The Princeton Companion to Mathematics
The Princeton Companion to Mathematics is a comprehensive reference work edited by mathematician Timothy Gowers, with contributions from more than 200 experts in the field of mathematics. The book is a testament to the vast and varied landscape of mathematics, showcasing the many different branches, subfields, and applications of this fascinating subject.
The book is organized into eight parts, each of which covers a different area of mathematics. Part one, titled "Fundamental Concepts," provides an overview of the basic principles and structures that underpin mathematics, including numbers, sets, and functions. Part two, "Number Theory," focuses on the study of integers, prime numbers, and other properties of numbers. Part three, "Algebra," covers the study of equations and algebraic structures such as groups, rings, and fields.
Other parts of the book cover topics such as geometry, topology, analysis, combinatorics, and mathematical physics. Each section is written by leading experts in the field and provides a thorough overview of the subject matter, as well as insights into the latest developments and open problems.
Among the best books on mathematics, The Princeton Companion to Mathematics is an invaluable resource for mathematicians, students, and anyone interested in the beauty and power of mathematics. Its accessible style, clear explanations, and engaging writing make it an ideal introduction to the subject for newcomers, while its depth and breadth make it an essential reference work for experts in the field. Whether you are a professional mathematician or simply an enthusiastic amateur, this book is sure to delight and inspire you.
Author: Timothy Gowers
Link to buy: https://www.amazon.com/gp/product/0691118809
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Best Sellers Rank: #145,708 in Books
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