Problems in Algebraic Number Theory (Second Edition) Hardcover - 2005
by Murty, M. Ram; Esmonde, Jody
- Used
- Hardcover
It has become clear that problem solving plays an extremely important role in mathematical research. This book is a collection of about 500 problems in algebraic number theory. They are systematically arranged to reveal the evolution of concepts and ideas of the subject. For this new edition the authors have added a new chapter and revised several sections.
Description
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Details
- Title Problems in Algebraic Number Theory (Second Edition)
- Author Murty, M. Ram; Esmonde, Jody
- Binding Hardcover
- Edition Second Edition
- Condition Used - Very Good+
- Pages 352
- Volumes 1
- Language ENG
- Publisher Springer-Verlag, New York
- Date 2005
- Features Bibliography, Index
- Bookseller's Inventory # 80525
- ISBN 9780387221823 / 0387221824
- Weight 1.43 lbs (0.65 kg)
- Dimensions 9.48 x 6.4 x 0.89 in (24.08 x 16.26 x 2.26 cm)
- Library of Congress subjects Algebraic number theory
- Library of Congress Catalog Number 2004052213
- Dewey Decimal Code 512.74
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From the publisher
From the rear cover
From Reviews of the First Edition:
This book provides a problem-oriented first course in algebraic number theory. ... The authors have done a fine job in collecting and arranging the problems. Working through them, with or without help from a teacher, will surely be a most efficient way of learning the theory. Many of the problems are fairly standard, but there are also problems of a more original type. This makes the book a useful supplementary text for anyone studying or teaching the subject. ... This book deserves many readers and users.
- T. Metsnkyl, Mathematical Reviews
The book covers topics ranging from elementary number theory (such as the unique factorization of integers or Fermat's little theorem) to Dirichlet's theorem about primes in arithmetic progressions and his class number formula for quadratic fields, and it treats standard material such as Dedekind domains, integral bases, the decomposition of primes not dividing the index, the class group, the Minkowski bound and Dirichlet's unit theorem ... the reviewer is certain that many students will benefit from this pathway into the fascinating realm of algebraic number theory.
- Franz Lemmermeyer, Zentralblatt
This second edition is an expanded and revised version of the first edition. In particular, it contains an extra chapter on density theorems and $L$-functions highlighting some of the analytic aspects of algebraic number theory.
