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Product Description
Basic text for graduate and advanced undergraduate deals with search for roots of algebraic equations encountered in vibration and flutter problems and in those of static and dynamic stability. Other topics devoted to matrices and eigenvalue problems, large-scale linear systems, harmonic analysis and data analysis, more.
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6 reviews
30 of 30 people found the following review helpful
A Gem of an Applied Math Book
29 Aug 1998
Format:Paperback
While this booked is dated because it was written for the days of mechanical calculators, it contains a great deal of very useful material. His discussion of Chebyeshev Polynomials one of the best I seen. His discussion on telescoping of power series is one of the few available. He gives great insight into a host of numerical methods. A very valuable work for the computer age as well.
31 of 32 people found the following review helpful
Simply the best book on numerical analysis
18 May 1999
Format:Paperback
My dissertation advisor introduced me to this book over thirty years ago. I have since read it in its entirety twice and it is still the first book I consult when confronted with a new mathematical problem.
Lanczos's understanding of applied mathematics is very deep and he has a rare way of explaining things clearly yet concisely. I find his description of linear systems in terms of multidimensional coordinate systems, both orthogonal and skewed, to be the best anywhere. Also, his understanding and explanation of harmonic analysis (he invented the FFT after all) is worth the price of the book by itself.
Buy it, read it (at least once) then see if really need any other book on applied mathematics.
15 of 18 people found the following review helpful
If you don't want just recipes...
14 Feb 2001
Format:Paperback
Then this is the best book. Well, Hamming's is also so good! For Fourier analysis, and the taming of the Gibbs phenomenon, go straight to Lanczos. He knew it all, and was one of the inventors of the fast Fourier transform. This book is in the class of Sommerfeld's "Partial Differential Equations of Physics" and Lighthill's "Fourier Analysis and Generalizaed Functions". This is a very high compliment. Did you know he was also a first rate physicist, and a pioneer of quantum mechanics?
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