Mathematica Computer Guide

E. Kreyszig and E. J. Norminton, John Wiley & Sons, 257 pp., paperback

This self-contained introductory guide was written in Mathematica 4 to supplement Advanced Engineering Mathematics, Eighth Edition, by Erwin Kreyszig. The guide presents Mathematica as simply as possible and includes over 130 worked-out examples and about 400 problems for the student to solve. Answers to the odd-numbered problems are included in an appendix to the guide.

Chapters
Introduction, General Commands

Part A: Ordinary Differential Equations (ODEs)
First-Order ODEs | Linear ODEs of Second and Higher Order | Systems of Differential Equations, Phase Plane, Qualitative Methods | Series Solutions of Differential Equations | Laplace Transform Method for Solving ODEs

Part B: Linear Algebra, Vector Calculus
Matrices, Vectors, Determinants, Linear Systems of Equations | Matrix Eigenvalue Problems | Vectors in R² and R³, Dot and Cross Products, Grad, Div, Curl | Vector Integral Calculus, Integral Theorems

Part C: Fourier Analysis and Partial Differential Equations
Fourier Series, Integrals, and Transforms | Partial Differential Equations (PDEs)

Part D: Complex Analysis
Complex Numbers and Functions, Conformal Mapping | Complex Integration | Power Series, Taylor Series | Laurent Series, Residue Integration | Complex Analysis in Potential Theory

Part E: Numerical Methods
Numerical Methods in General | Numerical Linear Algebra | Numerical Methods for Differential Equations

Part F: Optimization, Graphs
Unconstrained Optimization, Linear Programming

Part G: Probability and Statistics
Data Analysis, Probability Theory | Mathematical Statistics

This book is available in the Wolfram Research bookstore.