
The 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?") It is the ideal introduction for anyone who wishes to deepen their understanding of mathematics.About the Series: Combining authority with wit, accessibility, and style, Very Short Introductions offer an introduction to some of life's most interesting topics. Written by experts for the newcomer, they demonstrate the finest contemporary thinking about the central problems and issues in hundreds of key topics, from philosophy to Freud, quantum theory to Islam.
This book investigates the fundamental distinctions between school-level arithmetic and the abstract, research-oriented nature of professional mathematics. Timothy Gowers, a Fields Medalist and professor, utilizes his extensive academic background to demystify the mathematical mindset. He presents a framework that bridges the gap between basic calculation and the philosophical inquiries that drive modern mathematical discovery.
What You Will Find
Scope Limits
Experts and educators frequently cite this work as a premier entry point for those seeking to understand the nature of mathematical thought. Readers often note that the prose remains accessible to non-specialists while maintaining the rigor expected of a professional mathematician.
Page Count:
160
Publication Date:
2002-10-01
Publisher:
Oxford University Press
ISBN-10:
0192853619
ISBN-13:
9780192853615
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