Publisher's 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.;This book should be of interest to degree and diploma students on introductory courses in numerical analysis and scientific computing in departments of mathematics and computing.
