Descripciones mejoradas de Syndetics:

Topics are divided between review material on the mathematics background; numerical-analysis methods such as differentiation, integration, the solution of differential equations from engineering, life and physical sciences; data-analysis applications including least-squares fitting, splines and Fourier expansions. Unique in its project orientation, it features a vast amount of exercises with emphasis on realistic examples from current applications.

Tabla de contenidos provista por Syndetics

• Introduction to Applicable Mathematics and Computing
• A Review of Complex Variables
• Power Series and Their Applications
• Numerical Derivatives and Integrals
• Fitting Curves Through Data
• Least-Squares Analysis of Data
• Introduction to Differential Equations
• Second-Order Differential Equations
• Discrete Fourier Transforms and Fourier Series
• Fourier Integral Transforms
• Epilogue
• Appendix
• Indexes

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CHOICE Review

Thompson (Univ. of North Carolina, Chapel Hill) has taken a path in between mathematical analysis, numerical analysis, and algorithms/programming, providing some of each for scientists and engineers, including power series, numerical derivatives and integrals, curve-fitting using cubic splines, least squares analysis, first and second order differential equations, and Fourier series and transforms. For each he presents mathematical analysis, leaving many details to the exercises in the body of the text. He introduces numeric schemes, paying careful attention to numerical computation questions and to computational errors, though not as much as for numerical analysis. Programs in C follow, with a brief (somewhat useful) appendix on translating to FORTRAN or Pascal. The book's programs are intended for interactive use (with some input error checking), although the loop logic is often awkward. Thompson warns that the programs are straightforward implementations, and standard numerical packages should be used for efficiency. Recommended. Advanced undergraduate through professional. H. D. Warner; Western New England College