TY - GEN AU - Pemantle, Robin. AU - Gould, Julian Joseph. TI - I wish they'd taught me that: Overlooked and omitted topics in mathematics T2 - AK Peters / CRC Recreational Mathematics Series SN - 9781032870342 AV - QA39.3 .P463 2026 PY - 2026/// CY - Boca Raton, Fl. PB - CRC Press KW - Mathematics N1 - Includes bibliographical references and index; 1. Irrationality -- 2. Generating functions -- 3. Polynomial systems -- 4. Transfinite induction -- 5. The Brownian zoo -- 6. Approximation by polynomials -- 7. Public-key cryptography -- 8. Asymptotic analysis -- 9. Fractional dimension -- 10. Ultrafilters -- 11. Scissors congruence -- 12. Brownian safari -- Index of Topics -- Index of Names N2 - I Wish They'd Taught Me That: Overlooked and Omitted Topics in Mathematics concerns the topics which every undergraduate mathematics student "should" know but has probably never encountered. These topics are not the ones which dominate every syllabus, but those magnificent secrets that are beautiful, useful and accessible but which are inexplicably hidden away from the mainstream curriculum. Each chapter of this book concerns a different topic which students will almost certainly be unfamiliar with. Written in a lively, conversational style, by the end of each section the reader should feel equipped with the knowledge to explore the area more fully elsewhere. Features: Topics from a variety of areas of mathematics, including geometry, logic, analysis, algebra, numerical analysis, and topology; Numerous examples, diagrams, and exercises; Collections of resources where an interested reader can learn more about each topic; Nontechnical introductions to each chapter ER -