
Graduate Studies in Mathematics 2014; 372 pp; hardcover Volume: 156 ISBN10: 0821891715 ISBN13: 9780821891711 List Price: US$79 Member Price: US$63.20 Order Code: GSM/156
Not yet published.
Expected publication date is October 8, 2014. See also: Linear Functional Analysis  Joan Cerda Lecture Notes on Functional Analysis: With Applications to Linear Partial Differential Equations  Alberto Bressan Quantum Functional Analysis: NonCoordinate Approach  A Ya Helemskii  This book introduces functional analysis at an elementary level without assuming any background in real analysis, for example on metric spaces or Lebesgue integration. It focuses on concepts and methods relevant in applied contexts such as variational methods on Hilbert spaces, Neumann series, eigenvalue expansions for compact selfadjoint operators, weak differentiation and Sobolev spaces on intervals, and model applications to differential and integral equations. Beyond that, the final chapters on the uniform boundedness theorem, the open mapping theorem and the HahnBanach theorem provide a steppingstone to more advanced texts. The exposition is clear and rigorous, featuring full and detailed proofs. Many examples illustrate the new notions and results. Each chapter concludes with a large collection of exercises, some of which are referred to in the margin of the text, tailormade in order to guide the student digesting the new material. Optional sections and chapters supplement the mandatory parts and allow for modular teaching spanning from basic to honors track level. Request an examination or desk copy. Readership Graduate students interested in Fourier analysis. Table of Contents



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