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25 Remote Warehouse Mathematics- Number Theory

Transcendental Number Theory

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Transcendental Number Theory Cover

 

Synopses & Reviews

Publisher Comments:

First published in 1975, this classic book gives a systematic account of transcendental number theory, that is those numbers which cannot be expressed as the roots of algebraic equations having rational coefficients. Their study has developed into a fertile and extensive theory enriching many branches of pure mathematics. Expositions are presented of theories relating to linear forms in the logarithms of algebraic numbers, of Schmidt's generalization of the Thue-Siegel-Roth theorem, of Shidlovsky's work on Siegel's E-functions and of Sprindzuk's solution to the Mahler conjecture. The volume was revised in 1979, however Professor Baker has taken this further opportunity to update the book including new advances in the theory and many new references.

Synopsis:

Gives a systematic account of transcendental number theory.

Synopsis:

This classic book gives a systematic account of transcendental number theory, that is numbers which cannot be expressed as the roots of algebraic equations having rational coefficients. The updated volume includes new advances in the theory and many new references.

Synopsis:

A systematic account of transcendental number theory, or those numbers which cannot be expressed as the roots of algebraic equations having rational coefficients. First published in 1975 and revised in 1979.

Synopsis:

An update of the classic book giving a systematic account of transcendental number theory.

Description:

Includes bibliographical references (p. 129) and index. "Original papers": p. 130-144.

Table of Contents

Preface; 1. The origins; 2. Linear forms in logarithms; 3. Lower bounds for linear forms; 4. Diophantine equations; 5. Class numbers of imaginary quadratic fields; 6. Elliptic functions; 7. Rational approximations to algebraic numbers; 8. Mahler's classification; 9. Metrical theory; 10. The exponential function; 11. The Siegel-Shidlovsky theorems; 12. Algebraic independence; Bibliography; Original papers; Further publications; New developments; Index.

Product Details

ISBN:
9780521397919
Preface:
Baker, Alan
Author:
Baker, Alan
Publisher:
Cambridge University Press
Location:
Cambridge ;
Subject:
General
Subject:
Mathematics
Subject:
Number Theory
Subject:
Numbers, transcendental
Subject:
Transcendental numbers.
Subject:
Transcendental numbers -- Bibliography.
Subject:
Mathematics-Number Theory
Edition Description:
Trade paper
Series:
Cambridge mathematical library
Series Volume:
no. 24
Publication Date:
19900931
Binding:
TRADE PAPER
Grade Level:
College/higher education:
Language:
English
Illustrations:
Yes
Pages:
176
Dimensions:
9.00x4.48x.47 in. .64 lbs.

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Related Subjects

Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Number Theory

Transcendental Number Theory New Trade Paper
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$56.95 In Stock
Product details 176 pages Cambridge University Press - English 9780521397919 Reviews:
"Synopsis" by , Gives a systematic account of transcendental number theory.
"Synopsis" by , This classic book gives a systematic account of transcendental number theory, that is numbers which cannot be expressed as the roots of algebraic equations having rational coefficients. The updated volume includes new advances in the theory and many new references.
"Synopsis" by , A systematic account of transcendental number theory, or those numbers which cannot be expressed as the roots of algebraic equations having rational coefficients. First published in 1975 and revised in 1979.
"Synopsis" by , An update of the classic book giving a systematic account of transcendental number theory.
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