£39.07

American Mathematical Society Topology of Numbers (Miscellaneous Book Series)

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£53.00 £37.68 £41.02 £44.36 £47.71 £51.05 £54.39 01 June 2025 27 July 2025 22 September 2025 17 November 2025 13 January 2026

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Description

This book serves as an introduction to number theory at the undergraduate level, emphasizing geometric aspects of the subject. The geometric approach is exploited to explore in some depth the classical topic of quadratic forms with integer coefficients, a central topic of the book. Quadratic forms of this type in two variables have a very rich theory, developed mostly by Euler, Lagrange, Legendre, and Gauss during the period 1750-1800. In this book their approach is modernized by using the splendid visualization tool introduced by John Conway in the 1990s called the topograph of a quadratic form. Besides the intrinsic interest of quadratic forms, this theory has also served as a stepping stone for many later developments in algebra and number theory. The book is accessible to students with a basic knowledge of linear algebra and arithmetic modulo $n$. Some exposure to mathematical proofs will also be helpful. The early chapters focus on examples rather than general theorems, but theorems and their proofs play a larger role as the book progresses.

Key Features

Topology of Numbers

ABIS BOOK

Language:English

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
30 November 2022
Listed Since
12 August 2022

Barcode

No barcode data available

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