**Translations of Mathematical Monographs**

1991;
142 pp;
Softcover

MSC: Primary 53;
Secondary 49; 57

**Print ISBN: 978-0-8218-3791-7
Product Code: MMONO/93.S**

List Price: $62.00

Individual Member Price: $49.60

#### Supplemental Materials

# Elements of the geometry and topology of minimal surfaces in three-dimensional space

Share this page *Edited by *
*A T Fomenko; Avgustin Tuzhilin*

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.

#### Table of Contents

# Table of Contents

## Elements of the geometry and topology of minimal surfaces in three-dimensional space

#### Reviews

Plenty of motivational examples. The prerequisites are kept to a minimum - a large portion of the book should be accessible to undergraduate mathematics students. Clear and elementary proofs coupled with illuminating illustrations make the book pleasant reading.

-- Mathematical Reviews

Serves as a beautiful introduction to the subject of minimal surfaces.

-- Zentralblatt MATH