The Computer Algebra Program MAXIMA - a Tutorial

Contents

• The History of Maxima
• Installation of Required Software
• The Maxima Frontends

• First Steps with Maxima
• Getting Started
• Term Rewriting and Simplification
• Doing Graphics with Maxima
• Use of Maxima at School Level
• Symbolic Integration
• Symbolic Integration - The Algorithms
• Definite Integration
• Numerical Analysis with Maxima
• Worked Examples:
  • Zeroes of an Univariate Polynomial
  • Computations with Matrices and Vectors
  • Computations with Finite and Infinite Sums
  • Computation of Limits
  • Trigonometric Transformations
  • Step-by-Step Computation of a Partial Fraction Decomposition
  • A Chapter from Geometry: Planar and Spacial Curves
  • Line Integrals
  • Computation of the Reciprocal of an Irrational Number
  • Polynomial Arithmetic with Remainders
  • Ordinary Differential Equations
  • Difference Equations
  • Construction of Integration Formulæ
  • Indefinite Summation
  • Symbolic Integration - Modern Methods
• Programming with MAXIMA
• File Access from MAXIMA
• Use of LISP
• Facts about LISP

• Literature, Additional Internet Resources