《The Princeton Companion to Mathematics 普林斯顿数学指南》

Editor

• Timothy Gowers University of Cambridge

Associate Editors

• June Barrow-Green The Open University
• Imre Leader University of Cambridge

Press

Princeton University Press
Princeton and Oxford

ISBN

978-0-691-11880-2

PDF

Rutgers University/ Mathematics Department/ PCM

Content

Part I Introduction

1. What is Mathematics About?
   1.1 Algebra, Geometry, and Analysis
   1.2 The Main Branches of Mathematcis
2. The Language and Grammar of Mathematics
   2.1 Introduction
   2.2 Four Basic Concepts
   2.3 Some Elementary Logic
   2.4 Levels of Formality
3. Some Fundamental Mathematical Definitions
4. The General Goals of Mathematical Research