for Release 5 Mitarbeit:Monagan, M. B.; Geddes, K. O.; Heal, K. M.; Labahn, G.; Vorkoetter, S. M.; Devitt, J. S.; Hansen, M. L.; Redfern, D.; Rickard, K. M.
for Release 5 Mitarbeit:Monagan, M. B.; Geddes, K. O.; Heal, K. M.; Labahn, G.; Vorkoetter, S. M.; Devitt, J. S.; Hansen, M. L.; Redfern, D.; Rickard, K. M.
Maple V Mathematics Programming Guide is the fully updated language and programming reference for Maple V Release 5. It presents a detailed description of Maple V Release 5 - the latest release of the powerful, interactive computer algebra system used worldwide as a tool for problem-solving in mathematics, the sciences, engineering, and education. This manual describes the use of both numeric and symbolic expressions, the data types available, and the programming language statements in Maple. It shows how the system can be extended or customized through user defined routines and gives complete…mehr
Maple V Mathematics Programming Guide is the fully updated language and programming reference for Maple V Release 5. It presents a detailed description of Maple V Release 5 - the latest release of the powerful, interactive computer algebra system used worldwide as a tool for problem-solving in mathematics, the sciences, engineering, and education. This manual describes the use of both numeric and symbolic expressions, the data types available, and the programming language statements in Maple. It shows how the system can be extended or customized through user defined routines and gives complete descriptions of the system's user interface and 2D and 3D graphics capabilities.
1. Introduction.- 1.1 Getting Started.- 1.2 Basic Programming Constructs.- 1.3 Basic Data Structures.- 1.4 Computing with Formulae.- 2. Fundamentals.- 2.1 Evaluation Rules.- 2.2 Nested Procedures.- 2.3 Types.- 2.4 Choosing a Data Structure: Connected Graphs.- 2.5 Remember Tables.- 2.6 Conclusion.- 3. Advanced Programming.- 3.1 Procedures Which Return Procedures.- 3.2 When Local Variables Leave Home.- 3.3 Interactive Input.- 3.4 Extending Maple.- 3.5 Writing Your Own Packages.- 3.6 Conclusion.- 4. The Maple Language.- 4.1 Language Elements.- 4.2 Escape Characters.- 4.3 Statements.- 4.4 Expressions.- 4.5 Useful Looping Constructs.- 4.6 Substitution.- 4.7 Conclusion.- 5. Procedures.- 5.1 Procedure Definitions.- 5.2 Parameter Passing.- 5.3 Local and Global Variables.- 5.4 Procedure Options and the Description Field.- 5.5 The Value Returned by a Procedure.- 5.6 The Procedure Object.- 5.7 Explorations.- 5.8 Conclusion.- 6. Debugging Maple Programs.- 6.1 A Tutorial Example.- 6.2 Invoking the Debugger.- 6.3 Examining and Changing the State of the System.- 6.4 Controlling Execution.- 6.5 Restrictions.- 7. Numerical Programming in Maple.- 7.1 The Basics of evalf.- 7.2 Hardware Floating-Point Numbers.- 7.3 Floating-Point Models in Maple.- 7.4 Extending the evalf Command.- 7.5 Using the Matlab Package.- 7.6 Conclusion.- 8. Programming with Maple Graphics.- 8.1 Basic Plot Functions.- 8.2 Programming with Plotting Library Functions.- 8.3 Maple's Plotting Data Structures.- 8.4 Programming with Plot Data Structures.- 8.5 Programming with the plottools Package.- 8.6 Example: Vector Field Plots.- 8.7 Generating Grids of Points.- 8.8 Animation.- 8.9 Programming with Color.- 8.10 Conclusion.- 9. Input and Output.- 9.1 A Tutorial Example.- 9.2 File Types and Modes.- 9.3 File Descriptorsversus File Names.- 9.4 File Manipulation Commands.- 9.5 Input Commands.- 9.6 Output Commands.- 9.7 Conversion Commands.- 9.8 A Detailed Example.- 9.9 Notes to C Programmers.- 9.10 Conclusion.
1. Introduction.- 1.1 Getting Started.- 1.2 Basic Programming Constructs.- 1.3 Basic Data Structures.- 1.4 Computing with Formulae.- 2. Fundamentals.- 2.1 Evaluation Rules.- 2.2 Nested Procedures.- 2.3 Types.- 2.4 Choosing a Data Structure: Connected Graphs.- 2.5 Remember Tables.- 2.6 Conclusion.- 3. Advanced Programming.- 3.1 Procedures Which Return Procedures.- 3.2 When Local Variables Leave Home.- 3.3 Interactive Input.- 3.4 Extending Maple.- 3.5 Writing Your Own Packages.- 3.6 Conclusion.- 4. The Maple Language.- 4.1 Language Elements.- 4.2 Escape Characters.- 4.3 Statements.- 4.4 Expressions.- 4.5 Useful Looping Constructs.- 4.6 Substitution.- 4.7 Conclusion.- 5. Procedures.- 5.1 Procedure Definitions.- 5.2 Parameter Passing.- 5.3 Local and Global Variables.- 5.4 Procedure Options and the Description Field.- 5.5 The Value Returned by a Procedure.- 5.6 The Procedure Object.- 5.7 Explorations.- 5.8 Conclusion.- 6. Debugging Maple Programs.- 6.1 A Tutorial Example.- 6.2 Invoking the Debugger.- 6.3 Examining and Changing the State of the System.- 6.4 Controlling Execution.- 6.5 Restrictions.- 7. Numerical Programming in Maple.- 7.1 The Basics of evalf.- 7.2 Hardware Floating-Point Numbers.- 7.3 Floating-Point Models in Maple.- 7.4 Extending the evalf Command.- 7.5 Using the Matlab Package.- 7.6 Conclusion.- 8. Programming with Maple Graphics.- 8.1 Basic Plot Functions.- 8.2 Programming with Plotting Library Functions.- 8.3 Maple's Plotting Data Structures.- 8.4 Programming with Plot Data Structures.- 8.5 Programming with the plottools Package.- 8.6 Example: Vector Field Plots.- 8.7 Generating Grids of Points.- 8.8 Animation.- 8.9 Programming with Color.- 8.10 Conclusion.- 9. Input and Output.- 9.1 A Tutorial Example.- 9.2 File Types and Modes.- 9.3 File Descriptorsversus File Names.- 9.4 File Manipulation Commands.- 9.5 Input Commands.- 9.6 Output Commands.- 9.7 Conversion Commands.- 9.8 A Detailed Example.- 9.9 Notes to C Programmers.- 9.10 Conclusion.
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