Problems in Algebraic Number Theory: 190 (Graduate Texts in Mathematics, 190) - Tapa dura

Libro 32 de 180: Graduate Texts in Mathematics

Esmonde, Jody (Indigo); Murty, M. Ram

 
9780387221823: Problems in Algebraic Number Theory: 190 (Graduate Texts in Mathematics, 190)
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ISBN 10: 0387221824 ISBN 13: 9780387221823
Editorial: Springer, 2004

Sinopsis

The problems are systematically arranged to reveal the evolution of concepts and ideas of the subject

Includes various levels of problems - some are easy and straightforward, while others are more challenging

All problems are elegantly solved

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De la contraportada

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. Metsänkylä, 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.

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Editorial
Springer
Año de publicación
2004
Idioma
Inglés
ISBN 10 
0387221824
ISBN 13 
9780387221823
Encuadernación
Tapa dura
Número de edición
2
Número de páginas
380
Contacto del fabricante
ProductSafety@springernature.com
ProductSafety@springernature.com

Poststr. 9
Darmstadt
64293
Alemania

Otras ediciones populares con el mismo título

9781441919670: Problems in Algebraic Number Theory: 190 (Graduate Texts in Mathematics)

Edición Destacada

ISBN 10:  1441919678 ISBN 13:  9781441919670
Editorial: Springer, 2010
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