9781470446949

Introduction to Number Theory

Format: Hardcover

ISBN13: 9781470446949

Hardcover|9781470446949


Overview

Growing out of a course designed to teach Gauss's Disquisitiones Arithmeticae to honors-level undergraduates, Flath's Introduction to Number Theory focuses on Gauss's theory of binary quadratic forms. It is suitable for use as a textbook in a course or self-study by advanced undergraduates or graduate students who possess a basic familiarity with abstract algebra. The text treats a variety of topics from elementary number theory including the distribution of primes, sums of squares, continued factions, the Legendre, Jacobi and Kronecker symbols, the class group and genera. But the focus is on quadratic reciprocity (several proofs are given including one that highlights the $p - q$ symmetry) and binary quadratic forms. The reader will come away with a good understanding of what Gauss intended in the Disquisitiones and Dirichlet in his Vorlesungen. The text also includes a lovely appendix by J. P. Serre titled $\Delta = b^2 - 4ac$.

The clarity of the author's vision is matched by the clarity of his exposition. This is a book that reveals the discovery of the quadratic core of algebraic number theory. It should be on the desk of every instructor of introductory number theory as a source of inspiration, motivation, examples, and historical insight.

ISBN-13

9781470446949

ISBN-10

1470446944

Weight

1.26 Pounds

Dimensions

7.25 x 0.75 x 10.50 In

List Price

$53.00

Format

Hardcover

Language

English

Pages

212 pages

Publisher

American Mathematical Society

Published On

2018-10-30



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