Diophantine analysis /

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...

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Bibliographic Details
Main Author:	Steuding, Jr̲n (Author)
Corporate Author:	Taylor & Francis
Format:	eBook
Language:	English
Published:	Boca Raton : Chapman & Hall/CRC, 2005.
Series:	Discrete mathematics and its applications.
Subjects:	Diophantine analysis. Analyse diophantienne. MATHEMATICS > Algebra > Intermediate. Diophantine analysis Electronic books.
Online Access:	Connect to the full text of this electronic book

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.