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Inhaltsangabe
1.1 For whom this book was written.- 1.2 The goal.- 1.3 Why we should care about MuPAD.- 1.4 What is inside.- 1.5 Style conventions.- 1.6 Writing "between".- 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.- Programming in MuPAD - Declarations.- 3.1 Writing Formulae in MuPAD.- 3.2 Declaring Variables and Constants.- 3.3 Declaring Functions and Operations.- 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.- Programming in MuPAD - Control Structures.- 4.1 Decisions.- 4.1.1 MuPAD Syntax: the "if" Statement.- 4.1.2 Indentation in MuPAD.- 4.1.3 Quadratic Equation Example.- 4.1.4 Formatting Output and Input.- 4.1.5 "elif" a Useful Shortcut.- 4.2 Programming Itcrations 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 What is Wrong with my Loops and Conditions.- 4.4 Selections.- 4.4.1 MuPAD Syntax: the "case" Structure.- 4.5 Chapter Summary.- 4.6 Programming Exercises.- Programming in MuPAD - Procedures.- 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 Introduction to Types and Domains.- 5.7 Using MuPAD Types and Domains.- 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 a Variable Number of Input 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.- to MuPAD Graphics.- 6.1 Obtaining Quick Plots.- 6.1.1 Procedure plotfunc2d.- 6.1.2 Your First Animation with MuPAD.- 6.1.3 Procedure plotfunc3d.- 6.2 General Concept of MuPAD Plots.- 6.2.1 Object Attributes' Options.- 6.3 Canvas, Scene and Coordinate System Options.- 6.3.1 Options for Canvas.- 6.3.2 Options for Scene2d.- 6.3.3 Options for Sccnc3d.- 6.3.4 The Coordinate System in 2D and 3D.- 6.4 Options Related to Primitives.- 6.4.1 Basic Options for Primitives.- 6.4.2 Working with Color.- 6.4.3 Mesh and Other Options.- 6.5 Operations on Graphical Objects.- 6.5.1 Operation modify.- 6.6 Chapter Summary.- 6.7 Programming Exercises.- Interactive Graphics' Animation with VCam.- 7.1 Learning the Virtual Camera Environment.- 7.2 Using VCam to Improve 2D Graphs.- 7.3 Using VCam to Improve 3D Graphs.- 7.4 Interactive Development of Animations.- 7.5 Saving MuPAD Graphs.- 7.6 Chapter Summary.- 7.7 Exercises.- Exploring Mathematical Curves and Surfaces.- 8.1 Plots in 2D Space' Plot Types.- 8.1.1 Class Function2d.- 8.1.2 Class Curve2d.- 8.1.3 Developing Polar Plots.- 8.1.4 Developing Implicit Plots.- 8.2 Plots in 3D Space.- 8.2.1 Class Function3d.- 8.2.2 Class Surface.- 8.2.3 Class Spherical.- 8.2.4 Class Cylindrical.- 8.2.5 Class Implicit3d.- 8.2.6 Classes Curve3d and Tube.- 8.3 Chapter Summary.- 8.4 Programming Exercises.- A Few Applications of MuPAD Graphics.- 9.1 Calculus Graphics.- 9.1.1 Plotting Contours.- 9.1.2 Developing Density Plots.- 9.1.3 Vector Fields.- 9.1.4 Plotting Areas.- 9.1.5 Surfaces of Revolution.- 9.2 Presentation Graphics.- 9.3 Working with Geometry Objects.- 9.4 Transformations of Graphical Objects.- 9.5 Turtle Graphics & L-systems.- 9.5.1 Turtle Graphics in MuPAD.- 9.5.2 Plotting L-systems.- 9.6 Chapter Summary.- 9.7 Programming Exercises.- Exploring Numbers with MuPAD.- 10.1 Integers in MuPAD.- 10.2 Rational Numbers in MuPAD.- 10.3 Real Numbers in MuPAD.- 10.4 Complex Numbers in MuPAD.- 10.5 Chapter Summary.- 10.6 Programming Exercises.- Elementary Algebra
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