Elements of the Geometry and Topology of Minimal Surfaces in Three-dimensional Space
Book Details
Format
Paperback / Softback
Book Series
Translations of Mathematical Monographs
ISBN-10
0821837915
ISBN-13
9780821837917
Publisher
American Mathematical Society
Imprint
American Mathematical Society
Country of Manufacture
US
Country of Publication
GB
Publication Date
Sep 30th, 2005
Print length
142 Pages
Weight
287 grams
Ksh 25,400.00
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Describes modern and visual aspects of the theory of minimal, two-dimensional surfaces in three-dimensional space. This book covers such topics as topological properties of minimal surfaces, stable and unstable minimal films, classical examples, and the Morse-Smale index of minimal two-surfaces in Euclidean space.
This book grew out of lectures presented to students of mathematics, physics, and mechanics by A. T. Fomenko at Moscow University, under the auspices of the Moscow Mathematical Society. The book describes modern and visual aspects of the theory of minimal, two-dimensional surfaces in three-dimensional space. The main topics covered are: topological properties of minimal surfaces, stable and unstable minimal films, classical examples, the Morse-Smale index of minimal two-surfaces in Euclidean space, and minimal films in Lobachevskian space. Requiring only a standard first-year calculus and elementary notions of geometry, this book brings the reader rapidly into this fascinating branch of modern geometry.
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