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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
5.4.1 Introduction to Lists
5.4.2 Functions and Variables for 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
23.1.1 Dot
23.1.2 Vectors
23.1.3 eigen
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
25.2.1 Managing indexed objects
25.2.2 Tensor symmetries
25.2.3 Indicial tensor calculus
25.2.4 Tensors in curved spaces
25.2.5 Moving frames
25.2.6 Torsion and nonmetricity
25.2.7 Exterior algebra
25.2.8 Exporting TeX expressions
25.2.9 Interfacing with ctensor
25.2.10 Reserved words
26. ctensor
26.1 Introduction to ctensor
26.2 Functions and Variables for ctensor
26.2.1 Initialization and setup
26.2.2 The tensors of curved space
26.2.3 Taylor series expansion
26.2.4 Frame fields
26.2.5 Algebraic classification
26.2.6 Torsion and nonmetricity
26.2.7 Miscellaneous features
26.2.8 Utility functions
26.2.9 Variables used by
ctensor
26.2.10 Reserved names
26.2.11 Changes
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
30.2.1 Changing bases
30.2.2 Changing representations
30.2.3 Groups and orbits
30.2.4 Partitions
30.2.5 Polynomials and their roots
30.2.6 Resolvents
30.2.7 Miscellaneous
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
35.1.1 Usage
35.1.2 Set Member Iteration
35.1.3 Bugs
35.1.4 Authors
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. bode
43.1 Functions and Variables for bode
44. clebsch_gordan
44.1 Functions and Variables for clebsch_gordan
45. cobyla
45.1 Introduction to cobyla
45.2 Functions and Variables for cobyla
45.3 Examples for cobyla
46. contrib_ode
46.1 Introduction to contrib_ode
46.2 Functions and Variables for contrib_ode
46.3 Possible improvements to contrib_ode
46.4 Test cases for contrib_ode
46.5 References for contrib_ode
47. descriptive
47.1 Introduction to descriptive
47.2 Functions and Variables for data manipulation
47.3 Functions and Variables for descriptive statistics
47.4 Functions and Variables for statistical graphs
48. diag
48.1 Functions and Variables for diag
49. distrib
49.1 Introduction to distrib
49.2 Functions and Variables for continuous distributions
49.3 Functions and Variables for discrete distributions
50. draw
50.1 Introduction to draw
50.2 Functions and Variables for draw
50.2.1 Scenes
50.2.2 Functions
50.2.3 Graphics options
50.2.4 Graphics objects
50.3 Functions and Variables for pictures
50.4 Functions and Variables for worldmap
50.4.1 Variables and Functions
50.4.2 Graphic objects
51. drawdf
51.1 Introduction to drawdf
51.2 Functions and Variables for drawdf
51.2.1 Functions
52. dynamics
52.1 The dynamics package
52.2 Graphical analysis of discrete dynamical systems
52.3 Visualization with VTK
52.3.1 Scene options
52.3.2 Scene objects
52.3.3 Scene object’s options
53. ezunits
53.1 Introduction to ezunits
53.2 Introduction to physical_constants
53.3 Functions and Variables for ezunits
54. f90
54.1 Functions and Variables for f90
55. finance
55.1 Introduction to finance
55.2 Functions and Variables for finance
56. fractals
56.1 Introduction to fractals
56.2 Definitions for IFS fractals
56.3 Definitions for complex fractals
56.4 Definitions for Koch snowflakes
56.5 Definitions for Peano maps
57. ggf
57.1 Functions and Variables for ggf
58. graphs
58.1 Introduction to graphs
58.2 Functions and Variables for graphs
58.2.1 Building graphs
58.2.2 Graph properties
58.2.3 Modifying graphs
58.2.4 Reading and writing to files
58.2.5 Visualization
59. grobner
59.1 Introduction to grobner
59.1.1 Notes on the grobner package
59.1.2 Implementations of admissible monomial orders in grobner
59.2 Functions and Variables for grobner
59.2.1 Global switches for grobner
59.2.2 Simple operators in grobner
59.2.3 Other functions in grobner
59.2.4 Standard postprocessing of Groebner Bases
60. impdiff
60.1 Functions and Variables for impdiff
61. interpol
61.1 Introduction to interpol
61.2 Functions and Variables for interpol
62. lapack
62.1 Introduction to lapack
62.2 Functions and Variables for lapack
63. lbfgs
63.1 Introduction to lbfgs
63.2 Functions and Variables for lbfgs
64. lindstedt
64.1 Functions and Variables for lindstedt
65. linearalgebra
65.1 Introduction to linearalgebra
65.2 Functions and Variables for linearalgebra
66. lsquares
66.1 Introduction to lsquares
66.2 Functions and Variables for lsquares
67. minpack
67.1 Introduction to minpack
67.2 Functions and Variables for minpack
68. makeOrders
68.1 Functions and Variables for makeOrders
69. mnewton
69.1 Introduction to mnewton
69.2 Functions and Variables for mnewton
70. numericalio
70.1 Introduction to numericalio
70.1.1 Plain-text input and output
70.1.2 Separator flag values for input
70.1.3 Separator flag values for output
70.1.4 Binary floating-point input and output
70.2 Functions and Variables for plain-text input and output
70.3 Functions and Variables for binary input and output
71. opsubst
71.1 Functions and Variables for opsubst
72. orthopoly
72.1 Introduction to orthogonal polynomials
72.1.1 Getting Started with orthopoly
72.1.2 Limitations
72.1.3 Floating point Evaluation
72.1.4 Graphics and
orthopoly
72.1.5 Miscellaneous Functions
72.1.6 Algorithms
72.2 Functions and Variables for orthogonal polynomials
73. romberg
73.1 Functions and Variables for romberg
74. simplex
74.1 Introduction to simplex
74.1.1 Tests for simplex
74.1.1.1 klee_minty
74.1.1.2 NETLIB
74.2 Functions and Variables for simplex
75. simplification
75.1 Introduction to simplification
75.2 Package absimp
75.3 Package facexp
75.4 Package functs
75.5 Package ineq
75.6 Package rducon
75.7 Package scifac
75.8 Package sqdnst
76. solve_rec
76.1 Introduction to solve_rec
76.2 Functions and Variables for solve_rec
77. stats
77.1 Introduction to stats
77.2 Functions and Variables for inference_result
77.3 Functions and Variables for stats
77.4 Functions and Variables for special distributions
78. stirling
78.1 Functions and Variables for stirling
79. stringproc
79.1 Introduction to String Processing
79.2 Input and Output
79.3 Characters
79.4 String Processing
79.5 Octets and Utilities for Cryptography
80. to_poly_solve
80.1 Functions and Variables for to_poly_solve
81. unit
81.1 Introduction to Units
81.2 Functions and Variables for Units
82. zeilberger
82.1 Introduction to zeilberger
82.1.1 The indefinite summation problem
82.1.2 The definite summation problem
82.1.3 Verbosity levels
82.2 Functions and Variables for zeilberger
82.3 General global variables
82.4 Variables related to the modular test
A. Function and Variable Index
B. Documentation Categories
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