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Number Theory: Volume I: Tools and Diophantine Equations

Number Theory: Volume I: Tools and Diophantine Equations (Hardback)

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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. 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.

Science & MathematicsMathematicsNumber theory Publisher: Springer-Verlag New York Inc. Publication Date: 23/05/2007 ISBN-13: 9780387499222  Details: Type: Hardback Format: Books
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