Diophantine analysis /

Diophantine analysis / Jṟn Steuding.

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 Anal...

Full description

Saved in:
Bibliographic Details
Online Access: Full Text (via Taylor & Francis)
Main Author: Steuding, Jṟn (Author)
Format: eBook
Language:English
Published: Boca Raton : Chapman & Hall/CRC, 2005.
Series:Discrete mathematics and its applications.
Subjects:
Diophantine analysis.
Table of Contents:
  • Chapter 1. Introduction : basic principles
  • chapter 2. Classical approximation theorems
  • chapter 3. Continued fractions
  • chapter 4. The irrationality of [zeta](3)
  • chapter 5. Quadratic irrationals
  • chapter 6. The Pell equation
  • chapter 7. Factoring with continued fractions
  • chapter 8. Geometry of numbers
  • chapter 9. Transcendental numbers
  • chapter 10. The theorem of Roth
  • chapter 11. The abc-conjecture
  • chapter 12. p-adic numbers
  • chapter 13. Hensel's lemma and applications
  • chapter 14. The local-global principle.

Similar Items