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Number Theory, Volume 1: Tools and Diophantine Equations
Paperback
Series: Graduate Texts in Mathematics, Book 239
ISBN13: 9781441923905
Publisher: Springer
Published: Nov 25 2010
Pages: 650
Weight: 2.05
Height: 1.50 Width: 6.10 Depth: 9.00
Language: English
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.
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