عنوان

Introduction to Diophantine Approximations

شابک

9781461242208

شابک

9781461287001

شماره

b402970

عنوان اصلي

Introduction to Diophantine Approximations

نام عام مواد

[Book]

ساير اطلاعات عنواني

New Expanded Edition /

نام نخستين پديدآور

by Serge Lang.

محل نشرو پخش و غیره

New York, NY :

نام ناشر، پخش کننده و غيره

Springer New York,

تاریخ نشرو بخش و غیره

1995.

متن يادداشت

I General Formalism -- {sect}1. Rational Continued Functions -- {sect}2. The Continued Fraction of a Real Number -- {sect}3. Equivalent Numbers -- {sect}4. Intermediate Convergents -- II Asymptotic Approximations -- {sect}1. Distribution of the Convergents -- {sect}2. Numbers of Constant Type -- {sect}3. Asymptotic Approximations -- {sect}4. Relation with Continued Fractions -- III Estimates of Averaging Sums -- {sect}1. The Sum of the Remainders -- {sect}2. The Sum of the Reciprocals -- {sect}3. Quadratic Exponential Sums -- {sect}4. Sums with More General Functions -- IV Quadratic Irrationalities -- {sect}1. Quadratic Numbers and Periodicity -- {sect}2. Units and Continued Fractions -- {sect}3. The Basic Asymptotic Estimate -- V The Exponential Function -- {sect}1. Some Continued Functions -- {sect}2. The Continued Fraction for e -- {sect}3. The Basic Asymptotic Estimate -- Appendix A Some Computations in Diophantine Approximations -- Appendix B Continued Fractions for Some Algebraic Numbers -- Appendix C Addendum to Continued Fractions for Some Algebraic Numbers.

بدون عنوان

0

متن يادداشت

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.

شماره استاندارد بين المللي کتاب و موسيقي

9781461287001

عنوان

Springer eBooks

موضوع مستند نشده

Mathematics.

موضوع مستند نشده

Number theory.

مستند نام اشخاص تاييد نشده

Lang, Serge.

مستند نام تنالگان تاييد نشده

SpringerLink (Online service)

تاريخ عمليات

20190307154500.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y