Algebraic Number Theory, a Computational Approach

This book is based on notes the author created for a one-semester undergraduate course on Algebraic Number Theory at Harvard.

Tag(s): Number Theory

Publication date: 14 Nov 2012

ISBN-10: n/a

ISBN-13: n/a

Paperback: 215 pages

Views: 8,624

Type: N/A

Publisher: n/a

License: Creative Commons Attribution-ShareAlike 3.0 Unported

Post time: 17 May 2016 12:00:00

Algebraic Number Theory, a Computational Approach

This book is based on notes the author created for a one-semester undergraduate course on Algebraic Number Theory at Harvard.

Tag(s): Number Theory
Publication date: 14 Nov 2012
ISBN-10: n/a
ISBN-13: n/a
Paperback: 215 pages
Views: 8,624
Document Type: N/A
Publisher: n/a
License: Creative Commons Attribution-ShareAlike 3.0 Unported
Post time: 17 May 2016 12:00:00

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From the Preface:

William A. Stein wrote:In addition to general mathematical maturity, this book assumes you have the following background:

Basics of finite group theory

Commutative rings, ideals, quotient rings

Some elementary number theory

Basic Galois theory of fields

Point set topology

Basic of topological rings, groups, and measure theory

For example, if you have never worked with finite groups before, you should read another book first. If you haven't seen much elementary ring theory, there is still hope, but you will have to do some additional reading and exercises. We will briefly review the basics of the Galois theory of number fields.

Some of the homework problems involve using a computer, but there are examples which you can build on. We will not assume that you have a programming background or know much about algorithms.