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\input texinfo
@c -*-texinfo-*-

@c 2000-04-17 Jim Van Zandt <jrv@vanzandt.mv.com> Added header,
@c info directory entry, reference to introduction chapter, and menu
@c descriptions.  Rearranged chapters.

@c to update the menus do: 
@c (texinfo-multiple-files-update "maxima.texi" t t)
@c
@c texinfo-multiple-files-update will delete the detailed node listing!


@c %**start of header
@setfilename  maxima.info
@synindex vr fn
@settitle Maxima Manual
@c %**end of header
@setchapternewpage odd
@ifinfo
This is a Texinfo Maxima Manual

Copyright 1994,2001 William F. Schelter

@dircategory Math
@format
START-INFO-DIR-ENTRY
* Maxima: (maxima).     A computer algebra system.
END-INFO-DIR-ENTRY
@end format
@end ifinfo

@titlepage
@sp 10
@comment The title is printed in a large font.
@center @titlefont{Maxima Manual}
@end titlepage


@node Top, Introduction to MAXIMA, (dir), (dir)
@top

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.

@c includes

@menu
MAXIMA infrastructure

* Introduction to MAXIMA::      Sample MAXIMA sessions.
* Help::                        Asking for help from within a MAXIMA session.
* Command Line::                MAXIMA command line syntax.
* Operators::                   Operators used in MAXIMA expressions.
* Expressions::                 Expressions in MAXIMA.
* Simplification::              Simplifying expressions.
* Plotting::                    2D and 3D graphical output.
* Input and Output::            File input and output.
* Floating Point::              Low level numerical routines.
* Contexts::                    Sets of assumed facts.

Support for specific areas of mathematics

* Polynomials::                 Standard forms for polynomials, and
                                functions operating on them.
* Constants::                   Numerical constants.
* Logarithms::                  Manipulation of expressions involving
                                logarithms.
* Trigonometric::               Manipulating expressions with trig and
                                inverse trig functions.
* Special Functions::           Special functions
* Orthogonal Polynomials::      Orthogonal Polynomials and Special functions
* Limits::                      Limits of expressions.
* Differentiation::             Differential calculus.
* Integration::                 Integral calculus.
* Equations::                   Defining and solving equations.
* Differential Equations::      Defining and solving differential equations.
* Numerical::                   Numerical integration, Fourier
                                transforms, etc.
* Statistics::                  Statistical functions.
* Arrays and Tables::           Creating and working with arrays.
* Matrices and Linear Algebra:: Matrix operations.
* Affine::                      
* Tensor::                      Indicial Tensor Manipulation package.
* Ctensor::                     Component Tensor Manipulation.
* Series::                      Taylor and power series.
* Number Theory::               Number theory.
* Symmetries::                  
* Groups::                      Abstract algebra.

Advanced facilities and programming

* Runtime Environment::         Customization of the MAXIMA environment.
* Miscellaneous Options::       Options with a global effect on MAXIMA.
* Rules and Patterns::          User defined pattern matching and
                                simplification rules.
* Lists::                       Manipulation of Lisp lists.
* Function Definition::         Defining functions.
* Program Flow::                Defining MAXIMA programs.
* Debugging::                   Debugging MAXIMA programs.

Index

* Function and Variable Index:: Index.

@comment @detailmenu
 --- The Detailed Node Listing ---

Introduction

* Introduction to MAXIMA::

Help

* Introduction to Help::        
* Lisp and Maxima::            
* Garbage Collection::          
* Documentation::               
* Definitions for Help::        

Command Line

* Introduction to Command Line::  
* Definitions for Command Line::  

Operators

* NARY::                        
* NOFIX::                       
* OPERATOR::                    
* POSTFIX::                     
* PREFIX::                      
* Definitions for Operators::   

Expressions

* Introduction to Expressions::  
* ASSIGNMENT::                  
* COMPLEX::                     
* INEQUALITY::                  
* SYNTAX::                      
* Definitions for Expressions::  

Simplification

* Definitions for Simplification::  

Plotting

* Definitions for Plotting::    

Input and Output

* Introduction to Input and Output::  
* FILES::                       
* PLAYBACK::                    
* Definitions for Input and Output::  

Floating Point

* Definitions for Floating Point::  

Contexts

* Definitions for Contexts::    

Polynomials

* Introduction to Polynomials::  
* Definitions for Polynomials::  

Constants

* Definitions for Constants::   

Logarithms

* Definitions for Logarithms::  

Trigonometric

* Introduction to Trigonometric::  
* Definitions for Trigonometric::  

Special Functions

* Introduction to Special Functions::  
* GAMALG::                      
* SPECINT::                     
* Definitions for Special Functions::  

Orthogonal Polynomials

* Introduction to Orthogonal Polynomials::
* Definitions for Orthogonal Polynomials::

Limits

* Definitions for Limits::      

Differentiation

* Definitions for Differentiation::  

Integration

* Introduction to Integration::  
* Definitions for Integration::  

Equations

* Definitions for Equations::   

Differential Equations

* Definitions for Differential Equations::  

Numerical

* Introduction to Numerical::   
* DCADRE::                      
* ELLIPT::                      
* FOURIER::                     
* NDIFFQ::                      
* Definitions for Numerical::   

Statistics

* Definitions for Statistics::  

Arrays and Tables

* Definitions for Arrays and Tables::  

Matrices and Linear Algebra

* Introduction to Matrices and Linear Algebra::  
* DOT::                         
* VECTORS::                     
* Definitions for Matrices and Linear Algebra::  

Affine

* Definitions for Affine::      

Tensor

* Introduction to Tensor::      
* Definitions for Tensor::      

Ctensor

* Introduction to Ctensor::     
* Definitions for Ctensor::     

Series

* Introduction to Series::      
* Definitions for Series::      

Number Theory

* Definitions for Number Theory::  

Symmetries

* Definitions for Symmetries::  

Groups

* Definitions for Groups::      

Runtime Environment

* Introduction for Runtime Environment::  
* INTERRUPTS::                  
* Definitions for Runtime Environment::  

Miscellaneous Options

* Introduction to Miscellaneous Options::  
* SHARE::                       
* Definitions for Miscellaneous Options::  

Rules and Patterns

* Introduction to Rules and Patterns::  
* Definitions for Rules and Patterns::  

Lists

* Introduction to Lists::       
* Definitions for Lists::       

Function Definition

* Introduction to Function Definition::  
* FUNCTION::                    
* MACROS::                      
* OPTIMIZATION::                
* Definitions for Function Definition::  

Program Flow

* Introduction to Program Flow::  
* Definitions for Program Flow::  

Debugging

* Definitions for Debugging::   

@comment @end detailmenu
@end menu

@c  Put the @node lines here, rather than in the @included files,
@c  so emacs can automatically update them with C-c C-u C-e.
@c  nota bene: C-c C-u C-a and texinfo-multiple-files-update will delete
@c  the detailed node listing!

@node Introduction to MAXIMA, Help, Top, Top
@chapter Introduction to MAXIMA
@include Introduction.texi

@node Help, Command Line, Introduction to MAXIMA, Top
@chapter Help
@include Help.texi

@node Command Line, Operators, Help, Top
@chapter Command Line
@include Command.texi

@node Operators, Expressions, Command Line, Top
@chapter Operators
@include Operators.texi

@node Expressions, Simplification, Operators, Top
@chapter Expressions
@include Expressions.texi

@node Simplification, Plotting, Expressions, Top
@chapter Simplification
@include Simplification.texi

@node Plotting, Input and Output, Simplification, Top
@chapter Plotting
@include Plotting.texi

@node Input and Output, Floating Point, Plotting, Top
@chapter Input and Output
@include Input.texi

@node Floating Point, Contexts, Input and Output, Top
@chapter Floating Point
@include Floating.texi

@node Contexts, Polynomials, Floating Point, Top
@chapter Contexts
@include Contexts.texi

@node Polynomials, Constants, Contexts, Top
@chapter Polynomials
@include Polynomials.texi

@node Constants, Logarithms, Polynomials, Top
@chapter Constants
@include Constants.texi

@node Logarithms, Trigonometric, Constants, Top
@chapter Logarithms
@include Logarithms.texi

@node Trigonometric, Special Functions, Logarithms, Top
@chapter Trigonometric
@include Trigonometric.texi

@node Special Functions, Orthogonal Polynomials, Trigonometric, Top
@chapter Special Functions
@include Special.texi

@node Orthogonal Polynomials, Limits, Special Functions, Top
@chapter Orthogonal Polynomials
@include SpecfunII.texi


@node Limits, Differentiation, Orthogonal Polynomials, Top
@chapter Limits
@include Limits.texi

@node Differentiation, Integration, Limits, Top
@chapter Differentiation
@include Differentiation.texi

@node Integration, Equations, Differentiation, Top
@chapter Integration
@include Integration.texi

@node Equations, Differential Equations, Integration, Top
@chapter Equations
@include Equations.texi

@node Differential Equations, Numerical, Equations, Top
@chapter Differential Equations
@include Differential.texi

@c @include NonCommutative.texi

@node Numerical, Statistics, Differential Equations, Top
@chapter Numerical
@include Numerical.texi

@node Statistics, Arrays and Tables, Numerical, Top
@chapter Statistics
@include Statistics.texi

@node Arrays and Tables, Matrices and Linear Algebra, Statistics, Top
@chapter Arrays and Tables
@include Arrays.texi

@node Matrices and Linear Algebra, Affine, Arrays and Tables, Top
@chapter Matrices and Linear Algebra
@include Matrices.texi

@node Affine, Tensor, Matrices and Linear Algebra, Top
@chapter Affine
@include Affine.texi

@node Tensor, Ctensor, Affine, Top
@chapter Tensor
@include Tensor.texi

@node Ctensor, Series, Tensor, Top
@chapter Ctensor
@include Ctensor.texi

@node Series, Number Theory, Ctensor, Top
@chapter Series
@include Series.texi

@c @include None.texi

@node Number Theory, Symmetries, Series, Top
@chapter Number Theory
@include Number.texi

@node Symmetries, Groups, Number Theory, Top
@chapter Symmetries
@include Symmetries.texi

@node Groups, Runtime Environment, Symmetries, Top
@chapter Groups
@include Groups.texi

@node Runtime Environment, Miscellaneous Options, Groups, Top
@chapter Runtime Environment
@include Runtime.texi

@node Miscellaneous Options, Rules and Patterns, Runtime Environment, Top
@chapter Miscellaneous Options
@include Miscellaneous.texi

@node Rules and Patterns, Lists, Miscellaneous Options, Top
@chapter Rules and Patterns
@include Rules.texi

@c @include xrefs.texi

@node Lists, Function Definition, Rules and Patterns, Top
@chapter Lists
@include Lists.texi

@node Function Definition, Program Flow, Lists, Top
@chapter Function Definition
@include Function.texi

@node Program Flow, Debugging, Function Definition, Top
@chapter Program Flow
@include Program.texi

@node Debugging, Function and Variable Index, Program Flow, Top
@chapter Debugging
@include Debugging.texi

@node Function and Variable Index,  , Debugging, Top
@chapter Indices
@include Indices.texi

@c end includes


@summarycontents
@contents
@bye