MuPAD tutorial /

The software package MuPAD is a computer algebra system that allows to solve computational problems in pure mathematics as well as in applied areas such as the natural sciences and engineering. This tutorial explains the basic use of the system and gives insight into its power. The main features and...

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Bibliographic Details
Main Author:	Creutzig, Christopher
Corporate Author:	SpringerLink (Online service)
Other Authors:	Oevel, W. (Walter), 1957-
Format:	eBook
Language:	English
Published:	Berlin ; New York : Springer, [2004]
Edition:	Second edition.
Subjects:	MuPAD. Mathematics > Data processing. MuPAD 3.0. Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

1. Introduction
1.1 Numerical Computations
1.2 Computer Algebra
1.3 Characteristics of Computer Algebra Systems
1.4 Existing Systems
1.5 MuPAD
2. First Steps in MuPAD
2.1 Explanations and Help
2.2 Computing with Numbers
2.3 Symbolic Computation
3. The MuPAD Libraries
3.1 Information About a Particular Library
3.2 Exporting Libraries
3.3 The Standard Library
4. MuPAD Objects
4.1 Operands: the Functions op and fops
4.2 Numbers
4.3 Identifiers
4.4 Symbolic Expressions
4.5 Sequences
4.6 Lists
4.7 Sets
4.8 Tables
4.9 Arrays
4.10 Boolean Expressions
4.11 Strings
4.12 Functions
4.13 Series Expansions
4.14 Algebraic Structures: Fields, Rings, etc.
4.15 Vectors and Matrices
4.16 Polynomials
4.17 Interval Arithmetic
4.18 Null Objects: null (), NIL, FAIL, undefined
5. Evaluation and Simplification
5.1 Identifiers and Their Values
5.2 Complete, Incomplete, and Enforced Evaluation
5.3 Automatic Simplification
6. Substitution: subs, subsex, and subsop
7. Differentiation and Integration
7.1 Differentiation
7.2 Integration
8. Solving Equations: solve
8.1 Polynomial Equations
8.2 General Equations and Inequalities
8.3 Differential Equations
8.4 Recurrence Equations
9. Manipulating Expressions
9.1 Transforming Expressions
9.2 Simplifying Expressions
9.3 Assumptions About Symbolic Identifiers
10. Chance and Probability
11. Graphics
11.1 Introduction
11.2 Easy Plotting: Graphs of Functions
11.3 Advanced Plotting: Principles and First Examples
11.4 The Full Picture: Graphical Trees
11.5 Viewer, Browser, and Inspector: Interactive Manipulation
11.6 Primitives
11.7 Attributes
11.8 Colors
11.9 Animations
11.10 Groups of Primitives
11.11 Transformations
11.12 Legends
11.13 Fonts
11.14 Saving and Exporting Pictures
11.15 Importing Pictures
11.16 Cameras in 3D
11.17 Strange Effects in 3D? Accelerated OpenGL?
12. The History Mechanism
13. Input and Output
13.1 Output of Expressions
13.2 Reading and Writing Files
14. Utilities
14.1 User-Defined Preferences
14.2 Information on MuPAD Algorithms
14.3 Restarting a MuPAD Session
14.4 Executing Commands of the Operating System
15. Type Specifiers
15.1 The Functions type and testtype
15.2 Comfortable Type Checking: the Type Library
16. Loops
17. Branching: if-then-else and case
18. MuPAD Procedures
18.1 Defining Procedures
18.2 The Return Value of a Procedure
18.3 Returning Symbolic Function Calls
18.4 Local and Global Variables
18.5 Subprocedures
18.6 Scope of Variables
18.7 Type Declaration
18.8 Procedures with a Variable Number of Arguments
18.9 Options: the Remember Table
18.10 Input Parameters
18.11 Evaluation Within Procedures
18.12 Function Environments
18.13 A Programming Example: Differentiation
18.14 Programming Exercises
A. Solutions to Exercises
B. Documentation and References
C. Graphics Gallery
D. Comments on the Graphics Gallery.