In conjunction with Erwin Kreyszig's
Advanced Engineering Mathematics, 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.
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
Algebra,
Applied Mathematics,
Calculus and Analysis,
Differential Equations,
Engineering,
Probability and Statistics
