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Number Theory III: Diophantine Geometry by Serge Lang (Hardcover, 1991)

About this product

About this product

Product Information

Diophantine problems concern the solutions of equations in integers, rational numbers, or various generalizations. The book is an encyclopaedic survey of diophantine geometry. For the most part no proofs are given, but references are given where proofs may be found. There are some exceptions, notably the proof for a large part of Faltings' theorems is given. The survey puts together, from a unified point of view, the field of diophantine geometry which has developed since the early 1950s, after its origins in Mordell, Weil and Siegel's papers in the 1920s. The basic approach is that of algebraic geometry, but examples are given which show how this approach deals with (and sometimes solves!) classical problems phrased in very elementary terms. For instance, the Fermat problem is not solved, but it is shown to fit in to two great structural approaches, so that it is not an isolated problem any more. This monograph on number theory, algebraic geometry, several complex variables and differential geometry is intended for graduate students and researchers.

Product Identifiers

Publisher
Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
ISBN-13
9783540530046
eBay Product ID (ePID)
95631365

Product Key Features

Author
Serge Lang
Publication Name
Number Theory III: Diophantine Geometry
Format
Hardcover
Language
English
Subject
Mathematics
Publication Year
1991
Type
Textbook
Number of Pages
296 Pages

Dimensions

Item Height
235mm
Item Width
155mm
Volume
60
Item Weight
1370g

Additional Product Features

Title_Author
Serge Lang
Series Title
Encyclopaedia of Mathematical Sciences
Editor
Serge Lang
Country/Region of Manufacture
Germany

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