An Introduction to Hilbert Space

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Focusing on the theory of Hilbert space, this textbook serves as a comprehensive introduction for students and professionals in mathematics and engineering. It emphasizes practical applications, particularly in solving partial differential equations and function approximation in complex analysis. With a self-contained structure, it assumes some prior knowledge in real analysis, linear algebra, and metric spaces. The text includes numerous examples and exercises, making it suitable for both undergraduate and graduate studies, as well as for electrical engineers and physicists in control theory and filter design.