Graduate Texts in Mathematics: Volume I: Tools and Diophantine Equations

Cohen, Henri

The central theme of this book is the solution of Diophantine equations, i.e., equations or systems of polynomial equations which must be solved in integers, rational numbers or more generally in algebraic numbers. This theme, in particular, is the central motivation for the modern theory of arithmetic algebraic geometry. In this text, this is considered through three of its most basic aspects. Much more sophisticated techniques have been brought to bear on the subject of Diophantine equations, and for this reason, the author has included five appendices on these techniques. The book contains more than 350 exercises and the text is largely self-contained.

Details

Published by: Springer

Publication Date: 2007-05-23

Format: Hardcover

ISBN-13: 9780387499222

DOI: 10.1007/978-0-387-49923-9

Dimensions: 235cm x155cm

Pages: 650