The Mathematics of Soap Films: Explorations with Maple

Language: English

Published by Universities Press, India, 2026

ISBN 10: 9349750988 (ISBN 13: 9789349750982)

  • Softcover
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Seller: Vedams eBooks (P) Ltd, New Delhi, IndiaVedams eBooks (P) Ltd

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Softcover

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Item description from seller

Nature tries to minimize the surface area of a soap film through the action of surface tension. The process can be understood mathematically by using differential geometry, complex analysis, and the calculus of variations. This book employs ingredients from each of these subjects to tell the mathematical story of soap films. The text is fully self-contained, bringing together a mixture of types of mathematics along with a bit of the physics that underlies the subject. The development is primarily from first principles, requiring no advanced background material from either mathematics or physics. Through the Maple® applications, the reader is given tools for creating the shapes that are being studied. Thus, you can “see” a fluid rising up an inclined plane, create minimal surfaces from complex variables data, and investigate the “true” shape of a balloon. Oprea also includes descriptions of experiments and photographs that let you see real soap films on wire frames. The theory of minimal surfaces is a beautiful subject, which naturally introduces the reader to fascinating, yet accessible, topics in mathematics. Oprea's presentation is rich with examples, explanations, and applications. It would make an excellent text for a senior seminar or for independent study by upper-division mathematics or science majors.…

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Bibliographic details

Title
The Mathematics of Soap Films: Explorations with Maple
Author
John Oprea
Publisher
Universities Press, India
Publication year
2026
Condition
New
Binding
Soft cover
Language
English

Vedams eBooks (P) Ltd

New Delhi, India

4-star seller

AbeBooks seller since January 30, 2009

Shipping rates from India to U.S.A.

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