Applied Analysis [Hardcover]

Cornelius Lanczos (Author)

Product Details

• Hardcover: 539 pages
• Publisher: Prentice Hall Inc (1956)
• Language: English
• ISBN-10: 1124078932
• ISBN-13: 978-1124078939
• Average Customer Review: 4.3 out of 5 stars  See all reviews (6 customer reviews)
• Amazon Best Sellers Rank: #3,076,013 in Books (See Top 100 in Books)

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Customer Reviews

Most Helpful Customer Reviews

28 of 28 people found the following review helpful:

5.0 out of 5 stars A Gem of an Applied Math Book, August 29, 1998

By 

reader 1001 - See all my reviews

This review is from: Applied Analysis (Dover Books on Mathematics) (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:

5.0 out of 5 stars Simply the best book on numerical analysis, May 18, 1999

By A Customer

This review is from: Applied Analysis (Dover Books on Mathematics) (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:

5.0 out of 5 stars If you don't want just recipes..., February 14, 2001

By 

henrique fleming - See all my reviews

This review is from: Applied Analysis (Dover Books on Mathematics) (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?