Discovering Mathematics with Maple

An Interactive Exploration for Mathematicians, Engineers and Econometricians

By: R.J. Stroeker, J.F. Kaashoek

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CD-ROM | 1 April 1999

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248 Pages

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24.77 x 17.78 x 1.27

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This unusual introduction to Maple shows readers how Maple or any other computer algebra system fits naturally into a mathematically oriented work environment. Designed for mathematicians, engineers, econometricians, and other scientists, this book shows how computer algebra can enhance their theoretical work. A CD-ROM contains all the Maple worksheets presented in the book.

Industry Reviews

"This book distinguishes itself... [the] reader learns how to use MAPLE(R) by posing problems of strictly mathematical nature, and--as a result--the reader gets insight into the practical and theoretical framework mathematics... Highly recommended."

-Simulation News Europe

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You Can Find This Book In

Non-Fiction Computing & I.T.Business Applications Mathematical & Statistical Software Mathematics Algebra Computer Science

Preface	p. xiii
Plan of this Book	p. xv
A Tour of Maple V
Introduction	p. 1
Maple's User Interface	p. 3
Just a Maple Session	p. 4
Numerical Calculations	p. 5
Symbolic Calculations	p. 9
Worksheets and Assignments	p. 15
Worksheet 1a. Numbers	p. 15
Assignments 1a. Numbers	p. 21
Worksheet 1b. Variables and Names	p. 21
Assignments 1b. Variables and Names	p. 29
Exercises	p. 30
Survey of Used Maple Expressions	p. 32
Functions and Sequences
Introduction	p. 35
Selected Concepts from Analysis	p. 36
A Tricky Probability Function	p. 38
Mathematical Functions	p. 38
Investigating a Probability Function	p. 40
Investigating a Strange Sequence	p. 45
Worksheets and Assignments	p. 47
Exercises	p. 60
Survey of Used Maple Expressions	p. 62
Matrices and Vectors
Introduction	p. 63
Selected Concepts from Linear Algebra	p. 64
A Least Squares Filter	p. 66
Matrices and Vectors	p. 66
Removing Noise from a Data Set	p. 68
Worksheets and Assignments	p. 72
Exercises	p. 85
Survey of Used Maple Expressions	p. 86
Counting and Summation
Introduction	p. 89
Selected Concepts from Discrete Mathematics	p. 90
Binomial Coefficients	p. 92
Maple's binomial Function	p. 93
Two Binomial Identities	p. 95
The Binomial Series	p. 96
The De Moivre-Laplace Limit Theorem	p. 97
Worksheets and Assignments	p. 102
Worksheet 4a. Symbolic Summation	p. 102
Assignments 4a. Symbolic Summation	p. 106
Worksheet 4b. Counting and Random Numbers	p. 108
Assignments 4b. Counting and Random Numbers	p. 113
Exercises	p. 114
Survey of Used Maple Expressions	p. 116
Derivative and Integral
Introduction	p. 119
Further Concepts from Analysis	p. 120
Riemann's Non-differentiable Function	p. 122
Investigating the Riemann Function	p. 122
Finding a Primitive Function	p. 130
Worksheets and Assignments	p. 134
Exercises	p. 147
Survey of Used Maple Expressions	p. 150
Vector Spaces and Linear Mappings
Introduction	p. 151
Further Concepts from Linear Algebra	p. 152
Diagonalization and the SVD	p. 155
A Simple Orthogonal Projection	p. 155
Singular Value Decomposition	p. 159
Worksheets and Assignments	p. 166
Worksheet 6a. Linear Mappings	p. 167
Assignments 6a. Linear Mappings	p. 170
Worksheet 6b. Eigenvectors and Eigenspaces	p. 171
Assignments 6b. Eigenvectors and Eigenspaces	p. 176
Exercises	p. 177
Survey of Used Maple Expressions	p. 180
Exercises in Experimentation
Upper Bound for a Parameterized Function	p. 181
Matrix Differentiation	p. 183
Chaotic Sequences	p. 185
Hints and Answers
Exercises 1.5
Exercises 2.5
Exercises 3.5
Exercises 4.5
Exercises 5.5
Exercises 6.5
Quick Guide to Selected Maple Commands
Linear Algebra	p. 204
Elementary Matrix Algebra	p. 204
Elementary Vector Algebra	p. 205
Solving a System of Linear Equations Ax = b	p. 206
Eigenvalues and Eigenvectors	p. 207
Mathematical Analysis	p. 207
Writing Your Own Procedures	p. 208
Plotting the Graph of a Function	p. 208
Computing Limits	p. 208
Differential Calculus	p. 209
Integration	p. 209
Solving Equations	p. 210
Solving Differential/Difference Equations	p. 211
Statistics	p. 211
Probabilities	p. 212
Generating Random Numbers	p. 212
Analysis of Statistical Data	p. 213
Linear Programming	p. 213
Mathematical Finance	p. 214
Bibliography	p. 217
Index	p. 219
Table of Contents provided by Syndetics. All Rights Reserved.

Discovering Mathematics with Maple

An Interactive Exploration for Mathematicians, Engineers and Econometricians

At a Glance

CD-ROM

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

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