Transcendental Number Theory
eBook - PDF

Transcendental Number Theory

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Transcendental Number Theory

About this book

First published in 1975, this classic book gives a systematic account of transcendental number theory, that is, the theory of those numbers that cannot be expressed as the roots of algebraic equations having rational coefficients. Their study has developed into a fertile and extensive theory, which continues to see rapid progress today. 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 Sprindžuk's solution to the Mahler conjecture. This edition includes an introduction written by David Masser describing Baker's achievement, surveying the content of each chapter and explaining the main argument of Baker's method in broad strokes. A new afterword lists recent developments related to Baker's work.

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Yes, you can access Transcendental Number Theory by Alan Baker in PDF and/or ePUB format, as well as other popular books in Mathematics & Number Theory. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover
  2. Half-title
  3. Series information
  4. Title page
  5. Copyright infromation
  6. Contents
  7. Introduction by David Masser
  8. Preface
  9. 1 The origins
  10. 2 Linear forms in logarithms
  11. 3 Lower bounds for linear forms
  12. 4 Diophantine equations
  13. 5 Class numbers of imaginary quadratic fields
  14. 6 Elliptic functions
  15. 7 Rational approximations to algebraic numbers
  16. 8 Mahler's classification
  17. 9 Metrical theory
  18. 10 The exponential function
  19. 11 The Siegel-Shidlovsky theorems
  20. 12 Algebraic independence
  21. Bibliography
  22. Original papers
  23. Further publications
  24. New developments
  25. Some developments since 1990 by David Masser
  26. Index