Topology of Numbers (Miscellaneous Book Series) - Image 1

Price loading...

American Mathematical Society Topology of Numbers (Miscellaneous Book Series)

Name: Topology of Numbers (Miscellaneous Book Series)
Brand: American Mathematical Society

Geometry & Topology

Price History & Forecast

No Price Data Available

Price history will appear here once data is collected from Amazon.

Price Distribution

No price data available for histogram

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

Brand: American Mathematical Society
Format: paperback
ASIN: 1470456117
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Geometry & Topology
Domain: Amazon UK
Release Date: 30 November 2022
Listed Since: 12 August 2022

Barcode

No barcode data available

American Mathematical Society Topology of Numbers (Miscellaneous Book Series)

Price History & Forecast

No Price Data Available

Price Distribution

Description

Key Features

Product Specifications

Barcode

Similar Products You Might Like

Elementary Topology: Problem Textbook (Monograph Books)

Number Theory: Algebraic Numbers and Functions (Graduate Studies in Mathematics)

Number Theory and Geometry: An Introduction to Arithmetic Geometry (Pure and Applied Undergraduate Texts)

Introduction To Abstract Algebra, An: Sets, Groups, Rings, And Fields

Introduction to Quadratic Forms Over Fields (Graduate Studies in Mathematics)

The Tiling Book: An Introduction to the Mathematical Theory of Tilings

Elementary Topology: A Combinatorial and Algebraic Approach

Arithmetics: 0 (Universitext)

Topological Spaces: From Distance to Neighborhood (Undergraduate Texts in Mathematics)

Knots and Primes: An Introduction to Arithmetic Topology (Universitext)

Explorations in Number Theory: Commuting through the Numberverse (Undergraduate Texts in Mathematics)

Abstract Algebra (Pure and Applied Undergraduate Texts)

Introduction To Abstract Algebra, An: Sets, Groups, Rings, And Fields

Algebra and Geometry

Algebraic Number Theory

Algebraic Geometry: A Problem Solving Approach (Student Mathematical Library)

An Invitation to Abstract Algebra (Textbooks in Mathematics)

Lectures on Differential Topology (Graduate Studies in Mathematics)

Topological Modular Forms (Mathematical Surveys and Monographs)

Invitation to Mathematics

Number Theory Revealed: A Masterclass (Miscellaneous Books)

The Mathematical Neighborhoods of School Mathematics (Miscellaneous Book Series)

Number, Shape, & Symmetry: An Introduction to Number Theory, Geometry, and Group Theory

Quadratic Number Theory