Mathematica Computer Guide: A Self-Contained Introduction for Erwin Kreyszig's "Advanced Engineering Mechanics, Ninth Edition"

Erwin Kreyszig and Edward J. Norminton, 2006, John Wiley & Sons, 257 pp., paperback

ISBN: 047172646X

In conjunction with Erwin Kreyszig's Advanced Engineering Mechanics, this book and Mathematica help students in working out class notes, doing homework and exams, and pursuing self-study. No previous experience with Mathematica or any other software is required, and this edition is fully updated for Mathematica 5.2.

Over 130 worked-out examples are provided--covering ordinary and partial differential equations, linear algebra and vector calculus, Fourier series and integrals, complex analysis and potential theory, numeric analysis, linear programming and combinatorial optimization, and probability theory and statistics--as well as over 400 practice problems.

Contents
Introduction, General Commands
Part A: Ordinary Differential Equations (ODEs)
First-Order ODEs | Linear ODEs of Second and Higher Order | Systems of ODEs, Phase Plane, Qualitative Methods | Series Solutions of ODEs | Laplace Transform Method for Solving ODEs
Part B: Linear Algebra, Vector Calculus
Matrices, Vectors, Determinants, Linear Systems of Equations | Matrix Eigenvalue Problems | Vector Differential Calculus, Grad, Div, Curl | Vector Integral Calculus, Integral Theorems
Part C: Fourier Analysis and Partial Differential Equations (PDEs)
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 Analysis
Numerics in General | Numeric Linear Algebra | Numerics for ODEs and PDEs
Part F: Optimization, Graphs
Unconstrained Optimization, Linear Programming
Part G: Probability and Statistics
Data Analysis, Probability Theory | Mathematical Statistics Appendices References | Answers to Odd-Numbered Problems

This book is available in the Wolfram Research bookstore.