Info
- Utilizzare la checkbox di selezione a fianco di ciascun documento per attivare le funzionalità di stampa, invio email, download nei formati disponibili del (i) record.
Geometric measure theory : a beginner's guide / / Frank Morgan
| Geometric measure theory : a beginner's guide / / Frank Morgan |
| Autore | Morgan Frank (Professor of Mathematics, Williams College) |
| Pubbl/distr/stampa | San Diego, California ; ; London : , : Academic Press, Inc., , 1988 |
| Descrizione fisica | 1 online resource (154 p.) |
| Disciplina |
515.42
515/.42 |
| Soggetto topico | Geometric measure theory |
| ISBN | 1-4832-7780-1 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front Cover; Geometrie Measure Theory: A Beginner's Guide; Copyright Page; Table of Contents; Preface; CHAPTER 1. Geometric Measure Theory; 1.1. Archetypical Problem; 1.2. Surfaces as a Mappings; 1.3. The Direct Method; 1.4. Rectifiable Currents; 1.5. The Compactness Theorem; 1.6. Advantages of Rectifiable Currents; 1.7. The Regularity of Area-minimizing Rectifiable Currents; CHAPTER 2. Measures; 2.1. Definitions; 2.2. Lebesgue Measure; 2.3. Hausdorff Measure [GMT 2.10]; 2.4. Integralgeometric Measure; 2.5. Densities [GMT 2.9.12, 2.10.19]; 2.6. Approximate Limits [GMT 2.9.12]
2.7. Besicovitch Covering Theorem [GMT 2.8.15]2.8.Corollary. Hn = Ln on Rn; 2.9. Corollary; 2.10. Corollary; EXERCISES; CHAPTER 3. Lipschitz Functions and Rectifiable Sets; 3.1. Lipschitz Functions; 3.2. Rademacher's Theorem [GMT 3.1.6]; 3.3. Approximation of a Lipschitz Function by aC1 Function [GMT 3.1.15].; 3.4.Lemma (Whitney's Extention Theorem) [GMT 3.1.14]; 3.5. Proposition [GMT 2.10.11]; 3.6. Jacobians; 3.7. The Area Formula [GMT 3.2, 3]; 3.8. The Coarea Formula [GMT 3.2.11]; 3.9. Tangent Cones; 3.10. Rectifiable Sets [GMT 3.2.14]; 3.11. Proposition [cf. GMT 3.2.18, 3.2.29] 3.12. Proposition [GMT 3.2.19]3.13. General Area-coarea Formula [GMT 3.2.22]; 3.14. Product of measures [GMT 3.2.23]; 3.16. Crofton's Formula [GMT 3.2.26]; 3.17. Structure Theorem [GMT 3.3.13]; EXERCISES; CHAPTER 4. Normal and Rectifiable Currents; 4.1. Vectors and Differential Forms [GMT, Chapter 1 and 4.1]; 4.2. Currents [GMT 4.1.1, 4.1.7]; 4.3. Important Spaces of Currents [GMT 4.1.24, 4.1.22, 4.1.7, 4.1.5]; 4.4. Theorem [GMT 4.1.28]; 4.5. Normal Currents [GMT 4.1.7, 4.1.12]; 4.6. Proposition [GMT 4.1.17]; 4.7. Theorem [GMT 4.1.20]; 4.8. Theorem [GMT 4.1.23] 4.9. Constancy Theorem [GMT 4.1.31]4.10. Cartesian Products; 4.11. Slicing [GMT 4.2.1]; 4.12. Lemma [GMT 4.2.15]; EXERCISES; CHAPTER 5. The Compactness Theorem and the Existence of Area-Minimizing Surfaces; 5.1. The Deformation Theorem [GMT 4.2.9]; 5.2. Corollary; 5.3. The Isoperimetric Inequality [GMT 4.2.10]; 5.4. The Closure Theorem [GMT 4.2.16]; 5.5. The Compactness Theorem [GMT 4.2.17]; 5.6. The Existence of Area-minimizing Surfaces; 5.7. The Existence of Absolutely and Homologically Minimizing Surfaces in Manifolds [GMT 5.1.6]; EXERCISES; CHAPTER 6. Examples of Area-Minimizing Surfaces 6.1. The Minimal Surface Equation [GMT 5.4.18]6.2. Remarks on Higher Dimensions; 6.3. Complex Analytic Varieties [GMT 5.4.19]; EXERCISES; CHAPTER 7. The Approximation Theorem; 7.1. The Approximation Theorem [GMT 4.1.24]; CHAPTER 8. Survey of Regularity Results; 8.1. Theorem; 8.2. Theorem [Fe]; 8.3. Theorem; 8.4. Boundary Regularity; 8.5. General Ambients and Other Integrands; EXERCISES; CHAPTER 9. Monotonicity and Oriented Tangent Cones; 9.1. Locally Integral Flat Chains [GMT 4.1.24, 4.3.16]; 9.2. Monotonicity of the Mass Ratio; 9.3. Theorem [GMT 5.4.3]; 9.4. Corollary; 9.5. Corollary 9.7. Oriented Tangent Cones [GMT 4.3.16] |
| Record Nr. | UNINA-9910811711603321 |
Morgan Frank (Professor of Mathematics, Williams College)
|
||
| San Diego, California ; ; London : , : Academic Press, Inc., , 1988 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Geometric measure theory [e-book] : a beginner's guide / Frank Morgan ; illustrated by James F. Bredt
| Geometric measure theory [e-book] : a beginner's guide / Frank Morgan ; illustrated by James F. Bredt |
| Autore | Morgan, Frank |
| Edizione | [3rd ed.] |
| Pubbl/distr/stampa | San Diego : Academic Press, c2000 |
| Descrizione fisica | ix, 226 p. : ill. ; 24 cm |
| Disciplina | 515.42 |
| Altri autori (Enti) | ScienceDirect (Online service) |
| Soggetto topico | Geometric measure theory |
| ISBN |
9780125068512
0125068514 |
| Formato | Risorse elettroniche  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 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 |
| Record Nr. | UNISALENTO-991003274019707536 |
|
Morgan, Frank
|
||
| San Diego : Academic Press, c2000 | ||
| Risorse elettroniche | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Geometric measure theory : a beginner's guide / Frank Morgan
| Geometric measure theory : a beginner's guide / Frank Morgan |
| Autore | Morgan, Frank |
| Pubbl/distr/stampa | Boston : Academic Press, 1988 |
| Descrizione fisica | viii, 145 p. ; 23 cm |
| Disciplina | 515.42 |
| Soggetto topico | Geometric measure theory |
| ISBN | 0125068557 |
| Classificazione |
AMS 28A
AMS 28A75 AMS 49F20 (1985) LC QA312.M67 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000940729707536 |
|
Morgan, Frank
|
||
| Boston : Academic Press, 1988 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Geometric measure theory and the calculus of variations / edited by William K. Allard, Frederick J. Almgren, Jr
| Geometric measure theory and the calculus of variations / edited by William K. Allard, Frederick J. Almgren, Jr |
| Autore | Summer Institute on Geometric measure theory and the calculus of variations <1984 ; Arcata> |
| Pubbl/distr/stampa | Providence, R.I. : American Mathematical Society, c1986 |
| Descrizione fisica | xiv, 464 p. : ill. ; 26 cm |
| Disciplina | 516.36 |
| Altri autori (Persone) |
Allard, William K.
Almgren, Frederick J. |
| Collana | Proceedings of symposia in pure mathematics, 0082-0717 ; 44 |
| Soggetto topico | Geometric measure theory |
| ISBN | 0821814702 (alk. paper) |
| Classificazione |
AMS 35J65
AMS 49F10 (1985) AMS 49F20 (1985) AMS 49F22 (1985) AMS 53A10 AMS 53C20 AMS 53C42 AMS 58-XX LC QA3112.G394 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000940599707536 |
|
Summer Institute on Geometric measure theory and the calculus of variations <1984 ; Arcata>
|
||
| Providence, R.I. : American Mathematical Society, c1986 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
The geometry of fractal sets / K. J. Falconer
| The geometry of fractal sets / K. J. Falconer |
| Autore | Falconer, Kenneth J. |
| Pubbl/distr/stampa | Cambridge ; New York : Cambridge University Press, 1985 |
| Descrizione fisica | xiv, 162 p. ; 24 cm. |
| Disciplina | 515.73 |
| Collana | Cambridge tracts in mathematics ; 85 |
| Soggetto topico |
Fractals
Geometric measure theory |
| ISBN | 0521256941 |
| Classificazione |
AMS 51-02
AMS 51-XX QA447 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000948589707536 |
|
Falconer, Kenneth J.
|
||
| Cambridge ; New York : Cambridge University Press, 1985 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Geometry of sets and measures in Euclidean spaces : fractals and rectifiability / Pertti Mattila
| Geometry of sets and measures in Euclidean spaces : fractals and rectifiability / Pertti Mattila |
| Autore | Mattila, Pertti |
| Pubbl/distr/stampa | Cambridge [England] : Cambridge University Press, 1995 |
| Descrizione fisica | xii, 343 p. ; 24 cm. |
| Disciplina | 515.42 |
| Collana | Cambridge studies in advanced mathematics ; 44 |
| Soggetto topico | Geometric measure theory |
| ISBN | 0521465761 |
| Classificazione |
AMS 28A78
AMS 28A80 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000949899707536 |
|
Mattila, Pertti
|
||
| Cambridge [England] : Cambridge University Press, 1995 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Lectures on geometric measure theory / Leon Simon
| Lectures on geometric measure theory / Leon Simon |
| Autore | Simon, Leon Melvyn |
| Pubbl/distr/stampa | [Canberra] : Centre for Mathematical Analysis, Australian National University, 1984 |
| Descrizione fisica | 266 p. ; 25 cm. |
| Disciplina | 515.42 |
| Collana | Proceedings of the Centre for Mathematical Analysis ; 3 |
| Soggetto topico |
Currents
Geometric measure theory Stratified sets |
| ISBN | 0867844299 |
| Classificazione |
AMS 28A75
AMS 32C30 AMS 49Q15 AMS 58A25 AMS 58A35 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | en |
| Record Nr. | UNISALENTO-991001065599707536 |
|
Simon, Leon Melvyn
|
||
| [Canberra] : Centre for Mathematical Analysis, Australian National University, 1984 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Lp-square function estimates on spaces of homogeneous type and on uniformly rectifiable sets / / Steve Hofmann [ad three others]
| Lp-square function estimates on spaces of homogeneous type and on uniformly rectifiable sets / / Steve Hofmann [ad three others] |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2017 |
| Descrizione fisica | 1 online resource (120 pages) : illustrations |
| Disciplina | 514.325 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Homogeneous spaces
Lie groups Function spaces Geometric measure theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-3607-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910480426303321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Lp-square function estimates on spaces of homogeneous type and on uniformly rectifiable sets / / Steve Hofmann [ad three others]
| Lp-square function estimates on spaces of homogeneous type and on uniformly rectifiable sets / / Steve Hofmann [ad three others] |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2017 |
| Descrizione fisica | 1 online resource (120 pages) : illustrations |
| Disciplina | 514.325 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Homogeneous spaces
Lie groups Function spaces Geometric measure theory |
| ISBN | 1-4704-3607-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Analysis and geometry on quasi-metric spaces -- T(1) and local T(b) theorems for square functions -- An inductive scheme for square function estimates -- Square function estimates on uniformly rectifiable sets -- Lp square function estimates. |
| Record Nr. | UNINA-9910794838003321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Lp-square function estimates on spaces of homogeneous type and on uniformly rectifiable sets / / Steve Hofmann [ad three others]
| Lp-square function estimates on spaces of homogeneous type and on uniformly rectifiable sets / / Steve Hofmann [ad three others] |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2017 |
| Descrizione fisica | 1 online resource (120 pages) : illustrations |
| Disciplina | 514.325 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Homogeneous spaces
Lie groups Function spaces Geometric measure theory |
| ISBN | 1-4704-3607-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Analysis and geometry on quasi-metric spaces -- T(1) and local T(b) theorems for square functions -- An inductive scheme for square function estimates -- Square function estimates on uniformly rectifiable sets -- Lp square function estimates. |
| Record Nr. | UNINA-9910814029003321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
