(maxima.info)Top


Maxima 5.42.1 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

Introduction to Maxima: Sample Maxima sessions.
Bug Detection and Reporting: Finding and reporting bugs in Maxima.
Help: Asking for help from within a Maxima session.
Command Line: Maxima command line syntax, Input, and Output.
Data Types and Structures: Numbers, Strings, Lists, Arrays, and Structures.
Expressions: Expressions in Maxima.
Operators: Operators used in Maxima expressions.
Evaluation: Evaluating expressions.
Simplification: Simplifying expressions.
Mathematical Functions: Mathematical functions in Maxima.
Maximas Database: Declarations, Contexts, Facts, and Properties.
Plotting: 2D and 3D graphical output.
File Input and Output: File input and output.

Support for specific areas of mathematics

Polynomials: Standard forms for polynomials, and
Special Functions: Special functions
Elliptic Functions: Elliptic Functions and Integrals
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
Matrices and Linear Algebra: Matrix operations.
Affine
itensor: Indicial Tensor Manipulation.
ctensor: Component Tensor Manipulation.
atensor: Algebraic Tensor Manipulation.
Sums Products and Series: Sums, Products, 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
Sets: Manipulation of sets.
Function Definition: Defining functions.
Program Flow: Defining Maxima programs.
Debugging: Debugging Maxima programs.

Additional packages

alt-display-pkg: Alternative display package.
asympa-pkg: Asymptotic analysis package.
augmented_lagrangian-pkg: augmented_lagrangian package.
Bernstein-pkg: Bernstein polynomials.
bitwise-pkg: Manipulate bits of integers.
bode-pkg: Bode gain and phase plots.
celine-pkg: Sister Celine's method
clebsch_gordan-pkg: Clebsch-Gordan and Wigner coefficients
cobyla-pkg: Nonlinear optimization with inequality constraints.
combinatorics-pkg: Functions to work with permutations.
contrib_ode-pkg: Additional routines for ODEs
descriptive-pkg: Descriptive statistics.
diag-pkg: Jordan matrices.
distrib-pkg: Probability distributions.
draw-pkg: A Maxima-Gnuplot interface.
drawdf-pkg: Direction fields with Gnuplot.
dynamics-pkg: 3D visualization, animations and dynamical systems.
engineering-format-pkg: Display floats as a*10^b with b mod 3 = 0.
ezunits-pkg: Dimensional quantities.
f90-pkg: Maxima to fortran translator.
finance-pkg: Financial package.
fractals-pkg: Fractals.
ggf-pkg: Generating function of sequences.
graphs-pkg: Graph theory package.
grobner-pkg: Functions for working with Groebner bases.
impdiff-pkg: Implicit derivatives.
interpol-pkg: Interpolation package.
lapack-pkg: LAPACK functions for linear algebra.
lbfgs-pkg: L-BFGS unconstrained minimization package.
lindstedt-pkg: Lindstedt package.
linearalgebra-pkg: Functions for linear algebra.
lsquares-pkg: Least squares.
makeOrders-pkg: Polynomial utility.
minpack-pkg: MINPACK functions for minimization and roots
mnewton-pkg: Newton's method.
numericalio-pkg: Reading and writing files.
operatingsystem-pkg: Common operating system tasks (create/remove dirs+files,...).
opsubst-pkg: Substitutions utility.
orthopoly-pkg: Orthogonal polynomials.
ratpow-pkg: Determine the coefficients of polynoms.
romberg-pkg: Romberg method for numerical integration.
simplex-pkg: Linear programming.
simplification-pkg: Simplification rules and functions.
solve_rec-pkg: Linear recurrences.
stats-pkg: Statistical inference package.
stirling-pkg: Stirling formula.
stringproc-pkg: String processing.
to_poly_solve-pkg: to_poly_solve package.
unit-pkg: Units and dimensions package.
wrstcse-pkg: Worstcase calculations for engineering.
zeilberger-pkg: Functions for hypergeometric summation.