"This book by a leading researcher and masterly expositor of the subject studies diophantine approximations to algebraic numbers and their applications to diophantine equations. The methods are classical, and the results stressed can be obtained without much background in algebraic geometry. In part
Diophantine Approximations and Diophantine Equations
β Scribed by Wolfgang M. Schmidt (auth.)
- Book ID
- 127451825
- Publisher
- Springer
- Year
- 1991
- Tongue
- English
- Weight
- 7 MB
- Edition
- 1
- Category
- Library
- City
- Berlin; New York
- ISBN
- 3540473742
No coin nor oath required. For personal study only.
β¦ Synopsis
"This book by a leading researcher and masterly expositor of the subject studies diophantine approximations to algebraic numbers and their applications to diophantine equations. The methods are classical, and the results stressed can be obtained without much background in algebraic geometry. In particular, Thue equations, norm form equations and S-unit equations, with emphasis on recent explicit bounds on the number of solutions, are included. The book will be useful for graduate students and researchers." (L'Enseignement Mathematique) "The rich Bibliography includes more than hundred references. The book is easy to read, it may be a useful piece of reading not only for experts but for students as well." Acta Scientiarum Mathematicarum
β¦ Subjects
Number Theory
π SIMILAR VOLUMES
This self-contained treatment covers basic results on homogeneousapproximation of real numbers; the analogue for complex numbers; basic results for nonhomogeneous approximation in the real case; the analogue for complex numbers; and fundamental properties of the multiples of an irrational number, fo