Mathematics: A Very Short Introduction

Timothy Gowers

“This book’s goal is to carefully but untechnically illustrate the distinctions between high-level, research-level mathematics and the kind of mathematics we learn in school. Readers of this book will leave with a deeper grasp of seemingly counterintuitive ideas like infinity, curved space, and imaginary numbers since the most fundamental distinctions are philosophical. The opening chapters discuss general facets of mathematical theory. Following these are talks of more specialized subjects, and the book concludes with a chapter that addresses frequently asked social concerns concerning the mathematical community, such as “Is it true that mathematicians burn out at the age of 25?” Anyone who wants to better grasp mathematics should start with this introduction.”