
Introduction to Modern Number Theory
Fundamental Problems, Ideas and Theories
Springer (Publisher)
2nd Edition
Published on 19. October 2010
Book
Paperback/Softback
XVI, 514 pages
978-3-642-05797-7 (ISBN)
Description
This edition has been called 'startlingly up-to-date', and in this corrected second printing you can be sure that it's even more contemporaneous. It surveys from a unified point of view both the modern state and the trends of continuing development in various branches of number theory. Illuminated by elementary problems, the central ideas of modern theories are laid bare. Some topics covered include non-Abelian generalizations of class field theory, recursive computability and Diophantine equations, zeta- and L-functions. This substantially revised and expanded new edition contains several new sections, such as Wiles' proof of Fermat's Last Theorem, and relevant techniques coming from a synthesis of various theories.
Reviews / Votes
"Das vorliegende Buch gibt einen sehr konzisen Blick auf die Zahlentheorie, beginnend mit den historischen Anfängen bis hin zu neuesten Resultaten und Sichtweisen. Daß bei einem solch weit gespannten Themenkreis nicht immer der Charaketer einer "Einführung" gewahrt werden kann, ist klar. ... Nichtsdestotrotz ist es den Autoren gelungen, eine beeindruckende Gesamtschau der Zahlentheorie bis hin zu den Entwicklungen der letzten Jahre zu geben. ... " P.Grabner, Internationale Mathematische Nachrichten 201, p. 37-38, 2006More details
Product info
Previously published in hardcover
Series
Edition
2nd ed. 2005. Corr. 2nd printing. Softcover version of original hardcover edition 2005
Language
English
Place of publication
Berlin, Heidelberg
Germany
Target group
Research
Edition type
Revised edition
Product notice
Paperback (trade)
Illustrations
biography
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 28 mm
Weight
795 gr
ISBN-13
978-3-642-05797-7 (9783642057977)
DOI
10.1007/3-540-27692-0
Schweitzer Classification
Other editions
Additional editions

Yu. I. Manin | Alexei A. Panchishkin
Introduction to Modern Number Theory
Fundamental Problems, Ideas and Theories
Book
08/2007
2nd Edition
Springer
€181.89
Shipment within 7-9 days
Content
Problems and Tricks.- Number Theory.- Some Applications of Elementary Number Theory.- Ideas and Theories.- Induction and Recursion.- Arithmetic of algebraic numbers.- Arithmetic of algebraic varieties.- Zeta Functions and Modular Forms.- Fermat's Last Theorem and Families of Modular Forms.- Analogies and Visions.- Introductory survey to part III: motivations and description.- Arakelov Geometry and Noncommutative Geometry (d'après C. Consani and M. Marcolli, [CM]).