Alan Baker

Transcendental Number Theory

• Broschiertes Buch

Produktbeschreibung

First published in 1975, this classic book gives a systematic account of transcendental number theory, including the author's contributions and their many applications. For this edition, David Masser has written an introduction explaining Baker's achievement in broad strokes, and an afterword listing more recent developments related to Baker's work.

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Produktdetails

• Cambridge Mathematical Library
• Verlag: Cambridge University Press
• Revised ed
• Seitenzahl: 184
• Erscheinungstermin: 13. Mai 2022
• Englisch
• Abmessung: 229mm x 152mm x 10mm
• Gewicht: 286g
• ISBN-13: 9781009229944
• ISBN-10: 100922994X
• Artikelnr.: 63761060

Autorenporträt

Alan Baker was one of the leading British mathematicians of the past century. He took great strides in number theory by, among other achievements, obtaining a vast generalization of the Gelfond-Schneider Theorem and using it to give effective solutions to a large class of Diophantine problems. This work kicked off a new era in transcendental number theory and won Baker the Fields Medal in 1970.

Inhaltsangabe

Introduction David Masser
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 Shiegel-Shidlovsky theorems
12. Algebraic independence
Bibliography
Original papers
Further publications
New developments
Some Developments since 1990 David Masser
Index.