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Maxima Manual

Maxima Manual

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.

MAXIMA infrastructure

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.

Index

40. Indices

Index.

 -- The Detailed Node Listing ---

Introduction

1. Introduction to MAXIMA

Help

2.1 Introduction to Help
2.2 Lisp and Maxima
2.3 Garbage Collection
2.4 Documentation
2.5 Definitions for Help

Command Line

3.1 Introduction to Command Line
3.2 Definitions for Command Line

Operators

4.1 NARY
4.2 NOFIX
4.3 OPERATOR
4.4 POSTFIX
4.5 PREFIX
4.6 Definitions for Operators

Expressions

5.1 Introduction to Expressions
5.2 ASSIGNMENT
5.3 COMPLEX
5.4 INEQUALITY
5.5 SYNTAX
5.6 Definitions for Expressions

Simplification

6.1 Definitions for Simplification

Plotting

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

Floating Point

9.1 Definitions for Floating Point

Contexts

10.1 Definitions for Contexts

Polynomials

11.1 Introduction to Polynomials
11.2 Definitions for Polynomials

Constants

12.1 Definitions for Constants

Logarithms

13.1 Definitions for Logarithms

Trigonometric

14.1 Introduction to Trigonometric
14.2 Definitions for Trigonometric

Special Functions

15.1 Introduction to Special Functions
15.2 GAMALG
15.3 SPECINT
15.4 Definitions for Special Functions

Orthogonal Polynomials

16.1 Introduction to Orthogonal Polynomials
16.2 Definitions for Orthogonal Polynomials

Limits

17.1 Definitions for Limits

Differentiation

18.1 Definitions for Differentiation

Integration

19.1 Introduction to Integration
19.2 Definitions for Integration

Equations

20.1 Definitions for Equations

Differential Equations

21.1 Definitions for Differential Equations

Numerical

22.1 Introduction to Numerical
22.2 DCADRE
22.3 ELLIPT
22.4 FOURIER
22.5 NDIFFQ
22.6 Definitions for Numerical

Statistics

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

Affine

26.1 Definitions for Affine

Tensor

27.1 Introduction to Tensor
27.2 Definitions for Tensor

Ctensor

28.1 Introduction to Ctensor
28.2 Definitions for Ctensor

Series

29.1 Introduction to Series
29.2 Definitions for Series

Number Theory

30.1 Definitions for Number Theory

Symmetries

31.1 Definitions for Symmetries

Groups

32.1 Definitions for Groups

Runtime Environment

33.1 Introduction for Runtime Environment
33.2 INTERRUPTS
33.3 Definitions for Runtime Environment

Miscellaneous Options

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

Lists

36.1 Introduction to Lists
36.2 Definitions for Lists

Function Definition

37.1 Introduction to Function Definition
37.2 FUNCTION
37.3 MACROS
37.4 OPTIMIZATION
37.5 Definitions for Function Definition

Program Flow

38.1 Introduction to Program Flow
38.2 Definitions for Program Flow

Debugging

39.3 Definitions for Debugging