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 ...
Read More
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.
Read Less
Add this copy of Algebraic Number Theory for Beginners to cart. $33.73, new condition, Sold by FirstClassBooks rated 4.0 out of 5 stars, ships from Little Rock, AR, UNITED STATES, published 2022 by Cambridge University Press.
Add this copy of Algebraic Number Theory for Beginners: Following a Path to cart. $34.88, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2022 by Cambridge University Press.
Add this copy of Algebraic Number Theory for Beginners to cart. $37.23, new condition, Sold by GreatBookPrices rated 4.0 out of 5 stars, ships from Columbia, MD, UNITED STATES, published 2022 by Cambridge University Press.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
New. Trade paperback (US). Glued binding. 250 p. Contains: Unspecified. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
Add this copy of Algebraic Number Theory for Beginners to cart. $44.16, new condition, Sold by Media Smart rated 4.0 out of 5 stars, ships from Hawthorne, CA, UNITED STATES, published 2022 by Cambridge University Press.
Add this copy of Algebraic Number Theory for Beginners to cart. $44.19, new condition, Sold by discount_scientific_books rated 4.0 out of 5 stars, ships from Sterling Heights, MI, UNITED STATES, published 2022 by Cambridge University Press.
Add this copy of Algebraic Number Theory for Beginners to cart. $46.06, new condition, Sold by discount_scientific_books rated 4.0 out of 5 stars, ships from Sterling Heights, MI, UNITED STATES, published 2022 by Cambridge University Press.
