Algebraic Number Theory, a Computational Approach

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.

Publication date: 14 Nov 2012

ISBN-10: n/a

ISBN-13: n/a

Paperback: 215 pages

Views: 2,583

Type: N/A

Publisher: n/a

License: Creative Commons Attribution-ShareAlike 3.0 Unported

Post time: 16 May 2016 11:00:00

Algebraic Number Theory, a Computational Approach

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: 2,583
Document Type: N/A
Publisher: n/a
License: Creative Commons Attribution-ShareAlike 3.0 Unported
Post time: 16 May 2016 11:00:00
Summary/Excerpts of (and not a substitute for) the Creative Commons Attribution-ShareAlike 3.0 Unported:
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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. 




About The Author(s)


William Arthur Stein is a professor of mathematics at the University of Washington. He is known as the lead developer of SageMath.

William A. Stein

William Arthur Stein is a professor of mathematics at the University of Washington. He is known as the lead developer of SageMath.


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