Enter your mobile number or email address below and we'll send you a link to download the free Kindle App. Then you can start reading Kindle books on your smartphone, tablet, or computer - no Kindle device required.
To get the free app, enter your email address or mobile phone number.
Applied Analysis (Dover Books on Mathematics) Paperback – June 23, 2010
Top 20 lists in Books
View the top 20 best sellers of all time, the most reviewed books of all time and some of our editors' favorite picks. Learn more
Frequently Bought Together
Customers Who Bought This Item Also Bought
More About the Author
Top Customer Reviews
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.
Written in 1956,foloowing assignments with then North american Aviation and the Boeing Airplane Company, the book is a compendium of compuational techniques for the solution of cubic, quartic and higher order algebraic equations, matrices and eigenvalue problems, large scale linear systems, harmonic analyis. An entire chapter of 65 pages is devoted to data analysis, the problems associates with processing large amounts of data, and some of the hidden dangers of straightforward(equidistant) interpolation. A chapter is devoted to quadrature methods, and the book concludes with a chapter on power expansions.
Most of the computational methods are devoted to hand calculation, or electro mechanical calculation. Today, algorithms developed specifically for high speed digital processors make most of these methods obsolete.
I bought the book because of an interest in Legendre polynomials, and their use in fitting to data. However, fascinating tidbits (at least to me) pop up unexpectedly. One tidbit that caught my eye was in the chapter on Data Analysis(Chapter V) in which the Sturm-Liouville equation suddenly appears, is solved by an application of Green's identity, and hence the result is a proof of the orthoganility of a class of equations (Legendre's being just one of several) in just two steps. Perhaps I missed something when I studied Series and Special Functions, but I've not seen this anywhere else.
A very pleasant characteristic of the book is the almost seamless movement back and forth between theory and computationl application.Read more ›
Most Recent Customer Reviews
The book arrived earlier than I expected, and it was easy for me to get it. The book is great and I like it.Published on February 23, 2013 by Yujia Chen
It's an excellent book. The best parts for
we were the chapters on Matrices and on
Harmonic Analysis. Read more