








Mathematica Computer Guide: A SelfContained Introduction for Erwin Kreyszig's Advanced Engineering Mechanics, Eighth Edition












Publisher:  John Wiley & Sons 
  






Introduction, General Commands Part A: Ordinary Differential Equations (ODEs) FirstOrder 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 R^{2} and R^{3}, 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 selfcontained 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 workedout examples and about 400 problems for the student to solve. Answers to the oddnumbered problems are included in an appendix to the guide.












engineering, ordinary differential equations, linear algebra, vector calculus, fourier analysis, partial differential equations, complex analysis, numerical methods, optimization, probability and statistics













   
 
