Number theory vol.1. Tools and diophantine equations by Henri Cohen

Number theory vol.1. Tools and diophantine equations



Download Number theory vol.1. Tools and diophantine equations




Number theory vol.1. Tools and diophantine equations Henri Cohen
Language: English
Page: 673
Format: pdf
ISBN: 0387499229, 9780387499222
Publisher: Springer

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. The book contains more than 350 exercises and the text is largely self-contained. 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.

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