Geometric measure theory : a beginner's guide /: a beginner's guide. (©2000)

• Record Type: Book
• Further Information: Note: Frank Morgan ; illustrated by James F. Bredt.
• Other Names: (Professor of Mathematics, Williams College), Morgan, Frank
• Contents: Preface. Geometric Measure Theory. Measures. Lipschitz Functions and Rectifiable Sets. Normal and Rectifiable Currents. The Compactness Theorem and the Existence of Area-Minimizing Surfaces. Examples of Area-Minimizing Surfaces. The Approximation Theorem. Survey of Regularity Results. Monotonicity and Oriented Tangent Cones. The Regularity of Area-Minimizing Hypersurfaces. Flat Chains Modulo v, Varifolds, and (M, E, )-Minimal Sets. Miscellaneous Useful Results. Soap Bubble Clusters. Proof of Double Bubble Conjecture. The Hexagonal Honeycomb and Kelvin Conjectures. Immiscible Fluids and Crystals. Isoperimetric Theorems in General Codimension. Solutions to Exercises. Bibliography. Index of Symbols. Name Index. Subject Index.
• Edition: 3rd ed
• Publisher Details: San Diego : Academic Press
• Publication Date: 2000
• Copyright Date: 2000
• Extent: 1 online resource (ix, 226 pages), illustrations
• Subjects: 515/.42; Geometric measure theory; MATHEMATICS -- Calculus; MATHEMATICS -- Mathematical Analysis; Geometric measure theory; Electronic books
• Languages: English
• ISBNs: 9780080525600; 0080525601
• Related ISBNs: 9780125068512; 0125068514
• Notes: Note: Includes bibliographical references (pages 203-215) and indexes.; Note: Print version record.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.