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 engineering
Gives the reader a keen understanding of applied functional analysis, building progressively from simple background material to the deepest and most significant results
Introduces each new topic with a clear, concise explanation
Includes numerous examples linking fundamental principles with applications
Solidifies the reader's understanding with numerous end-of-chapter problems

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Introduces each new topic with a clear, concise explanation

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