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Brand new. We distribute directly for the publisher. Much of the importance of mathematics lies in its ability to provide theories which are useful in widely different fields of
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endeavor. A good example is the large and amorphous body of knowledge known as "the theory of linear operators" or "operator theory", which came to life about a century ago as a theory to encompass properties common to matrix, differential, and integral operators. Thus, it is a primary purpose of operator theory to provide a coherent body of knowledge which can explain phenomena common to the enormous variety of problems in which such linear operators play a part. The theory is a vital part of "functional analysis", whose methods and techniques are one of the major advances of twentieth century mathematics and now play a pervasive role in the modeling of phenomena in probability, imaging, signal processing, systems theory, etc., as well as in the more traditional areas of theoretical physics and mechanics.This book is based on lectures presented at a meeting on operator theory and its applications held at the Fields Institute in the fall of 1994. The purpose of the meeting was to provide introductory lectures on some of the methods being used and problems being tackled in current research involving operator theory.
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Overview
Much of the importance of mathematics lies in its ability to provide theories which are useful in widely different fields of endeavor. A good example is the large and amorphous body of knowledge known as ''the theory of linear operators'' or ''operator theory'', which came to life about a century ago as a theory to encompass properties common to matrix, differential, and integral operators. Thus, it is a primary purpose of operator theory to provide a coherent body of knowledge which can explain phenomena common to the enormous variety of problems in which such linear operators play a part. The theory is a vital part of ''functional analysis'', whose methods and techniques are one of the major advances of twentieth century mathematics and now play a pervasive role in the modeling of phenomena in probability, imaging, signal processing, systems theory, etc., as well as in the more traditional areas of theoretical physics and mechanics. This book is based on lectures presented at a meeting on operator theory and its applications held at the Fields Institute in the fall of 1994. The purpose of the meeting was to provide introductory lectures on some of the methods being used and problems being tackled in current research involving operator theory.
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Four lectures from a September 1994 meeting at the Field's Institute in Canada, designed to introduce graduate students and senior researchers to some of the methods being used and some of the problems being tackled in current research involving operator theory. They cover infinite matrices and projection methods, ordinary differential operators, operators on indefinite inner product spaces, and the state space theory of rational matrix functions and applications. Each keeps to its own notation and format and supplies a bibliography, but a general index is supplied. Annotation c. Book News, Inc., Portland, OR (booknews.com)Product Details
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