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

Schmidt, Wolfgang M.

ISBN 10: 354054058X / ISBN 13: 9783540540588

Published by Springer, 1991

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Seller Inventory # Q-354054058X

Bibliographic Details

• Title: Diophantine Approximations and Diophantine Equations (Lecture Notes in Mathematics, 1467)
• Publisher: Springer
• Publication Date: 1991
• Language: English
• ISBN 10: 354054058X
• ISBN 13: 9783540540588
• Binding: paperback
• Condition: New
• Weight: 12 ounces

About this title

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.