The Mathematics of Soap Films Explorations with Maple is popular PDF and ePub book, written by John Oprea in 2000, it is a fantastic choice for those who relish reading online the Computers genre. Let's immerse ourselves in this engaging Computers book by exploring the summary and details provided below. Remember, The Mathematics of Soap Films Explorations with Maple can be Read Online from any device for your convenience.
The Mathematics of Soap Films Explorations with Maple Book PDF Summary
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.
Detail Book of The Mathematics of Soap Films Explorations with Maple PDF
- Author : John Oprea
- Release : 30 September 2024
- Publisher : American Mathematical Soc.
- ISBN : 9780821821183
- Genre : Computers
- Total Page : 282 pages
- Language : English
- PDF File Size : 13,7 Mb
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