Diophantine Approximations and Diophantine Equations (Paperback)

Wolfgang M. Schmidt

ISBN 10: 354054058X / ISBN 13: 9783540540588

Published by Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin, 1991

Paperback. This monograph 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. Reader require no background knowledge beyond a rudimentary understanding of algebraic number theory. "This book by a leading researcher and masterly expositor of the subject studies diophantine approximations to algebraic numbers and their applications to diophantine equations. In particular, Thue equations, norm form equations and S-unit equations, with emphasis on recent explicit bounds on the number of solutions, are included. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9783540540588

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

Product Description: This monograph 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. Reader require no background knowledge beyond a rudimentary understanding of algebraic number theory.

Bibliographic Details

Title: Diophantine Approximations and Diophantine ...
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin
Publication Date: 1991
Binding: Paperback
Condition: new
Edition: 1st Edition