Diophantine Approximations and Diophantine Equations

Wolfgang M. Schmidt (auth.)354054058X, 9783540540588

“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

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Table of contents :
Siegel’s lemma and heights….Pages 1-33
Diophantine approximation….Pages 34-72
The thue equation….Pages 73-126
S-unit equations and hyperelliptic equations….Pages 127-175
Diophantine equations in more than two variables….Pages 176-204