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Algebraic number theory for beginners


Foto: Algebraic number theory for beginners
Rubriek: Textual/Printed/Reference Materials - Boek
Prijs: 38.15
Rating: 0/5
Verzending:
Uiterlijk 29 oktober in huis


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Omschrijving:

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.



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Product specificaties:

Taal: en

Bindwijze: Paperback

Oorspronkelijke releasedatum: 11 augustus 2022

Aantal pagina's: 250

Illustraties: Met illustraties

Hoofdauteur: John Stillwell

Hoofduitgeverij: Cambridge University Press

Editie: New edition

Product breedte: 151 mm

Product hoogte: 13 mm

Product lengte: 228 mm

Studieboek: Nee

Verpakking breedte: 150 mm

Verpakking hoogte: 13 mm

Verpakking lengte: 227 mm

Verpakkingsgewicht: 368 g

EAN: 9781009001922