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Linear Operator Theory in Engineering and Science (Applied Mathematical Sciences) [Englisch] [Taschenbuch]

Arch W. Naylor

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Kurzbeschreibung

4. Oktober 2013 038795001X 978-0387950013 1st ed. 1982. 2nd printing 2000
A unique introduction to the theory of linear operators on Hilbert space. The author presents the basic facts of functional analysis in a form suitable for engineers, scientists, and applied mathematicians. Although the Definition-Theorem-Proof format of mathematics is used, careful attention is given to motivation of the material covered and many illustrative examples are presented.

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A.W. Naylor and G.R. Sell

Linear Operator Theory in Engineering and Science

"Vivid and easily understandable . . . numerous exercises . . . have greatly advanced the understanding of material presented in the book . . . can be used by students with various level of preparation with different interests, as well as a textbook for a senior-level courses."—ZENTRALBLATT MATH

Synopsis

This book is a unique introduction to the theory of linear operators on Hilbert space. The authors' goal is to present the basic facts of functional analysis in a form suitable for engineers, scientists, and applied mathematicians. Although the Definition-Theorem-Proof format of mathematics is used, careful attention is given to motivation of the material covered and many illustrative examples are presented. First published in 1971, "Linear Operator in Engineering and Sciences" has since proved to be a popular and very useful textbook.

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Amazon.com: 5.0 von 5 Sternen  5 Rezensionen
15 von 15 Kunden fanden die folgende Rezension hilfreich
5.0 von 5 Sternen Thorough, clear and very relevant for engineering students 21. Juni 2006
Von M. Selekwa - Veröffentlicht auf Amazon.com
Format:Taschenbuch
At graduate school, I was required to take only 9 credit units in advanced Mathematics. Most of my credits were on Numerical Analysis, Mathematical Optimization and Linear Algebra. However, as I started covering advanced courses in dynamical systems, robust control and nonlinear systems, I found that I really needed strong foundations in Functional Analysis. I audited one course in Functional Analysis where we used the classic Rudin text. However, the pace of that class was too fast for me and I virtually learnt nothing. So I graduated with a handicap that I was unable to handle most rigorous problems. Knowing my handicap, I bought several books on this subject; I did not want to spend too much money, so each book did not cost more than $50 on Amazon marketplace. At first it was very disappointing because each book that I bought was written in the traditional format of Definition-Theorem-Proof without explaining the basic concepts. The last book to buy was this one which I read chapter by chapter from page one to the last page for about four months every evening. I believe this will be my last book on functional analysis, because it has provided what I have been looking for.

The book is well organized, and it provides detailed discussion on each topic followed with numerous and easy to understand examples that are directly related to physical systems. The reader can visualize the concepts by relating to physical systems, which is what engineering students want. After four months of evening reading, it is amazing that now I can tackle all analysis problems that used to intimidate me. This book is a must for all graduate students whose major covers dynamical systems, controls, nonlinear systems or signal processing.
14 von 14 Kunden fanden die folgende Rezension hilfreich
5.0 von 5 Sternen An eminently readable functional analysis book 12. Juni 2000
Von UNPINGCO - Veröffentlicht auf Amazon.com
Format:Taschenbuch
An eminently readable functional analysis book including an appendix on measure theory and probability spaces. The text covers the material without explicit development of the Lebesgue integral. The notation and typesetting are very clean and the section on spectral analysis is unusually good. The proofs are very clean and complete with numerous illustrative engineering examples and diagrams. I recommend this book for graduate level engineering students.
9 von 9 Kunden fanden die folgende Rezension hilfreich
5.0 von 5 Sternen Excellent applied functional analysis text 11. April 2003
Von David Elder - Veröffentlicht auf Amazon.com
Format:Taschenbuch
This is a great book for the applied mathematician, scientist, or engineer who wants an applicable and not overly formal introduction to functional analysis. Many examples illustrating the use of the techniques are given throughout. The text is quite readable, with a unique organization introducing algebraic, topological, and combined algebraic-topological structures and their associated theory. The book presents functional analysis without explicitly relying on the Lebesgue integral, although a well-written appendix covers Lebesgue integration and some related concepts from real variable theory. I would have appreciated more discussion of differential equations, but overall this is a very well-written book and a worthy purchase.
5.0 von 5 Sternen this is the best and most underappreciated introduction to functional analysis for engineers ... 10. Juli 2014
Von Santiago P. - Veröffentlicht auf Amazon.com
Format:Taschenbuch
Seriously, this is the best and most underappreciated introduction to functional analysis for engineers I've ever seen!
5.0 von 5 Sternen i would give 6 stars! 26. Februar 2012
Von Char - Veröffentlicht auf Amazon.com
Format:Taschenbuch|Verifizierter Kauf
I'm doing a PhD in econometrics and I need to apply operator theories in constructing a linear or nonlinear operator to help explain individual economic behaviour. This book contains numerous useful ideas and applications with exercises thoroughly designed; one of the questions in the exercise gave me an idea of creating a matrix for describing a nonlinear operator. That question asks for a matrix that describes a second order differential operator and that gave me an idea that taylor series approximation can be used to linearise a nonlinear operator and hence a nonlinear operator may also be described by a matrix.
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