Diophantine Analysis
eBook - PDF

Diophantine Analysis

  1. 280 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Diophantine Analysis

Book details
Table of contents
Citations

About This Book

While its roots reach back to the third century, diophantine analysis continues to be an extremely active and powerful area of number theory. Many diophantine problems have simple formulations, they can be extremely difficult to attack, and many open problems and conjectures remain. Diophantine Analysis examines the theory of diophantine ap

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Yes, you can access Diophantine Analysis by Jorn Steuding in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.

Information

Year
2005
ISBN
9781420057201
Edition
1

Table of contents

  1. Front cover
  2. Contents
  3. Preface
  4. CHAPTER 1. Introduction: basic principles
  5. CHAPTER 2. Classical approximation theorems
  6. CHAPTER 3. Continued fractions
  7. CHAPTER 4. The irrationality of ζ(3)
  8. CHAPTER 5. Quadratic irrationals
  9. CHAPTER 6. The Pell equation
  10. CHAPTER 7. Factoring with continued fractions
  11. CHAPTER 8. Geometry of numbers
  12. CHAPTER 9. Transcendental numbers
  13. CHAPTER 10. The theorem of Roth
  14. CHAPTER 11. The abc-conjecture
  15. CHAPTER 12. p-adic numbers
  16. CHAPTER 13. Hensel’s lemma and applications
  17. CHAPTER 14. The local–global principle
  18. APPENDIX A. Algebra and number theory
  19. Bibliography
  20. Back cover