The Markoff and Lagrange Spectra
Author： Thomas W. Cusick;Mary E. Flahive
Publisher： American Mathematical Society
Publication year： 1989
E-ISBN: 9781470412579
P-ISBN(Paperback): 9780821815311
P-ISBN(Hardback): 9780821815311
Subject： O156.1 Elementary Number Theory
Keyword： Number Theory
Language： ENG
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
The Markoff and Lagrange Spectra
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.