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Full Description
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 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.
Contents
Author Bios List of Figures Acknowledgments Introduction Chapter 1 Irrationality Chapter 2 Generating functions Chapter 3 Polynomial systems Chapter 4 Transfinite induction Chapter 5 The Brownian zoo Chapter 6 Approximation by polynomials Chapter 7 Public-key cryptography Chapter 8 Asymptotic analysis Chapter 9 Fractional dimension Chapter 10 Ultrafilters Chapter 11 Scissors congruence Chapter 12 Brownian safari Index of Topics Index of Names
