Includes sections on the spectral resolution and spectral representation of self adjoint operators, invariant subspaces, strongly continuous one-parameter semigroups, the index of operators, the trace formula of Lidskii, the Fredholm determinant, and more. * Assumes prior knowledge of Naive set theory, linear algebra, point set topology, basic complex variable, and real variabl...(展开全部)

Review "...a highly satisfactory text on methods for categorical response variables...more complete and technical [than the First Edition]..." -- IIE Transactions on Quality and Reliability Engineering "...this classic book is substantially modified and expanded..." -- International Journal of General Systems, Vol. 32, 2003 "...written in a highly scientific but vivid style, in...(展开全部)

This book is an introductory text in functional analysis. Unlike many modern treatments, it begins with the particular and works its way to the more general. From the reviews: "This book is an excellent text for a first graduate course in functional analysis...Many interesting and important applications are included...It includes an abundance of exercises, and is written in the...(展开全部)

Praise for the First Edition "This is a superb text from which to teach categorical data analysis, at a variety of levels. . . [t]his book can be very highly recommended." — Short Book Reviews "Of great interest to potential readers is the variety of fields that are represented in the examples: health care, financial, government, product marketing, and sports, to name a few."...(展开全部)

Based on the authors' courses and lectures, this 2-volume advanced-level text is now available in a single volume. Topics include metric and normed spaces, continuous curves in metric spaces, measure theory, Lebesque interval, Hilbert Space and more. Each section contains exercises. Lists of symbols, definitions and theorems. 1957 edition.

Functional analysis owes much of its early impetus to problems that arise in the calculus of variations. In turn, the methods developed there have been applied to optimal control, an area that also requires new tools, such as nonsmooth analysis. This self-contained textbook gives a complete course on all these topics. It is written by a leading specialist who is also a noted ex...(展开全部)