The Student's Introduction to MATHEMATICA ®: A Handbook for Precalculus, Calculus, and Linear Algebra

Pirmais vāks
Cambridge University Press, 1999. gada 13. maijs - 280 lappuses
Increasingly, educators are turning to Mathematica for instructing students in science and mathematics. The growing popularity of this exciting software package creates a need for undergraduate students to be familiar with its many functions and uses. The Student's Introduction to Mathematica® neatly follows a standard mathematics curriculum, allowing students to practice what they learn. The text lucidly presents those aspects of the software that are the most useful to students. Mathematica commands are introduced as a means of solving problems and illuminating the underlying mathematical principles. Following a brief introduction to the program, Bruce and Eve Torrence discuss functions and graphs, algebra, calculus, and multivariate calculus, and finish with a chapter on linear algebra. No prerequisites other than high school level mathematics are assumed. This work can be used in a variety of courses, from precalculus, through single and multi-variable calculus, to linear algebra. In addition to its course use, this book is an excellent tutorial for those wishing to learn Mathematica and brush up on their mathematics at the same time. The volume is compatible with Mathematica version 3 and higher.
 

Atlasītās lappuses

Saturs

Getting Started
1
13 The First Computation Is Slow
2
15 Input and Output
3
16 The BasicInput Palette and TwoDimensional Input
4
17 Decimal In Decimal Out
6
18 Use Parentheses to Group Terms
7
19 Three WellKnown Constants
9
111 Naming Things
16
44 Simplifying and Manipulating Rational Functions
107
45 Simplifying and Manipulating Other Expressions
111
46 Solving General Equations
117
47 Solving Difference Equations
124
48 Solving Systems of Equations
126
Calculus
130
52 Working with Difference Quotients
133
53 The Derivative
135

112 Saving Your Work and Quitting Mathematica
18
113 Some Frequently Asked Questions Regarding Mathematicas Syntax
19
Working with Mathematica
22
23 Printing
24
24 Creating Web Pages
25
26 Tips for Working Effectively
27
27 Getting Help from Mathematica
33
28 Loading Packages
36
Dealing with Them and Preventing Them
39
Functions and Their Graphs
45
32 Clearing a Function
47
33 Producing a Table of Values
48
34 Plotting a Function
51
35 Using Mathematicas Plot Options
55
36 Working with Piecewise Defined Functions
66
37 Plotting Implicitly Defined Functions
68
38 Superimposing Plots
71
39 Animating Plots
77
311 Manipulating Data An Introduction to Lists
82
312 Importing Data into Mathematica
88
313 Working with Difference Equations
90
Algebra
94
42 Finding Roots of Polynomials with Solve and NSolve
97
43 Suppressing Complex Output
104
54 Higher Derivatives
138
55 Maxima and Minima
139
56 Inflection Points
144
57 Implicit Differentiation
146
58 Differential Equations
147
59 Integration
150
510 Definite and Improper Integrals
153
511 Numerical Integration
162
512 Series
166
Multivariable Calculus
171
62 RealValued Functions of Two or More Variables
176
63 Parametric Curves and Surfaces
201
64 Other Coordinate Systems
208
65 Vector Fields
220
66 Line Integrals and Surface Integrals
227
Linear Algebra
232
72 Performing Gaussian Elimination
241
73 Matrix Operations
244
74 Solving Systems of Linear Equations
248
75 Vector Spaces
253
76 Eigenvalues and Eigenvectors
259
77 Visualizing Linear Transformations
264
Index
275
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