Format:
Online-Ressource (XIII, 266 S.)
,
Ill., graph. Darst.
Edition:
Online-Ausg.
ISBN:
9781470421274
Series Statement:
Student Mathematical Library 10
Content:
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
Note:
Includes bibliographical references (p. 261 - 264) and index
Additional Edition:
ISBN 1470421275
Additional Edition:
ISBN 0821821180
Additional Edition:
ISBN 9780821821183
Additional Edition:
Elektronische Reproduktion von Oprea, John, 1953 - The mathematics of soap films Providence, RI : American Mathematical Society, 2000 ISBN 0821821180
Language:
English
Subjects:
Mathematics
Keywords:
Mathematisches Modell
;
Seifenblase
;
Maple
;
Minimalfläche
;
Minimalfläche
;
Seifenblase
;
Mathematisches Modell
Author information:
Oprea, John 1953-
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