Verwandte Artikel zu MuPAD Pro Computing Essentials
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Inhaltsangabe
1. Introduction.- 1.1 What is Special about MuPAD.- 1.2 What may you expect.- 1.3 Writing "between".- 2. A Quick Introduction to MuPAD.- 2.1 The Very First Look.- 2.2 Getting Started.- 2.3 A Quick Look at MuPAD's Interface.- 2.4 Formatting Documents in MuPAD.- 2.5 Getting Help.- 2.6 Chapter Summary.- 2.7 Review Exercises.- 3. Programming in MuPAD - Declarations.- 3.1 Declaring Variables and Functions.- 3.2 Declaring Functions.- 3.3 Writing Formulae in MuPAD.- 3.4 Writing More than One Line of Code.- 3.5 The Basics of the Domain Concept.- 3.6 Chapter Summary.- 3.7 Review exercises.- 4. Programming in MuPAD - Control Structures.- 4.1 Decisions.- 4.1.1 MuPAD Syntax: the "if..then" Statement.- 4.1.2 Indentation in MuPAD.- 4.1.3 Quadratic Equation Example.- 4.1.4 Formatting the Output.- 4.1.5 elif - a Useful Shortcut.- 4.2 Programming Iterations in MuPAD.- 4.2.1 The "for" loop.- 4.2.2 MuPAD Syntax: the "for" Loop.- 4.2.3 The "while" and "repeat" Loops.- 4.2.4 MuPAD Syntax: the "while" and "repeat" Loops.- 4.3 Selections.- 4.3.1 MuPAD Syntax: the "case" Structure.- 4.4 Chapter Summary.- 4.5 Programming Exercises.- 5. Programming in MuPAD - Procedures and Libraries.- 5.1 What is a Procedure.- 5.2 Examples of Procedures.- 5.3 Getting Output from Procedures.- 5.4 Returning Unevaluated or Symbolic Expressions.- 5.5 Shall We use Global or local Variables?.- 5.6 Using the Right Data Types in Procedures.- 5.7 Domains and Types Summary.- 5.8 Using Procedures to Produce Data Structures.- 5.8.1 Sequences.- 5.8.2 Lists.- 5.8.3 Sets.- 5.8.4 Strings.- 5.8.5 Vectors and Matrices.- 5.9 Procedures with Variable Number of Parameters.- 5.10 Recursive Procedures.- 5.11 Using Libraries.- 5.12 User Defined Libraries of Procedures.- 5.13 Final Comments on MuPAD Coding Guidelines.- 5.13.1 Magic Numbers.- 5.13.2 Comments.- 5.13.3 Braces.- 5.14 Chapter Summary.- 5.15 Programming Exercises.- 6. Introduction to MuPAD Graphics.- 6.1 Obtaining Quick Plots.- 6.1.1 Procedure plotfunc2d.- 6.1.2 Procedure plotfun3d.- 6.2 General Concept of MuPAD Wots.- 6.2.1 Object Attributes & Options.- 6.3 Object Options.- 6.3.1 Color.- 6.3.2 Grid.- 6.3.3 Smoothness.- 6.3.4 LineWidth.- 6.3.5 LineStyle.- 6.3.6 Style for 20 Objects.- 6.3.7 Style for 3D Objects.- 6.3.8 PointStyte & PointWidth.- 6.3.10 RealValuesOnly.- 6.4 Scene-Specific Plotting Options.- 6.4.1 Axes.- 6.4.2 Labeling.- 6.4.3 Environment.- 6.4.5 Output.- 6.4.6 Object Options Defined in Scene.- 6.5 Operations on Graphical Objects.- 6.5.3 Operation Group.- 6.6 Chapter Summary.- 6.7 Programming Exercises.- 7. Exploring Mathematical Curves and Surfaces.- 7.1 VCam Tool.- 7.2 Plots in 2D Space & Plot Types.- 7.2.1 Procedure Function2d.- 7.2.2 Procedure Curve2d.- 7.2.3 Developing Polar Plots.- 7.2.4 Developing Implicit Wots.- 7.3 Plots in 3D Space.- 7.3.1 Procedure Function3d.- 7.3.2 Procedure Surface3d.- 7.3.3 Procedure spherical.- 7.3.4 Procedure cylindrical.- 7.3.5 Procedure Curve3d.- 7.4 Chapter Summary.- 7.5 Programming Exercises.- 8. A Few Applications of MuPAD Graphics.- 8.1 Calculus Graphics.- 8.1.1 Plotting Contours.- 8.1.2 Developing Density Plots.- 8.1.3 Vector Fields.- 8.1.4 Plotting Inequalities.- 8.1.5 Operations on Functions.- 8.2 Presentation Graphics.- 8.2.1 Presentation Graphics in MuPAD Version 2.0.- 8.2.2 Presentation Graphics in MuPAD Versions 2.x.- 8.3 Working with Geometry Objects.- 8.4 Turtle Graphics & L-systems.- 8.4.1 Turtle Graphics in MuPAD.- 8.4.2 Plotting L-systems.- 8.5 Chapter Summary.- 8.6 Programming Exercises.- 9. Exploring Numbers with MuPAD.- 9.1 Integers in MuPAD.- 9.2 Rational Numbers in MuPAD.- 9.3 Real Numbers in MuPAD.- 9.4 Complex Numbers in MuPAD.- 9.5 Chapter Summary.- 9.6 Programming Exercises.- 10. Elementary Algebra and Trigonometry in MuPAD.- 10.1 Polynomials.- 10.2 Rational Expressions.- 10.3 Algebraic Expressions.- 10.4 Trigonometric and other Functions.- 10.5 Solving Equations and Inequalities.- 10.6 Chapter Summary.- 10.7 Programming Exercises.- 11. Working with Sets and
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