Author	Schmidt, Wolfgang M. author
Title	Diophantine Approximations and Diophantine Equations [electronic resource] / by Wolfgang M. Schmidt
Imprint	Berlin, Heidelberg : Springer Berlin Heidelberg, 1991
Connect to	http://dx.doi.org/10.1007/BFb0098246
Descript	VIII, 224 p. online resource

"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

Siegelโs lemma and heights -- Diophantine approximation -- The thue equation -- S-unit equations and hyperelliptic equations -- Diophantine equations in more than two variables

1. Mathematics
2. Earth sciences
3. Number theory
4. Geoecology
5. Environmental geology
6. Mathematics
7. Number Theory
8. Geoecology/Natural Processes
9. Earth Sciences
10. general