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Topics in advanced scientific computation

Author: Richard E Crandall
Publisher: New York, N.Y. : Springer-Telos, ©1996.
Edition/Format:   Print book : EnglishView all editions and formats
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The theme of this text is "hard computational problems made accessible". It is a collection of essays on modern computational problems whose solutions are difficult, if not impossible, to achieve and  Read more...

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Additional Physical Format: Online version:
Crandall, Richard E., 1947-
Topics in advanced scientific computation.
New York, N.Y. : Springer-Telos, ©1996
(OCoLC)622296627
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Richard E Crandall
ISBN: 0387944737 9780387944739
OCLC Number: 34746167
Notes: "Online files."
Description: ix, 340 pages : illustrations ; 24 cm
Contents: 1. Selected numerical algorithms. Variants of the Newton method. Fast divide and mod algorithms. Fast multiplication. Matrix algebra. Polynomial arithmetic --
2. Evaluation of constants & functions. Celebrated constants. Riemann zeta function. Multidimensional sums. Examples of special function evaluation --
3. Number-theoretical algorithms. Primes. Bernoulli numbers. Factoring. Fermat numbers --
4. Transforms. FFT and related algorithms. Walsh-Hadamard transform. Wavelets. Convolution --
5. Nonlinear & complex systems. N-body problems & chaos. Nonlinear differential systems. Fractal analysis. Learning algorithms. An old & beautiful nonlinear system --
6. Data manipulation. Signal synthesis, detection and modeling. General data compression. Sound and image compression.
Other Titles: Advanced scientific computation
Responsibility: Richard E. Crandall.
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"This book is a fascinating glimpse into the mathematical and algorithmic byways into which one may be led from areas as diverse as signal analysis and complexity theory." Scientific Computing World

 
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