Diophantine Approximations and Diophantine Equations / by Wolfgang M. Schmidt.

Format:

Book

Author/Creator:

Schmidt, Wolfgang M., author.

Contributor:

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1467.

Lecture Notes in Mathematics, 0075-8434 ; 1467

Language:

English

Subjects (All):

Number theory.

Ecology.

Geography.

Number Theory.

Geoecology/Natural Processes.

Earth Sciences, general.

Local Subjects:

Number Theory.

Geoecology/Natural Processes.

Earth Sciences, general.

Physical Description:

1 online resource (VIII, 224 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1991.

System Details:

text file PDF

Summary:

"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.

Contents:

Siegel's lemma and heights

Diophantine approximation

The thue equation

S-unit equations and hyperelliptic equations

Diophantine equations in more than two variables.

Other Format:

Printed edition:

ISBN:

9783540473749

Access Restriction:

Restricted for use by site license.