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Topology of Numbers by Allen Hatcher - SEALED

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Características del artículo

Estado
Nuevo: Libro nuevo, sin usar y sin leer, que está en perfecto estado; incluye todas las páginas sin ...
ISBN
9781470456115

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Product Identifiers

Publisher
American Mathematical Society
ISBN-10
1470456117
ISBN-13
9781470456115
eBay Product ID (ePID)
22057261884

Product Key Features

Number of Pages
350 Pages
Publication Name
Topology of Numbers
Language
English
Publication Year
2022
Subject
General
Type
Textbook
Author
Allen Hatcher
Subject Area
Mathematics
Series
Miscellaneous Bks.
Format
Trade Paperback

Dimensions

Item Height
0.8 in
Item Weight
12.8 Oz
Item Length
10 in
Item Width
7 in

Additional Product Features

Intended Audience
Scholarly & Professional
LCCN
2022-021573
Dewey Edition
23/eng20220723
Illustrated
Yes
Dewey Decimal
512.7/5
Table Of Content
A preview The Farey diagram Continued fractions Symmetries of the Farey diagram Quadratic forms Classification of quadratic forms Representations by quadratic forms The class group for quadratic forms Quadratic fields Tables Glossary of nonstandard terminology Bibliography Index
Synopsis
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 ......, 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.
LC Classification Number
QA241.5.H38 2022

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