The Markoff and Lagrange Spectra

(Mathematical Surveys and Monographs)

00435055_medium Author Thomas W. Cusick
Isbn 0821815318
File size 4.09MB
Year 1989
Pages 97
Language English
File format PDF
Category Mathematics

Book 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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