Number Theory: Volume I: Tools and Diophantine Equations
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.

1148300719
Number Theory: Volume I: Tools and Diophantine Equations
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.

59.99 In Stock
Number Theory: Volume I: Tools and Diophantine Equations

Number Theory: Volume I: Tools and Diophantine Equations

by Henri Cohen
Number Theory: Volume I: Tools and Diophantine Equations

Number Theory: Volume I: Tools and Diophantine Equations

by Henri Cohen

Overview

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.

Product Details

ISBN-13: 9781441923905
Publisher: Springer New York
Publication date: 11/25/2010
Series: Graduate Texts in Mathematics , #239
Edition description: Softcover reprint of hardcover 1st ed. 2007
Pages: 650
Product dimensions: 6.10(w) x 9.25(h) x 0.06(d)

Table of Contents

to Diophantine Equations.- to Diophantine Equations.- Tools.- Abelian Groups, Lattices, and Finite Fields.- Basic Algebraic Number Theory.- p-adic Fields.- Quadratic Forms and Local-Global Principles.- Diophantine Equations.- Some Diophantine Equations.- Elliptic Curves.- Diophantine Aspects of Elliptic Curves.
From the B&N Reads Blog
Page 1 of

Customer Reviews