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9 Jan 2009
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| Geometric Measure Theory, Fourth Edition: A Beginner's Guide | 
enlarge | Author: Frank Morgan Publisher: Academic Press Category: Book
List Price: $79.95 Buy New: $62.06 You Save: $17.89 (22%)
New (24) Used (4) from $62.06
Media: Hardcover Edition: 4 Number Of Items: 1 Pages: 264 Shipping Weight (lbs): 1.2 Dimensions (in): 8.9 x 6.2 x 0.8
ISBN: 012374444X Dewey Decimal Number: 515.42 EAN: 9780123744449
Publication Date: September 15, 2008 Availability: Usually ships in 1-2 business days Condition: Brand New. Delivery is usually 5 - 8 working days from order, International is by Royal Mail Airmail
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| Editorial Reviews:
Product Description Geometric measure theory has become increasingly essential to geometry as well as numerous and varied physical applications. The fourth edition of this leading text/reference introduces the theory, the framework for the study of crystal growth, clusters of soap bubbles, and similar structures involving minimization of energy.
Over the past thirty years, this theory has contributed to major advances in geometry and analysis including, for example, the original proof of the positive mass conjecture in cosmology.
This fourth edition of Geometric Measure Theory: A Beginner's Guide presents, the proofs of the double bubble and the hexagonal honeycomb conjectures.
Four new chapters lead the reader through treatments of the Weaire-Phelan counterexample of Kelvin's conjecture, Almgren's optimal isoperimetric inequality, and immiscible fluids and crystals.
The abundant illustrations, examples, exercises, and solutions in this book will enhance its reputation as the most accessible introduction to the subject.
New to the 4th edition: -Authors' engaging, clear writing style style helps the reader to understand an extremely difficult area -Emphasizes geometry over proofs and includes a bibliography and examples -Updated information on soap bubbles, volume constraints, surfaces in manifolds, free boundaries, and Besicovitch constant results -Four new chapters covering treatments of the Weaire-Phelan counterexample of Kelvin's conjecture, Almgren's optimal isoperimetric inequality, and immiscible fluids and crystals
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