision-making in everyday life.

    Oct 10, 2025·1h 3m
  11. 11

    Anthony Bonato, "Dots and Lines: Hidden Networks in Social Media, AI, and Nature" (Johns Hopkins UP, 2025)

    An interview with mathematician Anthony Buonato about his book on hidden networks in social media, AI, and nature.

    Sep 3, 2025·1h 6m
  12. 12

    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)

    Aug 27, 2025·1h 2m
  13. 13

    Noah Giansiracusa, "Robin Hood Math: Take Control of the Algorithms That Run Your Life" (Penguin, 2025)

    Aug 20, 2025·1h 2m
  14. 14

    Anil Ananthaswamy, "Why Machines Learn: The Elegant Maths Behind Modern AI" (Dutton, 2024)

    Jul 30, 2025·1h 7m
  15. 15

    Robyn Arianrhod, "Vector: A Surprising Story of Space, Time, and Mathematical Transformation" (U of Chicago Press, 2024)

    Jul 25, 2025·1h 8m
  16. 16

    Chris Bernhardt, "Beautiful Math: The Surprisingly Simple Ideas behind the Digital Revolution in How We Live, Work, and Communicate" (MIT Press, 2024)

    Jul 14, 2025·49m
  17. 17

    Scientists Cooperate while Humanists Ruminate (EF, JP)

    Apr 17, 2025·40m
  18. 18

    Grace Lindsay, "Models of the Mind: How Physics, Engineering and Mathematics Have Shaped Our Understanding of the Brain" (Bloomsbury, 2021)

    Mar 20, 2025·50m
  19. 19

    Karenleigh A. Overmann, "The Material Origin of Numbers: Insights from the Archaeology of the Ancient Near East" (Gorgias Press, 2024)

    Jan 28, 2025·11m
  20. 20

    Luci Pangrazio and Neil Selwyn, "Critical Data Literacies: Rethinking Data and Everyday Life" (MIT Press, 2023)

    Dec 19, 2024·38m
  21. 21

    Michael Gavin, "Literary Mathematics: Quantitative Theory for Textual Studies" (Stanford UP, 2022)

    Sep 9, 2024·53m
  22. 22

    Al Posamentier and Christian Speitzer, “The Mathematics of Everyday Life” (Prometheus Books, 2018)

    Sep 8, 2024·52m
  23. 23

    Brian Clegg, "Ten Patterns That Explain the Universe" (MIT Press, 2021)

    This episode is an interview with a scholar discussing their recently published mathematics research.

    Sep 2, 2024·50m
  24. 24

    David J. Hand, "Dark Data: Why What You Don't Know Matters" (Princeton UP, 2020)

    This episode is a survey request and introduction to the New Books Network, which features interviews with scholars about their recently published research.

    Jul 8, 2024·1h 18m
  25. 25

    Ann Johnson and Johannes Lenhard, "Cultures of Prediction: How Engineering and Science Evolve with Mathematical Tools" (MIT Press, 2024)

    An interview with authors Ann Johnson and Johannes Lenhard about their book 'Cultures of Prediction: How Engineering and Science Evolve with Mathematical Tools' exploring the intersection of prediction, mathematical tools, and disciplinary evolution.

    Jun 24, 2024·1h 2m
  26. 26

    Paulina Rowinska, "Mapmatics: How We Navigate the World Through Numbers" (Pan Macmillan, 2024)

    An interview with Dr.

    Jun 19, 2024·57m
  27. 27

    David S. Richeson, "Tales of Impossibility: The 2000-Year Quest to Solve the Mathematical Problems of Antiquity" (Princeton UP, 2019)

    An interview with mathematician Dave Richeson about his book on the history of four impossible geometry problems.

    May 28, 2024·54m
  28. 28

    Thomas A. Garrity, "All the Math You Missed (But Need to Know for Graduate School)" (Cambridge UP, 2021)

    May 10, 2024·51m
  29. 29

    Kevin Lambert, "Symbols and Things: Material Mathematics in the Eighteenth and Nineteenth Centuries" (U Pittsburgh Press, 2021)

    Apr 15, 2024·1h 20m
  30. 30

    Ismar Volić, "Making Democracy Count: How Mathematics Improves Voting, Electoral Maps, and Representation" (Princeton UP, 2024)

    Feb 1, 2024·40m
  31. 31

    A Better Way to Buy Books

    An interview with a scholar discussing their recently published mathematical research.

    Sep 12, 2023·33m
  32. 32

    Barbara Sattler, "The Concept of Motion in Ancient Greek Thought: Foundations in Logic, Method, and Mathematics" (Cambridge UP, 2020)

    An academic interview podcast where scholars discuss their recently published research in mathematics.

    Aug 28, 2023·1h 13m
  33. 33

    Lawrence Goldman, "Victorians and Numbers: Statistics and Society in Nineteenth Century Britain" (Oxford UP, 2022)

    Hidden gem

    Morteza Hajizadeh talks with Lawrence Goldman about nineteenth-century Britain and the rise of statistical thinking.

    Aug 25, 2023·1h 32m·2 clips
  34. 34

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

    Hidden gem

    Jim Stein talks with Milo Beckman about Math Without Numbers.

    Aug 17, 2023·56m·3 clips
  35. 35

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

    Jul 31, 2023·17m
  36. 36

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

    An interview with Professor Athene Donald about her recently published research in mathematics.

    Jun 7, 2023·37m
  37. 37

    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)

    Scholars discuss their recently published mathematics research with another expert in the field.

    Apr 19, 2023·54m
  38. 38

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

    An interview with Dr.

    Apr 16, 2023·56m
  39. 39

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

    Apr 15, 2023·21m
  40. 40

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

    An interview with economists Andrea Robette and Jeff Carpenter about their recent research in game theory and behavioral economics.

    Jan 14, 2023·24m
  41. 41

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

    Hidden gem

    Jim Stein joins Caleb Zacharin to talk about *Seduced by Mathematics* and the book's subtitle, *The Enduring Fascination of Mathematics*.

    Dec 19, 2022·1h 26m·2 clips
  42. 42

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

    This episode features an interview with mathematician John Allen Paulos discussing his book 'Who's Counting?' which explores numeracy through stories from pop culture, puzzles, and politics.

    Dec 18, 2022·58m
  43. 43

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

    Host Jim Stein interviews mathematician Al Pazimentier about his book 'The Secret Lives of Numbers' on the New Books in Mathematics podcast.

    Nov 23, 2022·54m
  44. 44

    Probability

    Nov 22, 2022·18m
  45. 45

    Alexandr Draganov, "Mathematical Tools for Real-World Applications: A Gentle Introduction for Students and Practitioners" (MIT Press, 2022)

    Host Jim Stein interviews Alexander Draganov about his book on mathematical tools for real-world applications, exploring how engineers and scientists approach math differently from mathematicians.

    Nov 11, 2022·54m
  46. 46

    Andrew Fiss, "Performing Math: A History of Communication and Anxiety in the American Mathematics Classroom" (Rutgers UP, 2020)

    An interview with Dr.

    Nov 9, 2022·44m
  47. 47

    David Kaiser, "Well, Doc, You're In: Freeman Dyson’s Journey through the Universe" (MIT Press, 2022)

    An interview with a scholar discussing their recently published mathematics research.

    Nov 2, 2022·1h 9m
  48. 48

    John Stillwell, "The Story of Proof: Logic and the History of Mathematics" (Princeton UP, 2022)

    Host Jim Stein interviews John Stilwell about his book 'The Story of Proof', tracing the evolution of proof in mathematics.

    Oct 31, 2022·57m
  49. 49

    Alberto Cairo, "How Charts Lie: Getting Smarter about Visual Information" (Norton, 2019)

    Sep 23, 2022·58m
  50. 50

    Karen Hunger Parshall, "The New Era in American Mathematics, 1920–1950" (Princeton UP, 2022)

    This episode features an interview with Karen Hunger Parshall about her book on the development of American mathematics from 1920 to 1950.

    Sep 12, 2022·1h 9m