ENGLISH

The Markoff and Lagrange Spectra

By Thomas W. Cusick , Mary E. Flahive

Book information

Publisher
American Mathematical Society
Year
1989
ISBN
9780821815311, 0821815318
LCC
QA242 .C84 1989
Open Library ID
OL2195358M
Language
english
Format
DJVU
Filesize
606 kB (620641 bytes)
Series
Mathematical Surveys and Monographs; 30
Pages
105\105
Library
Kolxo3
DPI
300
Time added
2009-12-04 00:34:26

Description

This book is directed at mathematicians interested in Diophantine approximation and the theory of quadratic forms and the relationship of these subjects to Markoff and Lagrange spectra. The authors have gathered and systemized numerous results from the diverse and scattered literature, much of which has appeared in rather inaccessible Russian publications. Readers will find a comprehensive overview of the theory of the Markoff and Lagrange spectra, starting with the origins of the subject in two papers of A. Markoff from 1879-80. Most of the progress since that time has occurred in the last 20 years or so, when there has been a resurgence of interest in these spectra. The authors provide an excellent exposition of these developments, in addition to presenting many proofs and correcting various errors in the literature.

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