Diophantine Approximation (Lecture Notes in Mathematics (785))

Schmidt, W.M.

ISBN 10: 3540097627 / ISBN 13: 9783540097624

Editore: Springer, 1980

Very Good. Codice articolo ERICA79735400976276

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)

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.

Dati bibliografici

Titolo: Diophantine Approximation (Lecture Notes in ...
Casa editrice: Springer
Data di pubblicazione: 1980
Legatura: Paperback
Condizione: Very Good
Edizione: seconda edizione
Tipologia articolo: book