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Number Theory. Vol. 1 Elementary and Algebraic Methods for Diophantine Equations

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Number Theory. Vol. 1 Elementary and Algebraic Methods for Diophantine Equations Synopsis

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.

About This Edition

ISBN: 9781441923905
Publication date:
Author: Henri Cohen
Publisher: Springer an imprint of Springer New York
Format: Paperback
Pagination: 650 pages
Series: Graduate Texts in Mathematics
Genres: Number theory
Numerical analysis
Algorithms and data structures
Algebra