MuPAD Pro Computing Essentials - Miroslaw Majewski

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MuPAD Pro Computing Essentials

By: Miroslaw Majewski

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Paperback | 21 May 2004 | Edition Number 2

At a Glance

Paperback
560 Pages

Edition Type
Revised

Dimensions(cm)
24.13 x 15.88 x 3.81

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Ifyou are like me, then you are definitely eager to know what is inside this book and how it can be useful to you. Let me take this opportunity to tell you in just a few words, for whom I wrote this and what my objective was. book, 1.1 For whom this book waswritten Originally I wrote this book for mathematics teachers who want to explore new ways of teaching mathematics with a computer. However, when the first edition of this book came out into the daylight, I found that my readers were not only teachers, but also many students of various courses looking for new ways of solving mathematical problems. I was not surprised when I found that a number of mathematics courses in a few European universities had been built based on this book. In fact, I have made heavy use of large parts of my book for the Computing Foundations course at my own university. Teachers and university instructors can use this book as a starting point to any course where the computer can make a difference and then build the rest of the course around it.

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Non-Fiction Education Teaching of a Specific Subject Mathematics Computing & I.T.Business Applications Mathematical & Statistical Software Science Science in General Maths for Scientists Computer Science

Introduction	p. 1
For whom this book was written	p. 1
The goal	p. 1
Why we should care about MuPAD	p. 2
What is inside	p. 3
Style conventions	p. 4
Writing "between"	p. 4
A Quick Introduction to MuPAD	p. 7
The Very First Look	p. 7
Getting Started	p. 9
A Quick Look at MuPAD's Interface	p. 13
Formatting Documents in MuPAD	p. 16
Getting Help	p. 19
Chapter Summary	p. 21
Review Exercises	p. 22
Programming in MuPAD - Declarations	p. 25
Writing Formulae in MuPAD	p. 25
Declaring Variables and Constants	p. 27
Declaring Functions and Operations	p. 31
Writing More than One Line of Code	p. 34
The Basics of the Domain Concept	p. 36
Chapter Summary	p. 41
Review Exercises	p. 43
Programming in MuPAD - Control Structures	p. 45
Decisions	p. 45
MuPAD Syntax: the "if" Statement	p. 47
Indentation in MuPAD	p. 48
Quadratic Equation Example	p. 49
Formatting Output and Input	p. 52
"elif" a Useful Shortcut	p. 55
Programming Iterations in MuPAD	p. 56
The "for" Loop	p. 56
MuPAD Syntax: the "for" Loop	p. 57
The "while" and "repeat" Loops	p. 58
MuPAD Syntax: the "while" and "repeat" Loops	p. 59
What is Wrong with my Loops and Conditions	p. 60
Selections	p. 64
MuPAD Syntax: the "case" Structure	p. 67
Chapter Summary	p. 67
Programming Exercises	p. 69
Programming in MuPAD - Procedures	p. 75
What is a Procedure	p. 78
Examples of Procedures	p. 78
Getting Output from Procedures	p. 85
Returning Unevaluated or Symbolic Expressions	p. 88
Shall We use Global or Local Variables?	p. 90
Introduction to Types and Domains	p. 93
Using MuPAD Types and Domains	p. 96
Using Procedures to Produce Data Structures	p. 101
Sequences	p. 102
Lists	p. 104
Sets	p. 105
Strings	p. 105
Vectors and Matrices	p. 107
Procedures with a Variable Number of Input Parameters	p. 111
Recursive Procedures	p. 114
Using Libraries	p. 117
User Defined Libraries of Procedures	p. 122
Final Comments on MuPAD Coding Guidelines	p. 126
Magic Numbers	p. 126
Comments	p. 127
Braces	p. 128
Chapter Summary	p. 130
Programming Exercises	p. 134
Introduction to MuPAD Graphics	p. 137
Obtaining Quick Plots	p. 137
Procedure plotfunc2d	p. 137
Your First Animation with MuPAD	p. 142
Procedure plotfunc3d	p. 144
General Concept of MuPAD Plots	p. 145
Object Attributes & Options	p. 150
Canvas, Scene and Coordinate System Options	p. 155
Options for Canvas	p. 158
Options for Scene2d	p. 163
Options for Scene3d	p. 164
The Coordinate System in 2D and 3D	p. 167
Options Related to Primitives	p. 170
Basic Options for Primitives	p. 171
Working with Color	p. 173
Mesh and Other Options	p. 174
Operations on Graphical Objects	p. 178
Operation modify	p. 178
Chapter Summary	p. 179
Programming Exercises	p. 186
Interactive Graphics & Animation with VCam	p. 189
Learning the Virtual Camera Environment	p. 189
Using VCam to Improve 2D Graphs	p. 195
Using VCam to Improve 3D Graphs	p. 199
Interactive Development of Animations	p. 206
Saving MuPAD Graphs	p. 212
Chapter Summary	p. 215
Exercises	p. 215
Exploring Mathematical Curves and Surfaces	p. 219
Plots in 2D Space & Plot Types	p. 219
Class Function2d	p. 219
Class Curve2d	p. 222
Developing Polar Plots	p. 224
Developing Implicit Plots	p. 226
Plots in 3D Space	p. 233
Class Function3d	p. 233
Class Surface	p. 239
Class Spherical	p. 242
Class Cylindrical	p. 245
Class Implicit3d	p. 247
Classes Curve3d and Tube	p. 249
Chapter Summary	p. 252
Programming Exercises	p. 253
A Few Applications of MuPAD Graphics	p. 259
Calculus Graphics	p. 259
Plotting Contours	p. 259
Developing Density Plots	p. 264
Vector Fields	p. 265
Plotting Areas	p. 267
Surfaces of Revolution	p. 272
Presentation Graphics	p. 274
Working with Geometry Objects	p. 279
Transformations of Graphical Objects	p. 295
Turtle Graphics & L-systems	p. 298
Turtle Graphics in MuPAD	p. 298
Plotting L-systems	p. 304
Chapter Summary	p. 309
Programming Exercises	p. 312
Exploring Numbers with MuPAD	p. 317
Integers in MuPAD	p. 317
Rational Numbers in MuPAD	p. 326
Real Numbers in MuPAD	p. 330
Complex Numbers in MuPAD	p. 335
Chapter Summary	p. 340
Programming Exercises	p. 342
Elementary Algebra and Trigonometry in MuPAD	p. 347
Polynomials	p. 347
Rational Expressions	p. 354
Algebraic Expressions	p. 358
Trigonometric and Other Functions	p. 359
Solving Equations and Inequalities	p. 365
Chapter Summary	p. 372
Programming Exercises	p. 373
Working with Sets and Sentences MuPAD	p. 377
Logic in MuPAD	p. 377
Polish Notation	p. 380
Working with Sets	p. 386
Chapter Summary	p. 396
Programming Exercises	p. 397
Exploring Calculus with MuPAD	p. 401
Limits	p. 401
Derivatives	p. 409
Working with Integrals	p. 419
Infinite Series and Products	p. 428
Calculus of Two Variables	p. 433
Limits of Functions of Two Variables	p. 434
Partial Derivatives	p. 435
Chapter Summary	p. 438
Programming Exercises	p. 439
A Short Introduction to Linear Algebra	p. 445
Checking Resources
Solving Linear Equations	p. 446
Matrices and Operations on Matrices	p. 449
Declaring Matrices in MuPAD	p. 449
Global Operations on Matrices	p. 455
Local Matrix Operations	p. 464
Determinants	p. 469
Chapter Summary	p. 474
Programming Exercises	p. 476
MuPAD Libraries and Procedures	p. 481
MuPAD Libraries (ver. 3.0, 21/02/2004)	p. 482
Operators Represented by Symbols	p. 483
MuPAD Standard Collection	p. 483
Procedures in Standard Collection	p. 483
Functions in Standard Collection	p. 490
Library 'adt' - Abstract Data Types	p. 492
Library 'Ax' - Basic Axiom Constructors	p. 493
Library 'Cat' - Category Constructors	p. 493
Library 'combinat' - Combinatorial Functions	p. 494
Library 'detools' - Methods for Differential Equations	p. 496
Library 'Dom' - Domain Constructors	p. 497
Library 'fp' - Utilities for Functional Programming	p. 498
Library 'generate' - Generate Foreign Formats	p. 499
Library 'Graph' - Utilities for Directed and Undirected Graphs	p. 499
Library 'groebner' - Utilities for Groebner Bases	p. 502
Library 'import' - Utilities for Reading Data	p. 502
Library 'intlib' - Definite and Indefinite Integration	p. 502
Library 'linalg' - the Linear Algebra Package	p. 502
Library 'linopt' - Tools for Linear Optimization	p. 505
Library 'listlib' - Operations on Lists	p. 506
Library 'matchlib' - Pattern Matching Tools	p. 506
Library 'module' - Module Management Tools	p. 506
Library 'numeric' - Tools for Numerical Methods	p. 507
Library 'numlib' - Elementary Number Theory	p. 508
Library 'orthpoly' - Orthogonal Polynomials	p. 510
Library 'output' - Tools for the Output of Data	p. 510
Library 'plot' - 2D and 3D Graphical Objects	p. 511
Library 'polylib' - Tools for Polynomials	p. 515
Library "prog' - Programming Utilities	p. 516
Library 'property' - Properties of Identifiers	p. 517
Library 'Series' - Tools for Series Expansions	p. 519
Library 'solvelib' - Tools for Solving Equations	p. 520
Library 'stats' - Statistical Functions	p. 520
Library 'stringlib' - Tools for String Manipulation	p. 524
Library 'student' - the Student Package	p. 525
Library 'transform' - Integral Transformations	p. 525
Library 'Type' - Predefined Types	p. 525
MuPAD Environmental Variables	p. 527
MuPAD Resources	p. 529
Index	p. 533
Table of Contents provided by Publisher. All Rights Reserved.

MuPAD Pro Computing Essentials

At a Glance

Paperback

Shipping

How to return your order

Defective items

You Can Find This Book In

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