Geometric measure theory has become increasingly essential to
geometry as well as numerous and varied physical applications. The
third 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 third edition of Geometric Measure Theory: A Beginner's Guide
presents, for the first time in print, 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.
Academic Press Inc
|Country of origin:
||Electronic book text - Windows
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