Contents of "Multivariable Calculus and Mathematica"

Contents:
Multivariable Calculus and Mathematica,
with Applications to Geometry
and Physics
Kevin R. Coombes, Ronald L. Lipsman and Jonathan M. Rosenberg
© Copyright 1998, TELOS/Springer-Verlag
|
Preface |
vii |
| 1. |
Introduction |
1 |
|
Problem Set A: Review of One-Variable Calculus |
9 |
| 2. |
Vectors and Graphics |
17 |
|
Problem Set B: Vectors and Graphics |
29 |
| 3. |
Geometry of Curves |
35 |
|
| Problem Set C: Curves |
53 |
| 4. |
Kinematics |
65 |
|
| Problem Set D: Kinematics |
73 |
| 5. |
Directional Derivatives |
81 |
|
| Problem Set E: Directional Derivatives
and the Gradient |
95 |
| 6. |
Geometry of Surfaces |
103 |
|
| Problem Set F: Surfaces |
123 |
| 7. |
Optimization in Several Variables |
133 |
|
| Problem Set G: Optimization |
145 |
| 8. |
Multiple Integrals |
153 |
|
Problem Set H: Multiple Integrals |
173 |
| 9. |
Physical Applications of Vector Calculus |
185 |
|
| Problem Set I: Physical Applications |
197 |
| 10. |
Mathematica Tips |
211 |
|
Glossary |
225 |
|
Sample Notebook Solutions |
239 |
|
Index |
275 |
|
|
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