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Cambridge Mathematical Library: Transcendental Number Theory by Alan Baker (1975, Hardcover)

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About this product

Product Identifiers

PublisherCambridge University Press

ISBN-100521204615

ISBN-139780521204613

eBay Product ID (ePID)2205222

Product Key Features

Number of Pages157 Pages

Publication NameTranscendental Number Theory

LanguageEnglish

Publication Year1975

SubjectNumber Theory

TypeTextbook

AuthorAlan Baker

Subject AreaMathematics

SeriesCambridge Mathematical Library

FormatHardcover

Dimensions

Item Weight14.8 Oz

Additional Product Features

Intended AudienceScholarly & Professional

LCCN74-082591

Dewey Edition20

Dewey Decimal512.73

Table Of ContentPreface; 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.

SynopsisFirst 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 generalisation 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., 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.

LC Classification NumberQA247.5 .B24