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Binding: HardcoverDewey Decimal Number: 515.7 EAN: 9780070542365 Edition: 2 ISBN: 0070542368 Label: McGraw-Hill Science/Engineering/Math Manufacturer: McGraw-Hill Science/Engineering/Math Number Of Items: 1 Number Of Pages: 448 Publication Date: January 01, 1991 Publisher: McGraw-Hill Science/Engineering/Math Studio: McGraw-Hill Science/Engineering/Math Editorial Review: Product Description: This classic text is written for graduate courses in functional analysis. This text is used in modern investigations in analysis and applied mathematics. This new edition includes up-to-date presentations of topics as well as more examples and exercises. New topics include Kakutani's fixed point theorem, Lamonosov's invariant subspace theorem, and an ergodic theorem. Average Rating:
 Rating:  - As a reference, this is nice, but as a book for first-time learners...I enjoy perusing Rudin's "Functional Analysis" at this stage in my life. It is fairly nice tome for functional analysis, and its general treatment of topological vector spaces (as opposed to the standard Banach space examples studied in a typical functional analysis class) is now well-received. However, as a student, I was put off by this book. At times, I found it difficult to tie the theory present to the basic examples which were relevant at the time (such as L^{p} spaces). For a ... Read More Rating:  - OutstandingHardly can I find words to highlight the goodness of this book. As mentioned by other readers ,it provides elegant, direct and powerfool proofs of the three theorems which constitute the cornserstones of functional analysis (Hanh-Banach, Banach-Steinhaus and Open mapping). These theorems are, in addition, studied in their most general context, namely topological vector spaces. Specially appealing is its treatment of distributions' theory. It is, as far as I know, the only text which ... Read More Rating: - Modern topics in math."Modern analysis" used to be a popular name for the subject of this lovely book. It is as important as ever, but perhaps less "modern". The subject of functional analysis, while fundamental and central in the landscape of mathematics, really started with seminal theorems due to Banach, Hilbert, von Neumann, Herglotz, Hausdorff, Friedrichs, Steinhouse,...and many other of, the perhaps less well known, founding fathers, in Central Europe (at the time), in the period between the two World Wars. In the ... Read More Rating: - The Bible on DistributionsNo other book covers the elements of distributions and the fourier transform quite like Rudin's Functional Analysis. This is a must for every budding PDE-er! Rating: - Uno de los mejores en Análisis FuncionalDe los excelentes textos en Análisis Funcional que existen en el mercado, éste es de los mejores. Tiene una excelente presentación de la Teoría de Distribuciones, en los capítulos 6, 7 y 8. La teoría espectral como se trata aca es magnifica. Tambien tiene un desarrollo muy completo sobre espacios vectoriales topológicos. Termina con una reseña bibliográfica muy completa. |
