Geometric Measure Theory


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Geometric Measure Theory


Geometric Measure Theory

Author: Frank Morgan

language: en

Publisher: Elsevier

Release Date: 2014-05-19


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Geometric measure theory is the mathematical framework for the study of crystal growth, clusters of soap bubbles, and similar structures involving minimization of energy. Morgan emphasizes geometry over proofs and technicalities, and includes a bibliography and abundant illustrations and examples. This Second Edition features a new chapter on soap bubbles as well as updated sections addressing volume constraints, surfaces in manifolds, free boundaries, and Besicovitch constant results. The text will introduce newcomers to the field and appeal to mathematicians working in the field.

Geometric Measure Theory


Geometric Measure Theory

Author: Herbert Federer

language: en

Publisher: Springer

Release Date: 2014-11-25


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From the reviews: "... Federer's timely and beautiful book indeed fills the need for a comprehensive treatise on geometric measure theory, and his detailed exposition leads from the foundations of the theory to the most recent discoveries. ... The author writes with a distinctive style which is both natural and powerfully economical in treating a complicated subject. This book is a major treatise in mathematics and is essential in the working library of the modern analyst." Bulletin of the London Mathematical Society

Geometric Measure Theory and the Calculus of Variations


Geometric Measure Theory and the Calculus of Variations

Author: William K. Allard

language: en

Publisher: American Mathematical Soc.

Release Date: 1986


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Includes twenty-six papers that survey a cross section of work in modern geometric measure theory and its applications in the calculus of variations. This title provides an access to the material, including introductions and summaries of many of the authors' much longer works and a section containing 80 open problems in the field.