Algebraic Number Theory
Algebraic Number Theory
A. Fröhlich, University of London
M. J. Taylor, University of Manchester Institute of Science and Technology
M. J. Taylor, University of Manchester Institute of Science and Technology
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9781316043240
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This book provides a brisk, thorough treatment of the foundations of algebraic number theory on which it builds to introduce more advanced topics. Throughout, the authors emphasize the systematic development of techniques for the explicit calculation of the basic invariants such as rings of integers, class groups, and units, combining at each stage theory with explicit computations.
- Eagerly awaited in the maths community
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"...an excellent contribution to the long list of books presenting the main results of algebraic number theory. It is useful for anyone who is learning or teaching this branch of mathematics." J. Browkin, Mathematical Reviews
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No date availableAdobe eBook Reader
9781316043240
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5 b/w illus.
This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
- Notation
- Introduction
- 1. Algebraic foundations
- 2. Dedekind domains
- 3. Extensions
- 4. Classgroups and units
- 5. Fields of low degree
- 6. Cyclotomic fields
- 7. Diophantine equations
- 8. L-functions
- Appendices
- Exercises
- Glossary of theorems
- Index.
