Algebraic Theory of Quadratic Numbers

Algebraic Theory of Quadratic Numbers
Author :
Publisher : Springer Science & Business Media
Total Pages : 206
Release :
ISBN-10 : 9781461477174
ISBN-13 : 1461477174
Rating : 4/5 (174 Downloads)

Book Synopsis Algebraic Theory of Quadratic Numbers by : Mak Trifković

Download or read book Algebraic Theory of Quadratic Numbers written by Mak Trifković and published by Springer Science & Business Media. This book was released on 2013-09-14 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: By focusing on quadratic numbers, this advanced undergraduate or master’s level textbook on algebraic number theory is accessible even to students who have yet to learn Galois theory. The techniques of elementary arithmetic, ring theory and linear algebra are shown working together to prove important theorems, such as the unique factorization of ideals and the finiteness of the ideal class group. The book concludes with two topics particular to quadratic fields: continued fractions and quadratic forms. The treatment of quadratic forms is somewhat more advanced than usual, with an emphasis on their connection with ideal classes and a discussion of Bhargava cubes. The numerous exercises in the text offer the reader hands-on computational experience with elements and ideals in quadratic number fields. The reader is also asked to fill in the details of proofs and develop extra topics, like the theory of orders. Prerequisites include elementary number theory and a basic familiarity with ring theory.


Algebraic Theory of Quadratic Numbers Related Books

Algebraic Theory of Quadratic Numbers
Language: en
Pages: 206
Authors: Mak Trifković
Categories: Mathematics
Type: BOOK - Published: 2013-09-14 - Publisher: Springer Science & Business Media

GET EBOOK

By focusing on quadratic numbers, this advanced undergraduate or master’s level textbook on algebraic number theory is accessible even to students who have ye
Quadratic Number Theory
Language: en
Pages: 410
Authors: J. L. Lehman
Categories: Mathematics
Type: BOOK - Published: 2019-02-13 - Publisher: American Mathematical Soc.

GET EBOOK

Quadratic Number Theory is an introduction to algebraic number theory for readers with a moderate knowledge of elementary number theory and some familiarity wit
Quadratic Number Fields
Language: en
Pages: 348
Authors: Franz Lemmermeyer
Categories: Mathematics
Type: BOOK - Published: 2021-09-18 - Publisher: Springer Nature

GET EBOOK

This undergraduate textbook provides an elegant introduction to the arithmetic of quadratic number fields, including many topics not usually covered in books at
The Algebraic and Geometric Theory of Quadratic Forms
Language: en
Pages: 456
Authors: Richard S. Elman
Categories: Mathematics
Type: BOOK - Published: 2008-07-15 - Publisher: American Mathematical Soc.

GET EBOOK

This book is a comprehensive study of the algebraic theory of quadratic forms, from classical theory to recent developments, including results and proofs that h
Number Theory
Language: en
Pages: 390
Authors: Helmut Koch
Categories: Mathematics
Type: BOOK - Published: 2000 - Publisher: American Mathematical Soc.

GET EBOOK

Algebraic number theory is one of the most refined creations in mathematics. It has been developed by some of the leading mathematicians of this and previous ce