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Algebraic Theory of Quadratic Numbers by Mak Trifkovic
Algebraic Theory of Quadratic Numbers by Mak Trifkovic
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Algebraic Theory of Quadratic Numbers

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Description

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.

Author Biography:

Mak Trifković is an assistant professor of mathematics at the University of Victoria.
Release date Australia
September 14th, 2013
Author
Audience
  • Professional & Vocational
Illustrations
29 Illustrations, black and white; XI, 197 p. 29 illus.
Pages
197
Dimensions
155x235x11
ISBN-13
9781461477167
Product ID
21347577

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