Includes bibliographical references (pages 291-304) and index
CONTENTS NOTE
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1. Elementary Topics -- 2. Domains with Smooth Boundaries -- 3. Measures -- 4. Sobolev Spaces -- 5. Smooth Mappings -- 6. Convexity -- 7. Steiner Symmetrization -- 8. Topics Related to Complex Analysis -- A.1. Metrics on the Collection of Subsets of Euclidean Space -- A.2. The Constants Associated to Euclidean Space
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SUMMARY OR ABSTRACT
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"This comprehensive treatment of domains (in space) emphasizes the growing interaction between analysis and geometry. Geometric analysis, as it is known, is currently an important area of study for both pure and applied mathematicians, physicists, and engineers. Aimed at graduate students of the field, this monograph will be useful in the classroom or as a resource for self-study. The prerequisites are minimal; a good understanding of multivariable calculus and linear algebra will suffice for most purposes."--Jacket