The Princeton Companion to Mathematics

The Princeton Companion to Mathematics

Edited by Timothy Gowers

The Princeton Companion to Mathematics is an unparalleled resource for anyone with a serious interest in mathematics. Edited by Fields Medal recipient Timothy Gowers, this comprehensive reference work presents nearly two hundred entries, written specifically for this book by some of the world’s leading mathematicians. The entries introduce basic mathematical tools and vocabulary, trace the development of modern mathematics, explain essential terms and concepts, examine core ideas in major areas of mathematics, and describe the achievements of many famous mathematicians. Furthermore, the book explores the impact of mathematics on other disciplines such as biology, finance, and music.

Key Features:

• In-depth Coverage: The book surveys the most active and exciting branches of pure mathematics, making it an indispensable resource for undergraduate and graduate students, as well as researchers and scholars.
• Accessibility: Written in a clear, accessible style, it ensures that complex mathematical concepts are understandable to a wide audience.
• Thematic Organization: Nearly 200 entries are organized thematically and written by an international team of distinguished contributors.
• Comprehensive Content: It covers major ideas and branches of pure mathematics, including number theory, algebra, analysis, geometry, logic, and probability.
• Historical Context: The development of modern mathematics is traced, highlighting the history and evolution of key concepts and theories.
• Influential Mathematicians: Profiles of more than ninety-five mathematicians who have significantly influenced contemporary mathematical work.
• Interdisciplinary Influence: Explores how mathematics impacts other fields such as biology, finance, and music.
• Research Tools: Includes bibliographies, cross-references, and a comprehensive index to aid further research.

This book is an essential reference for anyone looking to deepen their understanding of mathematics and its applications across various fields.