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### Summary

### Summary

Intended as a companion for textbooks in mathematical methods for science and engineering, this book presents a large number of numerical topics and exercises together with discussions of methods for solving such problems using Mathematica(R). Although it is primarily designed for use with the author's "Mathematical Methods: For Students of Physics and Related Fields," the discussions in the book sufficiently self-contained that the book can be used as a supplement to any of the standard textbooks in mathematical methods for undergraduate students of physical sciences or engineering.

### Reviews 1

### Choice Review

Hassani (Illinois State Univ.) presents a multitude of Mathematica techniques for solving otherwise insoluble problems in mathematical physics or engineering. Rather than offering all the principles and techniques of Mathematica, this book is best described as "learning the essentials of Mathematica through examples from undergraduate physics." Chapter 1 lays out essential Mathematica commands; chapter 2 includes vectors (using the electric fields and potentials of discrete charge distributions) and matrices (using the calculation of normal modes of mass-spring systems) as found in Mathematica. The next two chapters discuss numerical integration (with applications to mechanics, electrostatics, and magnetism), infinite series, and finite sums. Chapter 5 is devoted entirely to a theoretical treatment of numerical solutions of differential equations and includes techniques such as Euler methods, the Runge-Kutta method, and the use of discrete differentiation in solving eigenvalue problems. Chapter 6 uses Mathematica to solve ordinary differential equations (based on examples from classical and quantum mechanics). An attractive feature is the large number of numerical exercises and clarity of presentation. The accompanying CD-ROM, with Mathematica Notebooks, illustrates most of the topics. This book can supplement any textbooks in mathematical methods of physical sciences or engineering. Chapter problem sets. ^BSumming Up: Recommended. Upper-division undergraduates through professionals. D. V. Chopra Wichita State University

### Table of Contents

Mathematica in a Nutshell |

Vectors and Matrices in Mathematica |

Integration |

Infinite Series and Finite Sums |

Numerical Solutions of ODE's: Theory |

Numerical Solutions of ODE's: Examples Using Mathematica |