"Sinopsis" puede pertenecer a otra edición de este libro.
This is an introductory text in algebraic number theory that has good coverage ... . This second edition is completely reorganized and rewritten from the first edition. ... Very Good Features: (1) The applications are not limited to Diophantine equations, as in many books, but cover a wide range, including factorization into primes, primality testing, and the higher reciprocity laws. (2) The book has a large number of mini-biographies of the number theorists whose work is being discussed. ...
―MAA Reviews, April 2011
This book is in the MAA's basic library list. The Basic Library List Committee considers this book essential for undergraduate mathematics libraries.
Praise for the First Edition
This is a remarkable book that will be a valuable reference for many people, including me. The book shows great care in preparation, and the ample details and motivation will be appreciated by lots of students. The solid punches at the end of each chapter will be appreciated by everybody. It deserves success with many adoptions as a text.
―Irving Kaplansky, Mathematical Sciences Research Institute, Berkeley, California, USA
An extremely well-written and clear presentation of algebraic number theory suitable for beginning graduate students. The many exercises, applications, and references are a very valuable feature of the book.
―Kenneth Williams, Carleton University, Ottawa, Ontario, Canada
This is a unique book that will be influential.
―John Brillhart, University of Arizona, Tucson, USA
Bringing the material up to date to reflect modern applications, Algebraic Number Theory, Second Edition has been completely rewritten and reorganized to incorporate a new style, methodology, and presentation. This edition focuses on integral domains, ideals, and unique factorization in the first chapter; field extensions in the second chapter; and class groups in the third chapter. Applications are now collected in chapter four and at the end of chapter five, where primality testing is highlighted as an application of the Kronecker–Weber theorem. In chapter five, the sections on ideal decomposition in number fields have been more evenly distributed. The final chapter continues to cover reciprocity laws.
New to the Second Edition
The book includes mini-biographies of notable mathematicians, convenient cross-referencing, a comprehensive index, and numerous exercises. The appendices present an overview of all the concepts used in the main text, an overview of sequences and series, the Greek alphabet with English transliteration, and a table of Latin phrases and their English equivalents.
Suitable for a one-semester course, this accessible, self-contained text offers broad, in-depth coverage of numerous applications. Readers are lead at a measured pace through the topics to enable a clear understanding of the pinnacles of algebraic number theory.
"Sobre este título" puede pertenecer a otra edición de este libro.
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Descripción Hardcover. Condición: New. Nº de ref. del artículo: 6666-TNFPD-9781439845981
Descripción Buch. Condición: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - 'The second edition of this popular book features coverage of L-functions and function fields to provide a more modern view of the field. This edition also introduces class groups for both binary and quadratic forms, making it much easier to prove the finiteness of the class number of both groups via an isomorphism. In addition, the text provides new results on the relationship between quadratic residue symbols and fundamental units of real quadratic fields in conjunction with prime representation. Along with reorganizing and shortening chapters for an easier presentation of material, the author includes updated problem sets and additional examples'--. Nº de ref. del artículo: 9781439845981
Descripción Gebunden. Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Richard A. Mollin is a professor in the Department of Mathematics and Statistics at the University of Calgary. In the past twenty-five years, Dr. Mollin has founded the Canadian Number Theory Association and has been awarded six Killam R. Nº de ref. del artículo: 595835033
Descripción Hardcover. Condición: Brand New. 2nd edition. 442 pages. 10.00x7.00x1.20 inches. In Stock. Nº de ref. del artículo: __1439845980