Excellent treatment of subject geared toward students with background in linear algebra, advanced calculus, physics and engineering. Text covers introduction to inner-product spaces, normed, metric spaces, and topological spaces; complete orthonormal sets, the Hahn-Banach Theorem and its consequences, and many other related subjects. Includes detailed proofs of theorems, bibliography, and index of symbols. 1966 edition.
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16 of 17 people found the following review helpful:
5.0 out of 5 stars
Bachman and Narici's Functional Analysis,
This review is from: Functional Analysis (Dover Books on Mathematics) (Paperback)
I find Bachman and Narici's book to be an excellent introduction to functional analysis for students who have had a graduate level linear algebra course and some introduction to measure theory. I completed a course in real analysis last year, and I wish I had immediately begun using this book. It seems to me to be somewhat less difficult than the real analysis course, based on Rudin, while reinforcing and building on topics that were introduced in real analysis and other masters level courses. Bachman and Narici's book seems to me to be a bit easier to follow than other functional analysis books, and to bridge the gap between what I already know and more difficult treatments of functional analysis. The book is excellent for self-study and would probably also serve well for a course.
8 of 8 people found the following review helpful:
5.0 out of 5 stars
Clear and organised presentation,
By Real review "Math is great" (rochester, NY) - See all my reviews
This review is from: Functional Analysis (Dover Books on Mathematics) (Paperback)
This book is perhaps the most organized in this field. It is very well written, the presentation really helps build the concepts elegantly and methodically. It is a must have for any one who is interested in learning functional analysis. Some advanced users may find that the book builds a bit slow but it will really help for those who are new in the field.
0 of 2 people found the following review helpful:
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This review is from: Functional Analysis (Dover Books on Mathematics) (Paperback)
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100
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- Topological Vector Spaces (Chapman & Hall/CRC Pure and Applied Mathematics) by Lawrence Narici on 4 pages
- Encyclopedia of Computer Science and Technology: Volume 8 - Earth and Planetary Sciences to General Systems (Computer Science and Technology Encyclopedia) by Jack Belzer on page 304, and page 324
- Mathematik für Naturwissenschaften und Informatik Teil I ( Paperback) on page 86, and Back Matter
- Stability by Liapunov's Matrix Function Method with Applications (Pure and Applied Mathematics) (Chapman & Hall/CRC Pure and Applied Mathematics) by A.A. Martynyuk in Front Matter
- Qualitative Theory of Dynamical Systems (Pure and Applied Mathematics) by Anthony Michel in Front Matter
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