Divided into 12 sections, this text explores parametric and nonparametric surfaces, surfaces that minimize area, isothermal parameters on surfaces, Bernstein's theorem and much more. Revised edition includes material on minimal surfaces in relativity and topology, and updated work on Plateau's problem and on isoperimetric inequalities. 1969 edition.
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3 of 3 people found the following review helpful:
5.0 out of 5 stars
A classical source,
By A Customer
This review is from: A Survey of Minimal Surfaces (Paperback)
Osserman's survey is both an excellent starting point for beginners and a reference for some interesting problems in the subject (although it was written some years ago!). Weiesrtrass' classical representation of minimal surfaces, their topology...how can all these be in such a small book?
4 of 7 people found the following review helpful:
4.0 out of 5 stars
Accessibility, Understandability to Balance Theorem Proving,
By R. Bagula "Roger L. Bagula" (Lakeside, Ca United States) - See all my reviews (VINE VOICE) (REAL NAME)
Amazon Verified Purchase(What's this?)
This review is from: A Survey of Minimal Surfaces (Paperback)
In my experience accessibility and understandability have to balance theorem proving.This book is well on it's way to becoming a modern classic even if it is somewhat dated in it's material. Robert Osserman is recognized as a great teacher of mathematics by many in the mathematics community. But his approach has come between the seeker of knowledge and his goal of understanding and mastery of the subject. It is not his fault as in a peer review he would be generally rewarded for his approach as he has been in his paper publishing. But I can see grad students rushing to resell this book as it has a limited amount of useful reference information and very few of the actual definitions of the curves talked about. The references are classic and many of the people are dead or retired by now. It is access to the actual formulations for the minimal surfaces and explanations that help in understanding the material not by theorem proving , but by visualization and explanation that are needed. In that: this book fails. But compared to many other such mathematics books , it is actually superior!
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