Isbn: 9781009001922 - algebraic number theory for beginners: following a path from euclid to noether (10 Ergebnisse)

PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000.

Zustand: New.

Paperback. Zustand: Brand New. 250 pages. 9.00x6.00x0.51 inches. In Stock.

Zustand: New. In English.

Zustand: New. 2022. New. Paperback. . . . . . Books ship from the US and Ireland.

Paperback. Zustand: Brand New. 250 pages. 9.00x6.00x0.51 inches. In Stock.

Zustand: NEW.

Zustand: New. This book, meant for undergraduate mathematics students and teachers, introduces algebraic number theory through problems from ordinary number theory that can be solved with the help of algebraic numbers, using a suitable generalization of unique prime fact.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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.…

Zustand: gut. 2022. Algebraic Number Theory for Beginners In englischer Sprache. pages.