Diophantine Approximations and Diophantine Equations: 1467 (Lecture Notes in Mathematics, 1467) - Softcover

Schmidt, Wolfgang M.

Softcover

ISBN 10: 354054058X ISBN 13: 9783540540588

Publisher: Springer, 1991

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

About this title

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.

Edition details

• Publisher: Springer
• Publication date: 1991
• Language: English
• ISBN 10: 354054058X
• ISBN 13: 9783540540588
• Binding: Paperback
• Number of pages: 232