Algebraic Number Theory for Beginners: Following a Path From Euclid to Noether - Image 1

£71.41

Cambridge University Press Algebraic Number Theory for Beginners: Following a Path From Euclid to Noether

Name: Algebraic Number Theory for Beginners: Following a Path From Euclid to Noether
Brand: Cambridge University Press
Price: 71.41 GBP
Availability: InStock

Algebra

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£71 today · all-time low £69 (Apr 2026) · usually the usual

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Description

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.

Product Specifications

Brand: Cambridge University Press
Format: hardcover
ASIN: 1316518957
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 11 August 2022
Listed Since: 17 November 2021

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Cambridge University Press Algebraic Number Theory for Beginners: Following a Path From Euclid to Noether

About as cheap as it gets. The only time it was cheaper was 3 months ago.

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