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.