Number Theory III: Diophantine Geometry (Encyclopaedia of Mathematical Sciences) - Diophantine Geometry - Serge A. Lang, Lang, Serge (1991)
ISBN 0387530045
Subject Diophantine analysis
Publisher Springer
Publication Date June 1991
Format Hardcover (248 x 165 mm)
Language e
Diophantine problems concern the solutions of equations in integers, rational numbers, or various generalizations. The book is an encyclopedic 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 1950's, after its origins in Mordell, Weil and Siegel's papers in the 1920's. 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.
Personal Details
Collection Status In Collection
Index 528
Read It Yes
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Product Details
LoC Classification QA242 .N85 1991
Dewey 512/.7
Cover Price $129.00
No. of Pages 296