Multivariable Calculus and Mathematica® : With Applications to Geometry and Physics

Kevin R. Coombes, Jonathan M. Rosenberg, Ronald L. Lipsman

ISBN 10: 0387983600 / ISBN 13: 9780387983608

Verlag: Springer New York, 1998

Beschreibung

Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher.

Bestandsnummer des Verkäufers 166/202

Bibliografische Details

• Titel: Multivariable Calculus and Mathematica® : With Applications to Geometry and Physics
• Verlag: Springer New York
• Erscheinungsjahr: 1998
• Sprache: Englisch
• ISBN-10: 0387983600
• ISBN-13: 9780387983608
• Einband: Softcover
• Zustand: Sehr gut
• Verkäuferkataloge:
  • Bücher

Über diesen Titel

Inhaltsangabe

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.

Reseña del editor

Aiming to "modernise" the course through the integration of Mathematica, this publication introduces students to its multivariable uses, instructs them on its use as a tool in simplifying calculations, and presents introductions to geometry, mathematical physics, and kinematics. The authors make it clear that Mathematica is not algorithms, but at the same time, they clearly see the ways in which Mathematica can make things cleaner, clearer and simpler. The sets of problems give students an opportunity to practice their newly learned skills, covering simple calculations, simple plots, a review of one-variable calculus using Mathematica for symbolic differentiation, integration and numerical integration, and also cover the practice of incorporating text and headings into a Mathematica notebook. The accompanying diskette contains both Mathematica 2.2 and 3.0 version notebooks, as well as sample examination problems for students, which can be used with any standard multivariable calculus textbook. It is assumed that students will also have access to an introductory primer for Mathematica.