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Student Mathematical Library: The Mathematics of Soap Films : Explorations with Maple by American Mathem American Mathem (2000, Trade Paperback)
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About this product
Product Identifiers
PublisherAmerican Mathematical Society
ISBN-100821821180
ISBN-139780821821183
eBay Product ID (ePID)1730776
Product Key Features
Number of Pages266 Pages
Publication NameThe Mathematics of Soap Films : Explorations with Maple
LanguageEnglish
SubjectGeometry / Differential, Mathematical & Statistical Software
Publication Year2000
TypeTextbook
AuthorAmerican Mathem American Mathem
Subject AreaMathematics, Computers
SeriesStudent Mathematical Library
FormatTrade Paperback
Dimensions
Item Height0.7 in
Item Weight13.3 Oz
Item Length8.5 in
Item Width5.6 in
Additional Product Features
Intended AudienceScholarly & Professional
LCCN00-041614
Series Volume Number10
IllustratedYes
Volume NumberVol. 10
Table Of ContentSurface tension; A quick trip through differential geometry and complex variables; The mathematics of soap films; The calculus of variations and shape; Maple, soap films and minimal surfaces; Bibliography; Index.
SynopsisNature 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., 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., 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 MapleR 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., 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.
LC Classification NumberQA644.O67 2000
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