A Course in Minimal Surfaces is popular PDF and ePub book, written by Tobias H. Colding in 2011, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, A Course in Minimal Surfaces can be Read Online from any device for your convenience.
A Course in Minimal Surfaces Book PDF Summary
"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."--Publisher's description.
Detail Book of A Course in Minimal Surfaces PDF
- Author : Tobias H. Colding
- Release : 01 October 2024
- Publisher : American Mathematical Soc.
- ISBN : 9780821853238
- Genre : Mathematics
- Total Page : 330 pages
- Language : English
- PDF File Size : 17,7 Mb
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