Applications of Functional Analysis and Operator Theory

ISBN: 9780444517906 出版年：2005 页码：442 Hutson, V Pym, J Cloud, M Elsevier Science_Series

Functional analysis is a powerful tool when applied to mathematical problems arising from physical situations. The present book provides, by careful selection of material, a collection of concepts and techniques essential for the modern practitioner. Emphasis is placed on the solution of equations (including nonlinear and partial differential equations). The assumed background is limited to elementary real variable theory and finite-dimensional vector spaces. Provides an ideal transition between introductory math courses and advanced graduate study in applied mathematics, the physical sciences, or engineeringGives the reader a keen understanding of applied functional analysis, building progressively from simple background material to the deepest and most significant resultsIntroduces each new topic with a clear, concise explanationIncludes numerous examples linking fundamental principles with applicationsSolidifies the reader's understanding with numerous end-of-chapter problems