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Projects in Scientific Computation [Hardcover]

Richard E. Crandall (Author)


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Book Description

0387978089 978-0387978086 June 22, 2000
This interdisciplinary book provides a compendium of projects, together with a large number of example programs for readers to study and explore. The book is designed for advanced undergraduate or graduate students of science, mathematics and engineering who will deal with scientific computation in their future studies and research. It also contains new and useful reference materials for researchers. The problem sets range from the tutorial to exploratory and, at times, to "the impossible." These projects were collected from research results and computational dilemmas during the author's tenure as Chief Scientist at NeXT Computer, Inc. and from his scientific computation lectures in the Department of Physics at Reed College. The content assumes familiarity with such college topics as calculus, differential equations, and at least elementary programming. Each project focuses on computation, theory, graphics, or some combination of these, and is designed with an estimated level of difficulty. The support code for each project takes the form of either C or Mathematica, and is printing in the Appendix. The algorithms are clearly laid out within the text projects, so the book can be used with other symbolic numerical and algebraic manipulation products.

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This interdisciplinary book provides a compendium of projects, together with a large number of example programs for readers to study and explore. The book is designed for advanced undergraduate or graduate students of science, mathematics and engineering who will deal with scientific computation in their future studies and research. It also contains new and useful reference materials for researchers. These projects were collected from research results and computational dilemmas during the author's tenure as Chief Scientist at NeXT Computer, Inc. and from his scientific computation lectures in the Department of Physics at Reed College. The content assumes familiarity with such college topics as calculus, differential equations, and at no known direct competitors, but a paperbound book published by SIAM in 1990, "Scientific Computation on Mathematical Problems and Conjectures," CBMS 60, by Richard Varga from Kent State University, contains intellectual seed for Cran! dall's exposition; it is not a textbook, however. --This text refers to the Paperback edition.

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Inside This Book (learn more)
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First Sentence:
By analogy with Trefethen's notion we begin on the idea that numerical analysis is the study of algorithms also for the problems of science. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
fractal sound, cubic integral, good digits, wavelet conditions, wavelet transform matrix, split expansion, dragon curve, discrepancy integration, composite remains, private comm, phantom signal, dilation equation, quadratic map, wavelet system, register int, support code, simple continued fraction, tent map, attractor points, mother function, fast wavelet transform, factoring method, difficulty level, int argc, continuous wavelet transform
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Monte Carlo, Riemann Zeta, Last Theorem, Project Fast
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