Store besparelser
Hurtig levering
Gemte
Log ind
0
Kurv
Kurv

Algebraic Number Theory for Beginners

- Following a Path From Euclid to Noether
Af: John Stillwell Engelsk Paperback

Algebraic Number Theory for Beginners

- Following a Path From Euclid to Noether
Af: John Stillwell Engelsk Paperback
Tjek vores konkurrenters priser
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.
Tjek vores konkurrenters priser
Normalpris
kr 335
Fragt: 39 kr
6 - 8 hverdage
20 kr
Pakkegebyr
God 4 anmeldelser på
Tjek vores konkurrenters priser
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.
Produktdetaljer
Sprog: Engelsk
Sider: 250
ISBN-13: 9781009001922
Indbinding: Paperback
Udgave:
ISBN-10: 1009001922
Kategori: Algebra
Udg. Dato: 11 aug 2022
Længde: 18mm
Bredde: 150mm
Højde: 226mm
Forlag: Cambridge University Press
Oplagsdato: 11 aug 2022
Forfatter(e): John Stillwell
Forfatter(e) John Stillwell


Kategori Algebra


ISBN-13 9781009001922


Sprog Engelsk


Indbinding Paperback


Sider 250


Udgave


Længde 18mm


Bredde 150mm


Højde 226mm


Udg. Dato 11 aug 2022


Oplagsdato 11 aug 2022


Forlag Cambridge University Press

Vi anbefaler også
Kategori sammenhænge