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MAXIMA is a fairly complete computer algebra system.
This system MAXIMA is a COMMON LISP implementation due to William F. Schelter, and is based on the original implementation of Macsyma at MIT, as distributed by the Department of Energy. I now have permission from DOE to make derivative copies, and in particular to distribute it under the GNU public license. See the file COPYING included in the distribution. Thus these files may now be redistributed under the terms of GNU public license.
1. Introduction to MAXIMA Sample MAXIMA sessions. 2. Help Asking for help from within a MAXIMA session. 3. Command Line MAXIMA command line syntax. 4. Operators Operators used in MAXIMA expressions. 5. Expressions Expressions in MAXIMA. 6. Simplification Simplifying expressions. 7. Plotting 2D and 3D graphical output. 8. Input and Output File input and output. 9. Floating Point Low level numerical routines. 10. Contexts Sets of assumed facts.
Support for specific areas of mathematics
11. Polynomials Standard forms for polynomials, and functions operating on them. 12. Constants Numerical constants. 13. Logarithms Manipulation of expressions involving logarithms. 14. Trigonometric Manipulating expressions with trig and inverse trig functions. 15. Special Functions Special functions 16. Orthogonal Polynomials Orthogonal Polynomials and Special functions 17. Limits Limits of expressions. 18. Differentiation Differential calculus. 19. Integration Integral calculus. 20. Equations Defining and solving equations. 21. Differential Equations Defining and solving differential equations. 22. Numerical Numerical integration, Fourier transforms, etc. 23. Statistics Statistical functions. 24. Arrays and Tables Creating and working with arrays. 25. Matrices and Linear Algebra Matrix operations. 26. Affine 27. Tensor Indicial Tensor Manipulation package. 28. Ctensor Component Tensor Manipulation. 29. Series Taylor and power series. 30. Number Theory Number theory. 31. Symmetries 32. Groups Abstract algebra.
Advanced facilities and programming
33. Runtime Environment Customization of the MAXIMA environment. 34. Miscellaneous Options Options with a global effect on MAXIMA. 35. Rules and Patterns User defined pattern matching and simplification rules. 36. Lists Manipulation of Lisp lists. 37. Function Definition Defining functions. 38. Program Flow Defining MAXIMA programs. 39. Debugging Debugging MAXIMA programs.
40. Indices Index.
-- The Detailed Node Listing ---
1. Introduction to MAXIMA
2.1 Introduction to Help 2.2 Lisp and Maxima 2.3 Garbage Collection 2.4 Documentation 2.5 Definitions for Help
3.1 Introduction to Command Line 3.2 Definitions for Command Line
4.1 NARY 4.2 NOFIX 4.3 OPERATOR 4.4 POSTFIX 4.5 PREFIX 4.6 Definitions for Operators
5.1 Introduction to Expressions 5.2 ASSIGNMENT 5.3 COMPLEX 5.4 INEQUALITY 5.5 SYNTAX 5.6 Definitions for Expressions
6.1 Definitions for Simplification
7.1 Definitions for Plotting
Input and Output
8.1 Introduction to Input and Output 8.2 FILES 8.3 PLAYBACK 8.4 Definitions for Input and Output
9.1 Definitions for Floating Point
10.1 Definitions for Contexts
11.1 Introduction to Polynomials 11.2 Definitions for Polynomials
12.1 Definitions for Constants
13.1 Definitions for Logarithms
14.1 Introduction to Trigonometric 14.2 Definitions for Trigonometric
15.1 Introduction to Special Functions 15.2 GAMALG 15.3 SPECINT 15.4 Definitions for Special Functions
16.1 Introduction to Orthogonal Polynomials 16.2 Definitions for Orthogonal Polynomials
17.1 Definitions for Limits
18.1 Definitions for Differentiation
19.1 Introduction to Integration 19.2 Definitions for Integration
20.1 Definitions for Equations
21.1 Definitions for Differential Equations
22.1 Introduction to Numerical 22.2 DCADRE 22.3 ELLIPT 22.4 FOURIER 22.5 NDIFFQ 22.6 Definitions for Numerical
23.1 Definitions for Statistics
Arrays and Tables
24.1 Definitions for Arrays and Tables
Matrices and Linear Algebra
25.1 Introduction to Matrices and Linear Algebra 25.1.1 DOT 25.1.2 VECTORS 25.2 Definitions for Matrices and Linear Algebra
26.1 Definitions for Affine
27.1 Introduction to Tensor 27.2 Definitions for Tensor
28.1 Introduction to Ctensor 28.2 Definitions for Ctensor
29.1 Introduction to Series 29.2 Definitions for Series
30.1 Definitions for Number Theory
31.1 Definitions for Symmetries
32.1 Definitions for Groups
33.1 Introduction for Runtime Environment 33.2 INTERRUPTS 33.3 Definitions for Runtime Environment
34.1 Introduction to Miscellaneous Options 34.2 SHARE 34.3 Definitions for Miscellaneous Options
Rules and Patterns
35.1 Introduction to Rules and Patterns 35.2 Definitions for Rules and Patterns
36.1 Introduction to Lists 36.2 Definitions for Lists
37.1 Introduction to Function Definition 37.2 FUNCTION 37.3 MACROS 37.4 OPTIMIZATION 37.5 Definitions for Function Definition
38.1 Introduction to Program Flow 38.2 Definitions for Program Flow
39.3 Definitions for Debugging
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