Mathematics of Soap BubblesDate: 22 Feb 1995 12:15:40 -0500 From: CAROL SCARBOROUGH Subject: soap bubbles Do you know anything or can you direct me to someone who does know something about the mathematics of soap bubbles? This is a great way to find minimization of area. My e-mail address is scar5773@mars.rowan.edu Thanks for anything you can tell me. I am doing my senior seminar paper on soap bubbles. Date: 22 Feb 1995 16:54:06 -0500 From: Dr. Ken Subject: Re: soap bubbles Hello there! I did a search on our library's catalog and found a book that you might want to take a look at. AUTHOR Isenberg, Cyril. TITLE The science of soap films and soap bubbles / Cyril Isenberg. PUBLISHER New York : Dover Publications, 1992. DESCRIPT xiv, 188 p. : ill. ; 23 cm. SUBJECT Soap-bubbles. Soap films. NOTE Originally published: Clevedon, Avon, England : Tieto, 1978. Includes bibliographical references (p. 178-182) and index. ISBN 0486269604. I presume that this book gives a pretty general introduction to the science and mathematics of soap films. If you want a more in-depth look at soap films from a mathematical point of view, you'll need to look at some Differential Geometry. Soap bubbles are an example of what's called a Minimal Surface, defined as a surface that has mean curvature zero everywhere (mean curvature is only one of several ways to measure the curvature of a surface at a point). A good Differential Geometry book is Do Carmo's text: AUTHOR Carmo, Manfredo Perdigao do. TITLE Differential geometry of curves and surfaces / Manfredo P. do Carmo. PUBLISHER Englewood Cliffs, N.J. : Prentice-Hall, c1976. DESCRIPT viii, 503 p. : ill. ; 24 cm. SUBJECT Geometry, Differential. Curves. Surfaces. NOTE "A free translation, with additional material, of a book and a set of notes, both published originally in Portuguese." Includes bibliographical references and index. ISBN 0132125897 : I hope this helps you! -Ken "Dr." Math |
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