BOOK
Applied Functional Analysis
This textbook provides a rigorous introduction to functional analysis with a specific focus on Hilbert spaces and their practical applications. Balakrishnan views functional analysis as the essential language for addressing complex problems in system optimization, control systems, and mathematical economics. The text covers foundational topics such as linear operators, spectral theory, and semigroup theory, using these frameworks to model partial differential equations and stochastic processes without becoming lost in overly specific details. This second edition serves as a revised and enlarged version of the author's earlier work, bridging the gap between theoretical mathematics and the high level of mathematical sophistication required in modern engineering and science.
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