A Survey of Minimal Surfaces (Dover Books on Mathematics)

Book Details

• Author: Robert Osserman

• Publisher: Dover

• Language: English

• Edition: New Edition

• ISBN: 9780486649986

• Pages: 224

• Cover: Paperback

• Dimensions:

  • 8.5 x 5.5 x 0.8 inches

About The Book

Minimal Surfaces by Robert Osserman offers a clear and comprehensive exploration of minimal surfaces, a fundamental topic in differential geometry. This new edition builds on the original work with significant revisions and updates, making it an essential reference for students and professionals in mathematics and physics.

Key features of the book include:

• Comprehensive Coverage: The book covers a wide range of topics related to minimal surfaces, including parametric and non-parametric surfaces, surfaces that minimize area, isothermal parameters on surfaces, and Bernstein’s theorem.

• Updated and Expanded Content: This edition includes substantial revisions, particularly in the application of minimal surfaces to settle important conjectures in relativity and topology, as well as updated work on Plateau’s problem and isoperimetric inequalities.

• Accessible Style: The author presents complex mathematical concepts in a clear and understandable manner, making it accessible to readers with a solid foundation in mathematics.

• New Appendix and References: The book includes a new appendix, supplementary references, and expanded indexes, providing readers with additional resources and further reading on minimal surfaces.

• Application to Relativity and Topology: The book also highlights the significant role minimal surfaces play in modern mathematical physics, particularly in areas like relativity and topology.

This book is an essential resource for anyone interested in minimal surfaces, from undergraduate students to researchers, offering both theoretical insights and practical applications of this fascinating subject.