The first edition of this book gave a systematic exposition of the
Weinstein method of calculating lower bounds of eigenvalues by
means of intermediate problems. From the reviews of this edition
and from subsequent shorter expositions it has become clear that
the method is of considerable interest to the mathematical world;
this interest has increased greatly in recent years by the success
of some mathematicians in simplifying and extending the numerical
applications, particularly in quantum mechanics. Until now new
developments have been available only in articles scattered
throughout the literature: this second edition presents them
systematically in the framework of the material contained in the
first edition, which is retained in somewhat modified form.
General
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