Geometric measure theory: a beginner's guide
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
San Diego
Academic Press
2000
|
| Edition: | 3rd ed |
| Subjects: | |
| Item Description: | Print version record |
| Physical Description: | 1 online resource (ix, 226 pages) illustrations |
| ISBN: | 9780080525600 0080525601 |
Staff View
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| 505 | 8 | |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 | |
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| author | Morgan, Frank |
| author_facet | Morgan, Frank |
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| contents | 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 |
| ctrlnum | (ZDB-4-ENC)ocn162129409 (OCoLC)162129409 (DE-599)BVBBV045341734 |
| 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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| id | DE-604.BV045341734 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T08:15:25Z |
| institution | BVB |
| isbn | 9780080525600 0080525601 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030728437 |
| oclc_num | 162129409 |
| open_access_boolean | |
| physical | 1 online resource (ix, 226 pages) illustrations |
| psigel | ZDB-4-ENC |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Academic Press |
| record_format | marc |
| 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 2000 1 online resource (ix, 226 pages) illustrations txt rdacontent c rdamedia cr rdacarrier Print version record 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 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 Erscheint auch als Druck-Ausgabe Morgan, Frank Geometric measure theory 3rd ed San Diego : Academic Press, 2000 0125068514 9780125068512 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Morgan, Frank Geometric measure theory a beginner's guide 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 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 | MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh Geometric measure theory fast Geometric measure theory Geometrische Maßtheorie (DE-588)4125258-5 gnd |
| topic_facet | MATHEMATICS / Calculus MATHEMATICS / Mathematical Analysis Geometric measure theory Geometrische Maßtheorie |
| work_keys_str_mv | AT morganfrank geometricmeasuretheoryabeginnersguide |