Have one to sell? Sell on Amazon
Flip to back Flip to front
Listen Playing... Paused   You're listening to a sample of the Audible audio edition.
Learn more
See this image

Linear Differential Operators Paperback – July 10, 1997


See all 8 formats and editions Hide other formats and editions
Amazon Price New from Used from
Hardcover
"Please retry"
$19.52
Paperback, July 10, 1997
$54.99 $6.72

NO_CONTENT_IN_FEATURE
NO_CONTENT_IN_FEATURE

Product Details

  • Paperback: 576 pages
  • Publisher: Dover Publications (July 10, 1997)
  • Language: English
  • ISBN-10: 0486680355
  • ISBN-13: 978-0486680354
  • Product Dimensions: 8.3 x 5.4 x 1.1 inches
  • Shipping Weight: 1.3 pounds
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (7 customer reviews)
  • Amazon Best Sellers Rank: #525,535 in Books (See Top 100 in Books)

Editorial Reviews

Review

'This scholarly volume describes Lanczos' life (1893-1974) and presents a clear development of the many fields he opened. ... a collection of seven photographs of Lanczos from 1910 to 1972 ... is followed by a fascinating twenty-eight page annotated story, 'Cornelius Lanczos: A Biographical Essay', by Barbara Gellai. The fortuitous inclusion of this excellent biography makes the Proceedings a more complete and desirable volume!' Mathematics of Computation --This text refers to an alternate Paperback edition.

Book Description

If you are interested in numerical analysis, applied mathematics, or the solution procedures for differential equations, you will find this book useful. Because of Lanczos' style of describing mathematical facts in nonmathematical language, Linear Differential Operators also will be helpful to nonmathematicians interested in applying the methods and techniques described. --This text refers to an alternate Paperback edition.

More About the Author

Discover books, learn about writers, read author blogs, and more.

Customer Reviews

5.0 out of 5 stars
5 star
7
4 star
0
3 star
0
2 star
0
1 star
0
See all 7 customer reviews
Share your thoughts with other customers

Most Helpful Customer Reviews

18 of 18 people found the following review helpful By A Customer on May 18, 2000
Format: Paperback
A very intuitive (geometrical) exposition of matrix calculus, adjoint problems, bilinear identity and Green's function (and more). If you really want to understand these concepts, read this masterpiece!
Comment Was this review helpful to you? Yes No Sending feedback...
Thank you for your feedback. If this review is inappropriate, please let us know.
Sorry, we failed to record your vote. Please try again
14 of 14 people found the following review helpful By Bahram Houchmandzadeh on November 22, 2007
Format: Paperback
As the other reviewers have said, this is a master piece for various reasons. Lanczos is famous for his work on linear operators (and efficient algorithms to find a subset of eigenvalues). Moreover, he has an "atomistic" (his words) view of differential equations, very close to the founding father's one (Euler, Lagrange,...).

A modern book on linear operators begins with the abstract concept of function space as a vector space, of scalar product as integrals,... The approach is powerful but somehow we loose our good intuition about differential operators.

Lanczos begins with the simplest of differential equations and use a discretization scheme (very natural to anybody who has used a computer to solve differential equations) to show how a differential equation transforms into a system a linear algebraic equation. It is then obvious that this system is undetermined and has to be supplemented by enough boundary condition to be solvable. From here, during the third chapters, Lanczos develops the concept of linear systems and general (n x m) matrices, the case of over and under determination, the compatibility conditions, ...
It is only after these discussions that he returns (chapter 4) to the function space and develops the operator approach and the role of boundary conditions in over and under-determination of solutions and the place of the adjoint operators. The remaining of the book develops these concepts : chp5 is devoted to Green's function and hermitian problems, chap7 to Sturm-Liouville,... The last chapter is devoted to numerical techniques, amazing if one think that the book was written at the very beginning of computers, which is a gem by itself.
Comment Was this review helpful to you? Yes No Sending feedback...
Thank you for your feedback. If this review is inappropriate, please let us know.
Sorry, we failed to record your vote. Please try again
20 of 24 people found the following review helpful By A Customer on July 6, 1999
Format: Paperback
Some mathematics and physics writers stand head and shoulders above the rest. Goldstein...Liboff...Morrison...Morse and Feshbach...and Lanczos. A joy to read, if you are both mathematically and verbally inclined.
Comment Was this review helpful to you? Yes No Sending feedback...
Thank you for your feedback. If this review is inappropriate, please let us know.
Sorry, we failed to record your vote. Please try again
7 of 7 people found the following review helpful By hardly_b on August 16, 2006
Format: Paperback
This book has material I've found in no other book. Lanczos is a pleasure to read -- his writing is clear, elegant, and entertainingly opinionated. I've liked every book of his that I've read.
Comment Was this review helpful to you? Yes No Sending feedback...
Thank you for your feedback. If this review is inappropriate, please let us know.
Sorry, we failed to record your vote. Please try again

Customer Images

Search

What Other Items Do Customers Buy After Viewing This Item?