Diophantine Approximation (Lecture Notes in Mathematics): 785 - Brossura

Schmidt, Wolfgang M.

Brossura

ISBN 10: 3540097627 ISBN 13: 9783540097624

Casa editrice: Springer, 1980

Riassunto

In 1970, at the U. of Colorado, the author delivered a course of lectures on his famous generalization, then just established, relating to Roth's theorem on rational approximations to algebraic numbers. The present volume is an expanded and up-dated version of the original mimeographed notes on the course. As an introduction to the author's own remarkable achievements relating to the Thue-Siegel-Roth theory, the text can hardly be bettered and the tract can already be regarded as a classic in its field (Bull.LMS) "Schmidt's work on approximations by algebraic numbers belongs to the deepest and most satisfactory parts of number theory. These notes give the best accessible way to learn the subject. . . . this book is highly recommended" (Mededelingen van het Wiskundig Genootschap)

Su questo libro

Contenuti

Approximation to Irrational Numbers by Rationals.- Simultaneous Approximation.- Games and Measures.- Integer Points in Parallelepipeds.- Roth’s Theorem.- Simultaneous Approximation to Algebraic Numbers.- Norm Form Equations.- Approximation By Algebraic Numbers.

Dettagli dell'edizione

• Editore: Springer
• Data di pubblicazione: 1980
• Lingua: Inglese
• ISBN 10: 3540097627
• ISBN 13: 9783540097624
• Rilegatura: Copertina flessibile
• Numero di pagine: 312
• Contatto del produttore: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Germania