Problems in Algebraic Number Theory (Graduate Texts in Mathematics, 190, Band 190).

Murty, M. Ram / Jody Esmonde:

ISBN 10: 0387221824 / ISBN 13: 9780387221823

Verlag: New York, Springer (Graduate Texts in Mathematics / GTM 190), 2005

Beschreibung

Formateinband: Pappband / gebundene Ausgabe XVI, 352 S. (24 cm) Second Edition; Guter und sauberer Zustand. Sprache: Englisch Gewicht in Gramm: 800 [Stichwörter: Algebraische Zahlentheorie, Probleme, Euclidean Rings, Algebraic numbers and integers, Integral bases, Dedekind domains, The ideal class group, Quadratic reciprocity, The structure of units, Higher reciprocity laws, Density theorems, Solutions].

Bestandsnummer des Verkäufers 76100

Bibliografische Details

• Titel: Problems in Algebraic Number Theory (Graduate Texts in Mathematics, 190, Band 190).
• Verlag: New York, Springer (Graduate Texts in Mathematics / GTM 190)
• Erscheinungsjahr: 2005
• Sprache: Englisch
• ISBN-10: 0387221824
• ISBN-13: 9780387221823
• Einband: Hardcover
• Auflage: 2. Auflage
• Zustand: Gut
• Verkäuferkataloge:
  • Mathematik

Über diesen Titel

Inhaltsangabe

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

Von der hinteren Coverseite

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.