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Tobias Holck Colding - A Course in Minimal Surfaces (Graduate Studies in Mathematics) - 9780821853238 - V9780821853238
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A Course in Minimal Surfaces (Graduate Studies in Mathematics)

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Description for A Course in Minimal Surfaces (Graduate Studies in Mathematics) Hardcover. Series: Graduate Studies in Mathematics. Num Pages: 313 pages, illustrations. BIC Classification: PBMP. Category: (G) General (US: Trade). Dimension: 262 x 187 x 22. Weight in Grams: 772.
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.

Product Details

Format
Hardback
Publication date
2011
Publisher
American Mathematical Society
Condition
New
Series
Graduate Studies in Mathematics
Number of Pages
325
Place of Publication
Providence, United States
ISBN
9780821853238
SKU
V9780821853238
Shipping Time
Usually ships in 4 to 8 working days
Ref
99-1

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