Numerical Mathematics and Computing - Softcover

9780534984250: Numerical Mathematics and Computing

Softcover

ISBN 10: 0534984258 ISBN 13: 9780534984250

Authors Ward Cheney and David Kincaid show students of science and engineering the potential computers have for solving numerical problems and give them ample opportunities to hone their skills in programming and problem solving. The text also helps students learn about errors that inevitably accompany scientific computations and arms them with methods for detecting, predicting, and controlling these errors. A more theoretical text with a different menu of topics is the authors' highly regarded NUMERICAL ANALYSIS: MATHEMATICS OF SCIENTIFIC COMPUTING, THIRD EDITION.

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Review

"My overall impression is that [the text] presents the material more clearly, usually without unnecessary generality and without burying the ideas in too much notation. Students at this level can be 'blown away' just by notational matters. This book avoids this most of the time, especially when presenting the basic mathematical discussions of the numerical methods considered. I have also found the material devoted to the derivations of the methods very well written."

Synopsis

An elementary text which presents a survey of computational problems arising in various applications, together with representative numerical methods and techniques for solving problems in science, engineering, and technology. The authors emphasize the use of numerical methods and computer programming rather than theory and the proofs of theorems. In addition to standard topics such as roots of equations, numerical integration and differentiation, interpolation, and systems of equations, a number of advanced topics are covered. These include: approximation by splines; smoothing data by least squares; simulation by Monte Carlo methods; minimization of functions; linear programming; boundary-value problems; and partial differential equations. The level of presentation is appropriate for students just finishing elementary calculus. Mathematical demands are kept to a minimum. There are a large number of written exercises, as well as problems to be programmed in FORTRAN and solved on a computer. The computer programs are written so that they are suitable for use on either microcomputers or mainframes.

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