Maxima 5.39.0 Manual: Table of Contents

1. Introduction to Maxima
2. Bug Detection and Reporting
- 2.1 Functions and Variables for Bug Detection and Reporting
3. Help
- 3.1 Documentation
- 3.2 Functions and Variables for Help
4. Command Line
- 4.1 Introduction to Command Line
- 4.2 Functions and Variables for Command Line
- 4.3 Functions and Variables for Display
5. Data Types and Structures
- 5.1 Numbers
  - 5.1.1 Introduction to Numbers
  - 5.1.2 Functions and Variables for Numbers
- 5.2 Strings
  - 5.2.1 Introduction to Strings
  - 5.2.2 Functions and Variables for Strings
- 5.3 Constants
  - 5.3.1 Functions and Variables for Constants
- 5.4 Lists
- 5.5 Arrays
  - 5.5.1 Functions and Variables for Arrays
- 5.6 Structures
  - 5.6.1 Introduction to Structures
  - 5.6.2 Functions and Variables for Structures
6. Expressions
- 6.1 Introduction to Expressions
- 6.2 Nouns and Verbs
- 6.3 Identifiers
- 6.4 Inequality
- 6.5 Functions and Variables for Expressions
7. Operators
- 7.1 Introduction to operators
- 7.2 Arithmetic operators
- 7.3 Relational operators
- 7.4 Logical operators
- 7.5 Operators for Equations
- 7.6 Assignment operators
- 7.7 User defined operators
8. Evaluation
- 8.1 Functions and Variables for Evaluation
9. Simplification
- 9.1 Functions and Variables for Simplification
10. Mathematical Functions
- 10.1 Functions for Numbers
- 10.2 Functions for Complex Numbers
- 10.3 Combinatorial Functions
- 10.4 Root, Exponential and Logarithmic Functions
- 10.5 Trigonometric Functions
  - 10.5.1 Introduction to Trigonometric
  - 10.5.2 Functions and Variables for Trigonometric
- 10.6 Random Numbers
11. Maximas Database
- 11.1 Introduction to Maximas Database
- 11.2 Functions and Variables for Properties
- 11.3 Functions and Variables for Facts
- 11.4 Functions and Variables for Predicates
12. Plotting
- 12.1 Introduction to Plotting
- 12.2 Plotting Formats
- 12.3 Functions and Variables for Plotting
- 12.4 Plotting Options
- 12.5 Gnuplot Options
- 12.6 Gnuplot_pipes Format Functions
13. File Input and Output
- 13.1 Comments
- 13.2 Files
- 13.3 Functions and Variables for File Input and Output
- 13.4 Functions and Variables for TeX Output
- 13.5 Functions and Variables for Fortran Output
14. Polynomials
- 14.1 Introduction to Polynomials
- 14.2 Functions and Variables for Polynomials
15. Special Functions
- 15.1 Introduction to Special Functions
- 15.2 Bessel Functions
- 15.3 Airy Functions
- 15.4 Gamma and factorial Functions
- 15.5 Exponential Integrals
- 15.6 Error Function
- 15.7 Struve Functions
- 15.8 Hypergeometric Functions
- 15.9 Parabolic Cylinder Functions
- 15.10 Functions and Variables for Special Functions
16. Elliptic Functions
- 16.1 Introduction to Elliptic Functions and Integrals
- 16.2 Functions and Variables for Elliptic Functions
- 16.3 Functions and Variables for Elliptic Integrals
17. Limits
- 17.1 Functions and Variables for Limits
18. Differentiation
- 18.1 Functions and Variables for Differentiation
19. Integration
- 19.1 Introduction to Integration
- 19.2 Functions and Variables for Integration
- 19.3 Introduction to QUADPACK
  - 19.3.1 Overview
- 19.4 Functions and Variables for QUADPACK
20. Equations
- 20.1 Functions and Variables for Equations
21. Differential Equations
- 21.1 Introduction to Differential Equations
- 21.2 Functions and Variables for Differential Equations
22. Numerical
- 22.1 Introduction to fast Fourier transform
- 22.2 Functions and Variables for fast Fourier transform
- 22.3 Functions for numerical solution of equations
- 22.4 Introduction to numerical solution of differential equations
- 22.5 Functions for numerical solution of differential equations
23. Matrices and Linear Algebra
- 23.1 Introduction to Matrices and Linear Algebra
- 23.2 Functions and Variables for Matrices and Linear Algebra
24. Affine
- 24.1 Introduction to Affine
- 24.2 Functions and Variables for Affine
25. itensor
- 25.1 Introduction to itensor
  - 25.1.1 New tensor notation
  - 25.1.2 Indicial tensor manipulation
- 25.2 Functions and Variables for itensor
26. ctensor
- 26.1 Introduction to ctensor
- 26.2 Functions and Variables for ctensor
27. atensor
- 27.1 Introduction to atensor
- 27.2 Functions and Variables for atensor
28. Sums, Products, and Series
- 28.1 Functions and Variables for Sums and Products
- 28.2 Introduction to Series
- 28.3 Functions and Variables for Series
- 28.4 Introduction to Fourier series
- 28.5 Functions and Variables for Fourier series
- 28.6 Functions and Variables for Poisson series
29. Number Theory
- 29.1 Functions and Variables for Number Theory
30. Symmetries
- 30.1 Introduction to Symmetries
- 30.2 Functions and Variables for Symmetries
31. Groups
- 31.1 Functions and Variables for Groups
32. Runtime Environment
- 32.1 Introduction for Runtime Environment
- 32.2 Interrupts
- 32.3 Functions and Variables for Runtime Environment
33. Miscellaneous Options
- 33.1 Introduction to Miscellaneous Options
- 33.2 Share
- 33.3 Functions and Variables for Miscellaneous Options
34. Rules and Patterns
- 34.1 Introduction to Rules and Patterns
- 34.2 Functions and Variables for Rules and Patterns
35. Sets
- 35.1 Introduction to Sets
- 35.2 Functions and Variables for Sets
36. Function Definition
- 36.1 Introduction to Function Definition
- 36.2 Function
  - 36.2.1 Ordinary functions
  - 36.2.2 Array functions
- 36.3 Macros
- 36.4 Functions and Variables for Function Definition
37. Program Flow
- 37.1 Lisp and Maxima
- 37.2 Garbage Collection
- 37.3 Introduction to Program Flow
- 37.4 Functions and Variables for Program Flow
38. Debugging
- 38.1 Source Level Debugging
- 38.2 Keyword Commands
- 38.3 Functions and Variables for Debugging
39. alt-display
- 39.1 Introduction to alt-display
- 39.2 Functions and Variables for alt-display
40. asympa
- 40.1 Introduction to asympa
- 40.2 Functions and variables for asympa
41. augmented_lagrangian
- 41.1 Functions and Variables for augmented_lagrangian
42. Bernstein
- 42.1 Functions and Variables for Bernstein
43. bitwise
- 43.1 Functions and Variables for bitwise
44. bode
- 44.1 Functions and Variables for bode
45. celine
- 45.1 Introduction to celine
46. clebsch_gordan
- 46.1 Functions and Variables for clebsch_gordan
47. cobyla
- 47.1 Introduction to cobyla
- 47.2 Functions and Variables for cobyla
- 47.3 Examples for cobyla
48. contrib_ode
- 48.1 Introduction to contrib_ode
- 48.2 Functions and Variables for contrib_ode
- 48.3 Possible improvements to contrib_ode
- 48.4 Test cases for contrib_ode
- 48.5 References for contrib_ode
49. descriptive
- 49.1 Introduction to descriptive
- 49.2 Functions and Variables for data manipulation
- 49.3 Functions and Variables for descriptive statistics
- 49.4 Functions and Variables for statistical graphs
50. diag
- 50.1 Functions and Variables for diag
51. distrib
- 51.1 Introduction to distrib
- 51.2 Functions and Variables for continuous distributions
- 51.3 Functions and Variables for discrete distributions
52. draw
- 52.1 Introduction to draw
- 52.2 Functions and Variables for draw
- 52.3 Functions and Variables for pictures
- 52.4 Functions and Variables for worldmap
  - 52.4.1 Variables and Functions
  - 52.4.2 Graphic objects
53. drawdf
- 53.1 Introduction to drawdf
- 53.2 Functions and Variables for drawdf
  - 53.2.1 Functions
54. dynamics
- 54.1 The dynamics package
- 54.2 Graphical analysis of discrete dynamical systems
- 54.3 Visualization with VTK
55. engineering-format
- 55.1 Functions and Variables for engineering-format
- 55.2 Known Bugs
56. ezunits
- 56.1 Introduction to ezunits
- 56.2 Introduction to physical_constants
- 56.3 Functions and Variables for ezunits
57. f90
- 57.1 Functions and Variables for f90
58. finance
- 58.1 Introduction to finance
- 58.2 Functions and Variables for finance
59. fractals
- 59.1 Introduction to fractals
- 59.2 Definitions for IFS fractals
- 59.3 Definitions for complex fractals
- 59.4 Definitions for Koch snowflakes
- 59.5 Definitions for Peano maps
60. ggf
- 60.1 Functions and Variables for ggf
61. graphs
- 61.1 Introduction to graphs
- 61.2 Functions and Variables for graphs
62. grobner
- 62.1 Introduction to grobner
  - 62.1.1 Notes on the grobner package
  - 62.1.2 Implementations of admissible monomial orders in grobner
- 62.2 Functions and Variables for grobner
63. impdiff
- 63.1 Functions and Variables for impdiff
64. interpol
- 64.1 Introduction to interpol
- 64.2 Functions and Variables for interpol
65. lapack
- 65.1 Introduction to lapack
- 65.2 Functions and Variables for lapack
66. lbfgs
- 66.1 Introduction to lbfgs
- 66.2 Functions and Variables for lbfgs
67. lindstedt
- 67.1 Functions and Variables for lindstedt
68. linearalgebra
- 68.1 Introduction to linearalgebra
- 68.2 Functions and Variables for linearalgebra
69. lsquares
- 69.1 Introduction to lsquares
- 69.2 Functions and Variables for lsquares
70. minpack
- 70.1 Introduction to minpack
- 70.2 Functions and Variables for minpack
71. makeOrders
- 71.1 Functions and Variables for makeOrders
72. mnewton
- 72.1 Introduction to mnewton
- 72.2 Functions and Variables for mnewton
73. numericalio
- 73.1 Introduction to numericalio
- 73.2 Functions and Variables for plain-text input and output
- 73.3 Functions and Variables for binary input and output
74. operatingsystem
- 74.1 Introduction to operatingsystem
- 74.2 Directory operations
- 74.3 File operations
- 74.4 Environment operations
75. opsubst
- 75.1 Functions and Variables for opsubst
76. orthopoly
- 76.1 Introduction to orthogonal polynomials
- 76.2 Functions and Variables for orthogonal polynomials
77. ratpow
- 77.1 Functions and Variables for ratpow
78. romberg
- 78.1 Functions and Variables for romberg
79. simplex
- 79.1 Introduction to simplex
  - 79.1.1 Tests for simplex
    - 79.1.1.1 klee_minty
    - 79.1.1.2 NETLIB
- 79.2 Functions and Variables for simplex
80. simplification
- 80.1 Introduction to simplification
- 80.2 Package absimp
- 80.3 Package facexp
- 80.4 Package functs
- 80.5 Package ineq
- 80.6 Package rducon
- 80.7 Package scifac
- 80.8 Package sqdnst
81. solve_rec
- 81.1 Introduction to solve_rec
- 81.2 Functions and Variables for solve_rec
82. stats
- 82.1 Introduction to stats
- 82.2 Functions and Variables for inference_result
- 82.3 Functions and Variables for stats
- 82.4 Functions and Variables for special distributions
83. stirling
- 83.1 Functions and Variables for stirling
84. stringproc
- 84.1 Introduction to String Processing
- 84.2 Input and Output
- 84.3 Characters
- 84.4 String Processing
- 84.5 Octets and Utilities for Cryptography
85. to_poly_solve
- 85.1 Functions and Variables for to_poly_solve
86. unit
- 86.1 Introduction to Units
- 86.2 Functions and Variables for Units
87. zeilberger
- 87.1 Introduction to zeilberger
- 87.2 Functions and Variables for zeilberger
- 87.3 General global variables
- 87.4 Variables related to the modular test
88. Error and warning messages
- 88.1 Error messages
- 88.2 Warning messages
  - 88.2.1 Encountered undefined variable <x> in translation
  - 88.2.2 Rat: replaced <x> by <y> = <z>
A. Function and Variable Index
B. Documentation Categories

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