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

Arch W. Naylor (Author), George R. Sell (Author)

Book Description

ISBN-10: 0387907483 | ISBN-13: 978-0387907482 | Publication Date: September 2, 1994

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.

Editorial Reviews

Review

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

Product Details

• Hardcover: 624 pages
• Publisher: Springer (September 2, 1994)
• Language: English
• ISBN-10: 0387907483
• ISBN-13: 978-0387907482
• Product Dimensions: 9.6 x 6.4 x 1.4 inches
• Shipping Weight: 2.3 pounds (View shipping rates and policies)
• Average Customer Review: 5.0 out of 5 stars  See all reviews (7 customer reviews)
• Amazon Best Sellers Rank: #2,553,278 in Books (See Top 100 in Books)

Customer Reviews

Most Helpful Customer Reviews

12 of 12 people found the following review helpful:

5.0 out of 5 stars An eminently readable functional analysis book, June 12, 2000

By 

UNPINGCO (Los Angeles, CA) - See all my reviews

This review is from: Linear Operator Theory in Engineering and Science (Applied Mathematical Sciences) (Paperback)

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.

11 of 11 people found the following review helpful:

5.0 out of 5 stars Thorough, clear and very relevant for engineering students, June 20, 2006

By 

M. Selekwa "Book worm" (Fargo, ND USA) - See all my reviews
(REAL NAME)   

This review is from: Linear Operator Theory in Engineering and Science (Applied Mathematical Sciences) (Paperback)

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.

7 of 7 people found the following review helpful:

5.0 out of 5 stars Enlightening for mathematicians, scientists, and engineers, April 7, 2000

By 

Bernardo Vargas - See all my reviews

This review is from: Linear Operator Theory in Engineering and Science (Applied Mathematical Sciences) (Hardcover)

This is one of my favourite introductory books on functional analysis because it includes all the fundamental concepts needed to get a thorough understanding of the most important topics in this theory. It stresses which properties come from which structure (set-theoretic, topological, or algebraic), and gives a complete exposition of the main results on bounded and unbounded operators, meanwhile discussing some interesting examples of application. Its appendices on integration, probability and stochastic processes are also valuable. The text is suitable for undergraduate analysis and functional analysis courses. Scientists and engineers will find it very useful also because of its non-pedantic style.

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