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Multivariable Calculus and Mathematica(r) : With Applications to Geometry and Physics - Kevin R. Coombes

Multivariable Calculus and Mathematica(r)

With Applications to Geometry and Physics


Published: 15th May 1998
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One of the authors' stated goals for this publication is to "modernize" the course through the integration of Mathematica. Besides introducing students to the multivariable uses of Mathematica, and instructing them on how to use it as a tool in simplifying calculations, they also present intoductions to geometry, mathematical physics, and kinematics, topics of particular interest to engineering and physical science students. In using Mathematica as a tool, the authors take pains not to use it simply to define things as a whole bunch of new "gadgets" streamlined to the taste of the authors, but rather they exploit the tremendous resources built into the program. They also make it clear that Mathematica is not algorithms. At the same time, they clearly see the ways in which Mathematica can make things cleaner, clearer and simpler. The problem sets give students an opportunity to practice their newly learned skills, covering simple calculations with Mathematica, simple plots, a review of one-variable calculus using Mathematica for symbolic differentiation, integration and numberical integration. They also cover the practice of incorporating text and headings into a Mathematica notebook. A DOS-formatted diskette accompanies the printed work, containing both Mathematica 2.2 and 3.0 version notebooks, as well as sample examination problems for students. This supplementary work can be used with any standard multivariable calculus textbook. It is assumed that in most cases students will also have access to an introductory primer for Mathematica.

Introductionp. 1
Vectors and Graphicsp. 17
Geometry of Curvesp. 35
Kinematicsp. 65
Directional Derivativesp. 81
Geometry of Surfacesp. 103
Optimization in Several Variablesp. 133
Multiple Integralsp. 153
Physical Applications of Vector Calculusp. 185
Mathematica Tipsp. 211
Glossaryp. 225
Sample Notebook Solutionsp. 239
Indexp. 275
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780387983608
ISBN-10: 0387983600
Series: Lecture Notes in Computer Sci.;1376
Audience: General
Format: Paperback
Language: English
Number Of Pages: 283
Published: 15th May 1998
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 23.52 x 17.88  x 1.75
Weight (kg): 0.52