Overview
- Authors:
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Kevin R. Coombes
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Department of Mathematics, University of Maryland, College Park, USA
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Ronald L. Lipsman
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Department of Mathematics, University of Maryland, College Park, USA
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Jonathan M. Rosenberg
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Department of Mathematics, University of Maryland, College Park, USA
A thoroughly modern treatment of the subject matter
The book is clearly written and includes many examples using the software
Mathematica is utilized to facilitate understanding of the subject
This book relates the subject to other areas, such as geometry, mathematical physics, kinematics
Includes Mathematica Notebooks and problems on the diskette
Utilizes the latest 3.0 version of Mathematica
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Table of contents (10 chapters)
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Front Matter
Pages i-xiii
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- Kevin R. Coombes, Ronald L. Lipsman, Jonathan M. Rosenberg
Pages 1-15
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- Kevin R. Coombes, Ronald L. Lipsman, Jonathan M. Rosenberg
Pages 17-34
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- Kevin R. Coombes, Ronald L. Lipsman, Jonathan M. Rosenberg
Pages 35-63
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- Kevin R. Coombes, Ronald L. Lipsman, Jonathan M. Rosenberg
Pages 65-80
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- Kevin R. Coombes, Ronald L. Lipsman, Jonathan M. Rosenberg
Pages 81-102
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- Kevin R. Coombes, Ronald L. Lipsman, Jonathan M. Rosenberg
Pages 103-131
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- Kevin R. Coombes, Ronald L. Lipsman, Jonathan M. Rosenberg
Pages 133-151
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- Kevin R. Coombes, Ronald L. Lipsman, Jonathan M. Rosenberg
Pages 153-183
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- Kevin R. Coombes, Ronald L. Lipsman, Jonathan M. Rosenberg
Pages 185-209
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- Kevin R. Coombes, Ronald L. Lipsman, Jonathan M. Rosenberg
Pages 211-224
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Back Matter
Pages 225-283
About this book
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.
