A Course in Minimal Surfaces by Tobias Holck Colding

A Course in Minimal Surfaces by Tobias Holck Colding

Minimal surfaces date back to Euler and Lagrange and the beginning of the calculus of variations. Many of the techniques developed have played key roles in geometry and partial differential equations. Examples include monotonicity and tangent cone analysis originating in the regularity theory for minimal surfaces, estimates for nonlinear equations based on the maximum principle arising in Bernstein’s classical work, and even Lebesgue’s definition of the integral that he developed in his thesis on the Plateau problem for minimal surfaces. This book starts with the classical theory of minimal surfaces and ends up with current research topics. Of the various ways of approaching minimal surfaces (from complex analysis, PDE, or geometric measure theory), the authors have chosen to focus on the PDE aspects of the theory. The book also contains some of the applications of minimal surfaces to other fields including low dimensional topology, general relativity, and materials science. The only prerequisites needed for this book are a basic knowledge of Riemannian geometry and some familiarity with the maximum principle.

SKU	Unavailable
ISBN 13	9780821853238
ISBN 10	0821853236
Title	A Course in Minimal Surfaces
Author	Tobias Holck Colding
Series	Graduate Studies In Mathematics
Condition	Unavailable
Binding Type	Hardback
Publisher	American Mathematical Society
Year published	2011-04-30
Number of pages	325
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note	Unavailable