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Mathematica Computer Guide: A Self-Contained Introduction for Erwin Kreyszig's Advanced Engineering Mechanics, Eighth Edition
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| Publisher: | John Wiley & Sons |
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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
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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.
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engineering, ordinary differential equations, linear algebra, vector calculus, fourier analysis, partial differential equations, complex analysis, numerical methods, optimization, probability and statistics
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