Applications of Functional Analysis and Operator Theory

Introduces each new topic with a clear, concise explanation

Functional analysis is a powerful tool when applied to mathematical problems arising from physical situations. This book presents the reader with a keen understanding of applied functional analysis, building progressively from simple background material to the deepest and most significant results.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.