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This title in other editions

London Mathematical Society Student Texts #50: A Brief Guide to Algebraic Number Theory

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London Mathematical Society Student Texts #50: A Brief Guide to Algebraic Number Theory Cover

 

Synopses & Reviews

Publisher Comments:

This account of Algebraic Number Theory is written primarily for beginning graduate students in pure mathematics, and encompasses everything that most such students are likely to need; others who need the material will also find it accessible. It assumes no prior knowledge of the subject, but a firm basis in the theory of field extensions at an undergraduate level is required, and an appendix covers other prerequisites. The book covers the two basic methods of approaching Algebraic Number Theory, using ideals and valuations, and includes material on the most usual kinds of algebraic number field, the functional equation of the zeta function and a substantial digression on the classical approach to Fermat's Last Theorem, as well as a comprehensive account of class field theory. Many exercises and an annotated reading list are also included.

Book News Annotation:

A text primarily for beginning graduate students that is largely an account of mainstream theory but also contains some illustrative applications. Algebraic number theory, originally developed to attack Fermat's Last Theorem, has become an important tool over a wide range of pure mathematics, and many of the ideas involved generalize to branches such as algebraic geometry. The text covers the two basic methods of approaching algebraic number theory: using ideals and valuations. The author is a Cambridge (UK) mathematician.
Annotation c. Book News, Inc., Portland, OR (booknews.com)

Synopsis:

This is an account of Algebraic Number Theory, a field which has grown to touch many other areas of pure mathematics. The book encompasses everything that graduate students and pure mathematicians interested in the subject are likely to need, and assumes only some undergraduate level material and other prerequisites covered in an appendix. The book covers the two basic methods of approaching Algebraic Number Theory and includes a substantial digression on the classical approach to Fermat's Last Theorem. Many exercises and an annotated reading list are also included.

Synopsis:

This is an account of Algebraic Number Theory, a field which has grown to touch many other areas of pure mathematics. The book encompasses everything that graduate students and pure mathematicians interested in the subject are likely to need, and assumes only some undergraduate level material and other prerequisites covered in an appendix. The book covers the two basic methods of approaching Algebraic Number Theory and includes a substantial digression on the classical approach to Fermat's Last Theorem. Many exercises and an annotated reading list are also included.

Synopsis:

Broad graduate-level account of Algebraic Number Theory, including exercises, by a world-renowned author.

Synopsis:

'mber Theory, including exercises, by a world-renowned author.'

Table of Contents

Preface; 1. Numbers and ideals; 2. Valuations; 3. Special fields; 4. Analytic methods; 5. Class field theory; Appendix; Exercises; Suggested further reading.

Product Details

ISBN:
9780521004237
Editor:
Series, C. M.
Author:
Swinnerton-Dyer, H. P. F.
Editor:
Series, C. M.
Author:
Swinnerton-Dyer, Peter
Author:
Series, C. M.
Publisher:
Cambridge University Press
Location:
Cambridge
Subject:
General
Subject:
Number Theory
Subject:
Algebraic number theory
Subject:
Algebraic number theory Algebraic number theo
Subject:
Mathematics-Number Theory
Edition Description:
Trade paper
Series:
London Mathematical Society Student Texts
Series Volume:
50
Publication Date:
20110531
Binding:
TRADE PAPER
Grade Level:
Professional and scholarly
Language:
English
Illustrations:
36 exercises
Pages:
160
Dimensions:
8.98x6.04x.34 in. .51 lbs.

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Science and Mathematics » Mathematics » Number Theory

London Mathematical Society Student Texts #50: A Brief Guide to Algebraic Number Theory New Trade Paper
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$67.25 In Stock
Product details 160 pages Cambridge University Press - English 9780521004237 Reviews:
"Synopsis" by , This is an account of Algebraic Number Theory, a field which has grown to touch many other areas of pure mathematics. The book encompasses everything that graduate students and pure mathematicians interested in the subject are likely to need, and assumes only some undergraduate level material and other prerequisites covered in an appendix. The book covers the two basic methods of approaching Algebraic Number Theory and includes a substantial digression on the classical approach to Fermat's Last Theorem. Many exercises and an annotated reading list are also included.
"Synopsis" by , This is an account of Algebraic Number Theory, a field which has grown to touch many other areas of pure mathematics. The book encompasses everything that graduate students and pure mathematicians interested in the subject are likely to need, and assumes only some undergraduate level material and other prerequisites covered in an appendix. The book covers the two basic methods of approaching Algebraic Number Theory and includes a substantial digression on the classical approach to Fermat's Last Theorem. Many exercises and an annotated reading list are also included.
"Synopsis" by , Broad graduate-level account of Algebraic Number Theory, including exercises, by a world-renowned author.
"Synopsis" by , 'mber Theory, including exercises, by a world-renowned author.'
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