A particular strength of the book is that it includes numerous applications. Besides being engaging and interesting in their own right, these applications also illustrate how the functional analysis is used in other parts of mathematics. The applications to problems from varied fields (PDEs, Fourier series, group theory, neural networks, topology, etc.) constitute a gratifying external motivation for studying functional analysis. There are also applications of the material to functional analytic problems (Lomonosov’s invariant subspace theorem, the spectral theorem, Stone’s theorem), showcasing the power of the results as well as the elegance and unity of the theory.
Features
- Rich variety of exercises
- Can be used as the primary textbook for a second course in functional analysis
- Emphasis on substantial and modern applications
A particular strength of the book is that it includes numerous applications. Besides being engaging and interesting in their own right, these applications also illustrate how the functional analysis is used in other parts of mathematics. The applications to problems from varied fields (PDEs, Fourier series, group theory, neural networks, topology, etc.) constitute a gratifying external motivation for studying functional analysis. There are also applications of the material to functional analytic problems (Lomonosov’s invariant subspace theorem, the spectral theorem, Stone’s theorem), showcasing the power of the results as well as the elegance and unity of the theory.
Features
- Rich variety of exercises
- Can be used as the primary textbook for a second course in functional analysis
- Emphasis on substantial and modern applications

The Analyst's Gambit: A Second Course in Functional Analysis
280
The Analyst's Gambit: A Second Course in Functional Analysis
280Product Details
ISBN-13: | 9781032286594 |
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Publisher: | CRC Press |
Publication date: | 10/31/2025 |
Pages: | 280 |
Product dimensions: | 6.12(w) x 9.19(h) x (d) |