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Introduction to Diophantine Approximations

New Expanded Edition

By: Serge Lang

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Hardcover | 29 June 1995 | Edition Number 2

At a Glance

Hardcover
148 Pages

Edition Type
Revised

Dimensions(cm)
23.39 x 15.6 x 0.97

Hardcover

$210.72

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The aim of this book is to illustrate by significant special examples three aspects of the theory of Diophantine approximations: the formal relationships that exist between counting processes and the functions entering the theory; the determination of these functions for numbers given as classical numbers; and certain asymptotic estimates holding almost everywhere.
Each chapter works out a special case of a much broader general theory, as yet unknown. Indications for this are given throughout the book, together with reference to current publications. The book may be used in a course in number theory, whose students will thus be put in contact with interesting but accessible problems on the ground floor of mathematics.

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Non-Fiction Mathematics Number Theory

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Non-Fiction Mathematics Number Theory

Foreword
Foreword to the First Edition
General Formalism	p. 1
Asymptotic Approximations	p. 20
Estimates of Averaging Sums	p. 35
Quadratic Irrationalities	p. 50
The Exponential Function	p. 69
Bibliography	p. 79
Appendix A: Some Computations in Diophantine Approximations	p. 81
Appendix B: Continued Fractions for Some Algebraic Numbers	p. 93
Appendix C: Addendum to Continued Fractions for Some Algebraic Numbers	p. 126
Index	p. 129
Table of Contents provided by Blackwell. All Rights Reserved.

Introduction to Diophantine Approximations

New Expanded Edition

At a Glance

Hardcover

Shipping

How to return your order

Defective items

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