Maxima Manual

Maxima is a computer algebra system, implemented in Lisp.

Maxima is derived from the Macsyma system, developed at MIT in the years 1968 through 1982 as part of Project MAC. MIT turned over a copy of the Macsyma source code to the Department of Energy in 1982; that version is now known as DOE Macsyma. A copy of DOE Macsyma was maintained by Professor William F. Schelter of the University of Texas from 1982 until his death in 2001. In 1998, Schelter obtained permission from the Department of Energy to release the DOE Macsyma source code under the GNU Public License, and in 2000 he initiated the Maxima project at SourceForge to maintain and develop DOE Macsyma, now called Maxima.

Maxima infrastructure

Support for specific areas of mathematics
1. Introduction to Maxima		Sample Maxima sessions.
2. Bug Detection and Reporting		Finding and reporting bugs in Maxima.
3. Help		Asking for help from within a Maxima session.
4. Command Line		Maxima command line syntax.
5. Operators		Operators used in Maxima expressions.
6. Expressions		Expressions in Maxima.
7. Simplification		Simplifying expressions.
8. Plotting		2D and 3D graphical output.
9. Input and Output		File input and output.
10. Floating Point		Low level numerical routines.
11. Contexts		Sets of assumed facts.
12. Polynomials		Standard forms for polynomials, and functions operating on them.
13. Constants		Numerical constants.
14. Logarithms		Manipulation of expressions involving logarithms.
15. Trigonometric		Manipulating expressions with trig and inverse trig functions.
16. Special Functions		Special functions
17. Elliptic Functions		Elliptic Functions and Integrals
18. Limits		Limits of expressions.
19. Differentiation		Differential calculus.
20. Integration		Integral calculus.
21. Equations		Defining and solving equations.
22. Differential Equations		Defining and solving differential equations.
23. Numerical		Numerical integration, Fourier transforms, etc.
24. Statistics		Statistical functions.
25. Arrays and Tables		Creating and working with arrays.
26. Matrices and Linear Algebra		Matrix operations.
27. Affine
28. itensor		Indicial Tensor Manipulation.
29. ctensor		Component Tensor Manipulation.
30. atensor		Algebraic Tensor Manipulation.
31. Series		Taylor and power series.
32. Number Theory		Number theory.
33. Symmetries
34. Groups		Abstract algebra.
Advanced facilities and programming
35. Runtime Environment		Customization of the Maxima environment.
36. Miscellaneous Options		Options with a global effect on Maxima.
37. Rules and Patterns		User defined pattern matching and simplification rules.
38. Lists		Manipulation of lists.
39. Sets		Manipulation of sets.
40. Function Definition		Defining functions.
41. Program Flow		Defining Maxima programs.
42. Debugging		Debugging Maxima programs.
Index
43. Indices		Index.
--- The Detailed Node Listing --- Introduction
1. Introduction to Maxima
Help
3.1 Introduction to Help
3.2 Lisp and Maxima
3.3 Garbage Collection
3.4 Documentation
3.5 Definitions for Help
Command Line
4.1 Introduction to Command Line
4.2 Definitions for Command Line
Operators
5.1 nary
5.2 nofix
5.3 operator
5.4 postfix
5.5 prefix
5.6 Definitions for Operators
Expressions
6.1 Introduction to Expressions
6.2 Assignment
6.3 Complex
6.6 Inequality
6.7 Syntax
6.8 Definitions for Expressions
Simplification
7.1 Definitions for Simplification
Plotting
8.1 Definitions for Plotting
Input and Output
9.1 Introduction to Input and Output
9.2 Files
9.3 Definitions for Input and Output
Floating Point
10.1 Definitions for Floating Point
Contexts
11.1 Definitions for Contexts
Polynomials
12.1 Introduction to Polynomials
12.2 Definitions for Polynomials
Constants
13.1 Definitions for Constants
Logarithms
14.1 Definitions for Logarithms
Trigonometric
15.1 Introduction to Trigonometric
15.2 Definitions for Trigonometric
Special Functions
16.1 Introduction to Special Functions
16.2 specint
16.3 Definitions for Special Functions
Elliptic Functions
17.1 Introduction to Elliptic Functions and Integrals
17.2 Definitions for Elliptic Functions
17.3 Definitions for Elliptic Integrals
Limits
18.1 Definitions for Limits
Differentiation
19.1 Definitions for Differentiation
Integration
20.1 Introduction to Integration
20.2 Definitions for Integration
Equations
21.1 Definitions for Equations
Differential Equations
22.1 Definitions for Differential Equations
Numerical
23.1 Introduction to Numerical
23.2 Fourier packages
23.3 Definitions for Numerical
23.4 Definitions for Fourier Series
Statistics
24.1 Definitions for Statistics
Arrays and Tables
25.1 Definitions for Arrays and Tables
Matrices and Linear Algebra
26.1 Introduction to Matrices and Linear Algebra
26.1.1 Dot
26.1.2 Vectors
26.1.3 eigen
26.2 Definitions for Matrices and Linear Algebra
Affine
27.1 Definitions for Affine
itensor
28.1 Introduction to itensor
28.2 Definitions for itensor
ctensor
29.1 Introduction to ctensor
29.2 Definitions for ctensor
atensor
30.1 Introduction to atensor
30.2 Definitions for atensor
Series
31.1 Introduction to Series
31.2 Definitions for Series
Number Theory
32.1 Definitions for Number Theory
Symmetries
33.1 Definitions for Symmetries
Groups
34.1 Definitions for Groups
Runtime Environment
35.1 Introduction for Runtime Environment
35.2 Interrupts
35.3 Definitions for Runtime Environment
Miscellaneous Options
36.1 Introduction to Miscellaneous Options
36.2 Share
36.3 Definitions for Miscellaneous Options
Rules and Patterns
37.1 Introduction to Rules and Patterns
37.2 Definitions for Rules and Patterns
Lists
38.1 Introduction to Lists
38.2 Definitions for Lists
Sets
39.1 Introduction to Sets
39.2 Definitions for Sets
Function Definition
40.1 Introduction to Function Definition
40.2 Function
40.3 Macros
40.4 Definitions for Function Definition
Program Flow
41.1 Introduction to Program Flow
41.2 Definitions for Program Flow
Debugging
42.3 Definitions for Debugging

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