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Algebraic Number Theory for Beginners - Following a Path From Euclid to Noether (Hardcover) Loot Price: R2,186
Discovery Miles 21 860
You Save: R340 (13%)
Algebraic Number Theory for Beginners - Following a Path From Euclid to Noether (Hardcover): John Stillwell

Algebraic Number Theory for Beginners - Following a Path From Euclid to Noether (Hardcover)

John Stillwell

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Was R2,526 Loot Price R2,186 Discovery Miles 21 860 | Repayment Terms: R205 pm x 12* You Save R340 (13%)

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This book introduces algebraic number theory through the problem of generalizing 'unique prime factorization' from ordinary integers to more general domains. Solving polynomial equations in integers leads naturally to these domains, but unique prime factorization may be lost in the process. To restore it, we need Dedekind's concept of ideals. However, one still needs the supporting concepts of algebraic number field and algebraic integer, and the supporting theory of rings, vector spaces, and modules. It was left to Emmy Noether to encapsulate the properties of rings that make unique prime factorization possible, in what we now call Dedekind rings. The book develops the theory of these concepts, following their history, motivating each conceptual step by pointing to its origins, and focusing on the goal of unique prime factorization with a minimum of distraction or prerequisites. This makes a self-contained easy-to-read book, short enough for a one-semester course.

General

Imprint: Cambridge UniversityPress
Country of origin: United Kingdom
Release date: July 2022
Authors: John Stillwell
Dimensions: 235 x 157 x 20mm (L x W x T)
Format: Hardcover
Pages: 250
ISBN-13: 978-1-316-51895-3
Categories: Books > Science & Mathematics > Mathematics > Algebra > General
Books > Science & Mathematics > Mathematics > Number theory > General
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LSN: 1-316-51895-7
Barcode: 9781316518953

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