MuPAD Tutorial
(Sprache: Englisch)
From the reviews of the second edition:
"The software package MuPAD is a computer algebra system that allows to solve computational problems in pure mathematics ... . The turotial explains the basic use of the system and gives insight into its power. ......
"The software package MuPAD is a computer algebra system that allows to solve computational problems in pure mathematics ... . The turotial explains the basic use of the system and gives insight into its power. ......
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From the reviews of the second edition:
"The software package MuPAD is a computer algebra system that allows to solve computational problems in pure mathematics ... . The turotial explains the basic use of the system and gives insight into its power. ... Many examples and exercises illustrate how to use the system's functions, the graphics, and the programming language." -- Zentralblatt für Didaktik der Mathematik, November, 2004
"The software package MuPAD is a computer algebra system that allows to solve computational problems in pure mathematics ... . The turotial explains the basic use of the system and gives insight into its power. ... Many examples and exercises illustrate how to use the system's functions, the graphics, and the programming language." -- Zentralblatt für Didaktik der Mathematik, November, 2004
Klappentext zu „MuPAD Tutorial “
This book explains the basic use of the software package called MuPAD and gives an insight into the power of the system. M u PAD is a so-called computer algebra system, which is developed mainly at the University of Paderborn in Germany. This introduction addresses mathematicians, engineers, computer scientists, natural scientists, and more generally all those in need of mathematical computations for their education or their profession. Generally speaking, this book addresses anybody who wants to use the power of a modern computer algebra package. There are two ways to use a computer algebra system. On the one hand, you may use the mathematical knowledge it incorporates by calling system functions interactively. For example, you can compute symbolic integrals, or generate and invert matrices, by calling appro priate functions. They comprise the system's mathematical intelligence and may implement sophisticated algorithms. Chapters 2 through 15 discuss this way of using MuPAD. On the other hand, with the help of MuPAD's programming lan guage you can easily add functionality to the system by implementing your own algorithms as MuPAD procedures. This is useful for special purpose applications if no appropriate system functions exist. Chap ters 16 through 18 are an introduction to programming in MuPAD. You can now read this book in the standard way "linearly" from the first to the last page. However, there are reasons to proceed otherwise.
Inhaltsverzeichnis zu „MuPAD Tutorial “
1.Introduction1.1 Numerical Computation
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
2.2.1 Exact Computations
2.2.2 Numerical Approximations
2.2.3 Complex Numbers
2.3 Symbolic Computation
2.3.1 Introductory Examples
2.3.2 Curve Sketching
2.3.3 Elementary Number Theory
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 nops
4.2 Numbers
4.3 Identifiers
4.4 Symbolic Expressions
4.4.1 Operators
4.4.2 Expression Trees
4.4.3 Operands
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
4.15.1 Definition of Matrices
4.15.2 Computing with Matrices
4.15.3 Internal Methods for Matrices
4.15.4 The Libraries linalg and numeric
4.15.5 An Application
4.16 Polynomials
4.16.1 Definition of Polynomials
4.16.2 Computing with Polynomials
4.17 Null Objects: null(), NIL, FAIL, and 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
8.3 Differential and Recurrence Equations
8.4 solve in MuPAD Versions Beyond 1.4
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 Graphs of Functions
11.2 Graphical Scenes
11.3 Curves
11.4 Surfaces
11.5 Further Possibilities
11.6 Printing and Saving Graphics
12 The History
... mehr
Mechanism
13 Input and Output
13.1 Output of Expressions
13.1.1 Printing Expressions on the Screen
13.1.2 Modifying the Output Format
13.2 Reading and Writing Files
13.2.1 The Functions write and read
13.2.2 Saving a MuPAD Session
13.2.3 Reading Data from a Text File
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 Type Declaration
18.7 Procedures with a Variable Number of Arguments
18.8 Options: the Remember Table
18.9 Input Parameters
18.10 Evaluation Within Procedures
18.11 Function Environments
18.12 A Programming Example: Differentiation
18.13 Programming Exercises
- Solutions to Exercises
- Documentation and References
13 Input and Output
13.1 Output of Expressions
13.1.1 Printing Expressions on the Screen
13.1.2 Modifying the Output Format
13.2 Reading and Writing Files
13.2.1 The Functions write and read
13.2.2 Saving a MuPAD Session
13.2.3 Reading Data from a Text File
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 Type Declaration
18.7 Procedures with a Variable Number of Arguments
18.8 Options: the Remember Table
18.9 Input Parameters
18.10 Evaluation Within Procedures
18.11 Function Environments
18.12 A Programming Example: Differentiation
18.13 Programming Exercises
- Solutions to Exercises
- Documentation and References
... weniger
Bibliographische Angaben
- Autoren: Jürgen Gerhard , Walter Oevel
- 2000, XII, 361 Seiten, Maße: 15,5 x 23,5 cm, Kartoniert (TB), Englisch
- Verlag: Springer, Berlin
- ISBN-10: 3540675469
- ISBN-13: 9783540675464
Sprache:
Englisch
Pressezitat
From the reviews of the second edition: "The software package MuPAD is a computer algebra system that allows to solve computational problems in pure mathematics ... . The turotial explains the basic use of the system and gives insight into its power. ... Many examples and exercises illustrate how to use the system's functions, the graphics, and the programming language." (Zentralblatt für Didaktik der Mathematik, November, 2004)
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