Geometric measure theory: a beginner's guide
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
San Diego
Academic Press
c2000
|
| Ausgabe: | 3rd ed |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 Includes bibliographical references (p. 203-215) and indexes |
| Beschreibung: | 1 Online-Ressource (ix, 226 p.) |
| ISBN: | 9780125068512 0125068514 9780080525600 0080525601 |
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| 500 | |a 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 | ||
| 500 | |a Includes bibliographical references (p. 203-215) and indexes | ||
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Datensatz im Suchindex
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| author | Morgan, Frank |
| author_facet | Morgan, Frank |
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| bvnumber | BV042317238 |
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| dewey-full | 515/.42 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.42 |
| dewey-search | 515/.42 |
| dewey-sort | 3515 242 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 3rd ed |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:18:16Z |
| institution | BVB |
| isbn | 9780125068512 0125068514 9780080525600 0080525601 |
| language | English |
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| spelling | Morgan, Frank Verfasser aut Geometric measure theory a beginner's guide Frank Morgan ; illustrated by James F. Bredt 3rd ed San Diego Academic Press c2000 1 Online-Ressource (ix, 226 p.) txt rdacontent c rdamedia cr rdacarrier 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 Includes bibliographical references (p. 203-215) and indexes Analytic geometry MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh Geometric measure theory fast Geometric measure theory Geometrische Maßtheorie (DE-588)4125258-5 gnd rswk-swf Geometrische Maßtheorie (DE-588)4125258-5 s 1\p DE-604 http://www.sciencedirect.com/science/book/9780125068512 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Morgan, Frank Geometric measure theory a beginner's guide Analytic geometry MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh Geometric measure theory fast Geometric measure theory Geometrische Maßtheorie (DE-588)4125258-5 gnd |
| subject_GND | (DE-588)4125258-5 |
| title | Geometric measure theory a beginner's guide |
| title_auth | Geometric measure theory a beginner's guide |
| title_exact_search | Geometric measure theory a beginner's guide |
| title_full | Geometric measure theory a beginner's guide Frank Morgan ; illustrated by James F. Bredt |
| title_fullStr | Geometric measure theory a beginner's guide Frank Morgan ; illustrated by James F. Bredt |
| title_full_unstemmed | Geometric measure theory a beginner's guide Frank Morgan ; illustrated by James F. Bredt |
| title_short | Geometric measure theory |
| title_sort | geometric measure theory a beginner s guide |
| title_sub | a beginner's guide |
| topic | Analytic geometry MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh Geometric measure theory fast Geometric measure theory Geometrische Maßtheorie (DE-588)4125258-5 gnd |
| topic_facet | Analytic geometry MATHEMATICS / Calculus MATHEMATICS / Mathematical Analysis Geometric measure theory Geometrische Maßtheorie |
| url | http://www.sciencedirect.com/science/book/9780125068512 |
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