Description
Book SynopsisThe aim of this book is to explain, carefully but not technically, the differences between advanced, research-level mathematics, and the sort of mathematics we learn at school. The most fundamental differences are philosophical, and readers of this book will emerge with a clearer understanding of paradoxical-sounding concepts such as infinity, curved space, and imaginary numbers. The first few chapters are about general aspects of mathematical thought. These are followed by discussions of more specific topics, and the book closes with a chapter answering common sociological questions about the mathematical community (such as Is it true that mathematicians burn out at the age of 25?)ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
Trade Reviewa marvellously lucid guide to the beauty and mystery of numbers * Gilbert Adair *
Table of Contents1. Models ; 2. Numbers and Abstraction ; 3. Proofs ; 4. Limits and Infinity ; 5. Dimension ; 6. Geometry ; 7. Estimates and Approximates ; 8. Frequently Asked Questions
