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Convex bodies : the Brunn-Minkowski theory / / Rolf Schneider, Albert-Ludwigs-Universitat Freiburg, Germany [[electronic resource]]
| Convex bodies : the Brunn-Minkowski theory / / Rolf Schneider, Albert-Ludwigs-Universitat Freiburg, Germany [[electronic resource]] |
| Autore | Schneider Rolf <1940-> |
| Edizione | [Second edition.] |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2014 |
| Descrizione fisica | 1 online resource (xxii, 736 pages) : digital, PDF file(s) |
| Disciplina | 516.3/74 |
| Collana | Encyclopedia of mathematics and its applications |
| Soggetto topico | Convex bodies |
| ISBN |
1-107-45500-6
1-107-46205-3 1-107-45983-4 1-107-46906-6 1-107-46552-4 1-107-47267-9 1-139-00385-2 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Basic convexity -- Boundary structure -- Minkowski addition -- Support measures and intrinsic volumes -- Mixed volumes and related concepts -- Valuations on convex bodies -- Inequalities for mixed volumes -- Determination by area measures and curvatures -- Extensions and analogues of the Brunn--Minkowski theory -- Affine constructions and inequalities. |
| Record Nr. | UNINA-9910463974603321 |
Schneider Rolf <1940->
|
||
| Cambridge : , : Cambridge University Press, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Convex bodies : the Brunn-Minkowski theory / / Rolf Schneider, Albert-Ludwigs-Universitat Freiburg, Germany [[electronic resource]]
| Convex bodies : the Brunn-Minkowski theory / / Rolf Schneider, Albert-Ludwigs-Universitat Freiburg, Germany [[electronic resource]] |
| Autore | Schneider Rolf <1940-> |
| Edizione | [Second edition.] |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2014 |
| Descrizione fisica | 1 online resource (xxii, 736 pages) : digital, PDF file(s) |
| Disciplina | 516.3/74 |
| Collana | Encyclopedia of mathematics and its applications |
| Soggetto topico | Convex bodies |
| ISBN |
1-107-45500-6
1-107-46205-3 1-107-45983-4 1-107-46906-6 1-107-46552-4 1-107-47267-9 1-139-00385-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Basic convexity -- Boundary structure -- Minkowski addition -- Support measures and intrinsic volumes -- Mixed volumes and related concepts -- Valuations on convex bodies -- Inequalities for mixed volumes -- Determination by area measures and curvatures -- Extensions and analogues of the Brunn--Minkowski theory -- Affine constructions and inequalities. |
| Record Nr. | UNINA-9910787619903321 |
|
Schneider Rolf <1940->
|
||
| Cambridge : , : Cambridge University Press, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Convex bodies : the Brunn-Minkowski theory / / Rolf Schneider, Albert-Ludwigs-Universitat Freiburg, Germany [[electronic resource]]
| Convex bodies : the Brunn-Minkowski theory / / Rolf Schneider, Albert-Ludwigs-Universitat Freiburg, Germany [[electronic resource]] |
| Autore | Schneider Rolf <1940-> |
| Edizione | [Second edition.] |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2014 |
| Descrizione fisica | 1 online resource (xxii, 736 pages) : digital, PDF file(s) |
| Disciplina | 516.3/74 |
| Collana | Encyclopedia of mathematics and its applications |
| Soggetto topico | Convex bodies |
| ISBN |
1-107-45500-6
1-107-46205-3 1-107-45983-4 1-107-46906-6 1-107-46552-4 1-107-47267-9 1-139-00385-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Basic convexity -- Boundary structure -- Minkowski addition -- Support measures and intrinsic volumes -- Mixed volumes and related concepts -- Valuations on convex bodies -- Inequalities for mixed volumes -- Determination by area measures and curvatures -- Extensions and analogues of the Brunn--Minkowski theory -- Affine constructions and inequalities. |
| Record Nr. | UNINA-9910825016003321 |
|
Schneider Rolf <1940->
|
||
| Cambridge : , : Cambridge University Press, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Convex cones : geometry and probability / / Rolf Schneider
| Convex cones : geometry and probability / / Rolf Schneider |
| Autore | Schneider Rolf <1940-> |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (352 pages) |
| Disciplina | 929.605 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Convex bodies
Cossos convexos |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-15127-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- 1 Basic notions and facts -- 1.1 Notation and prerequisites -- 1.2 Incidence algebras -- 1.3 Convex cones -- 1.4 Polyhedra -- 1.5 Recession cones -- 1.6 Valuations -- 1.7 Identities for characteristic functions -- 1.8 Polarity as a valuation -- 1.9 A characterization of polarity -- 2 Angle functions -- 2.1 Invariant measures -- 2.2 Angles -- 2.3 Conic intrinsic volumes and Grassmann angles -- 2.4 Polyhedral Gauss-Bonnet theorems -- 2.5 A tube formula for compact general polyhedra -- 3 Relations to spherical geometry -- 3.1 Basic facts -- 3.2 The gnomonic map -- 3.3 Spherical and conic valuations -- 3.4 Inequalities in spherical space -- 4 Steiner and kinematic formulas -- 4.1 A general Steiner formula for polyhedral cones -- 4.1.1 The local Gaussian Steiner formula -- 4.1.2 The local spherical Steiner formula -- 4.2 Support measures of general convex cones -- 4.3 Kinematic formulas -- 4.4 Concentration of the conic intrinsic volumes -- 4.5 Inequalities and monotonicity properties -- 4.6 Observations about the conic support measures -- 5 Central hyperplane arrangements and induced cones -- 5.1 The Klivans-Swartz formula -- 5.2 Absorption probabilities via central arrangements -- 5.3 Random cones generated by central arrangements -- 5.4 Volume weighted Schl¨afli cones -- 5.5 Typical faces -- 5.6 Intersections of random cones -- 6 Miscellanea on random cones -- 6.1 Random projections -- 6.2 Gaussian images of cones -- 6.3 Wendel probabilities in high dimensions -- 6.4 Donoho-Tanner cones in high dimensions -- 6.5 Cover-Efron cones in high dimensions -- 6.6 Random cones in halfspaces -- 7 Convex hypersurfaces adapted to cones -- 7.1 Coconvex sets -- 7.2 Mixed volumes involving bounded coconvex sets -- 7.3 Wulff shapes in cones -- 7.4 A Minkowski-type existence theorem -- 7.5 A Brunn-Minkowski theorem for coconvex sets.
7.6 Mixed volumes of general coconvex sets -- 7.7 Minkowski's theorem for general coconvex sets -- 7.8 The cone-volume measure -- 8 Appendix: Open questions -- References -- Notation Index -- Author Index -- Subject Index. |
| Record Nr. | UNINA-9910595034003321 |
|
Schneider Rolf <1940->
|
||
| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Convex cones : geometry and probability / / Rolf Schneider
| Convex cones : geometry and probability / / Rolf Schneider |
| Autore | Schneider Rolf <1940-> |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (352 pages) |
| Disciplina | 929.605 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Convex bodies
Cossos convexos |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-15127-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- 1 Basic notions and facts -- 1.1 Notation and prerequisites -- 1.2 Incidence algebras -- 1.3 Convex cones -- 1.4 Polyhedra -- 1.5 Recession cones -- 1.6 Valuations -- 1.7 Identities for characteristic functions -- 1.8 Polarity as a valuation -- 1.9 A characterization of polarity -- 2 Angle functions -- 2.1 Invariant measures -- 2.2 Angles -- 2.3 Conic intrinsic volumes and Grassmann angles -- 2.4 Polyhedral Gauss-Bonnet theorems -- 2.5 A tube formula for compact general polyhedra -- 3 Relations to spherical geometry -- 3.1 Basic facts -- 3.2 The gnomonic map -- 3.3 Spherical and conic valuations -- 3.4 Inequalities in spherical space -- 4 Steiner and kinematic formulas -- 4.1 A general Steiner formula for polyhedral cones -- 4.1.1 The local Gaussian Steiner formula -- 4.1.2 The local spherical Steiner formula -- 4.2 Support measures of general convex cones -- 4.3 Kinematic formulas -- 4.4 Concentration of the conic intrinsic volumes -- 4.5 Inequalities and monotonicity properties -- 4.6 Observations about the conic support measures -- 5 Central hyperplane arrangements and induced cones -- 5.1 The Klivans-Swartz formula -- 5.2 Absorption probabilities via central arrangements -- 5.3 Random cones generated by central arrangements -- 5.4 Volume weighted Schl¨afli cones -- 5.5 Typical faces -- 5.6 Intersections of random cones -- 6 Miscellanea on random cones -- 6.1 Random projections -- 6.2 Gaussian images of cones -- 6.3 Wendel probabilities in high dimensions -- 6.4 Donoho-Tanner cones in high dimensions -- 6.5 Cover-Efron cones in high dimensions -- 6.6 Random cones in halfspaces -- 7 Convex hypersurfaces adapted to cones -- 7.1 Coconvex sets -- 7.2 Mixed volumes involving bounded coconvex sets -- 7.3 Wulff shapes in cones -- 7.4 A Minkowski-type existence theorem -- 7.5 A Brunn-Minkowski theorem for coconvex sets.
7.6 Mixed volumes of general coconvex sets -- 7.7 Minkowski's theorem for general coconvex sets -- 7.8 The cone-volume measure -- 8 Appendix: Open questions -- References -- Notation Index -- Author Index -- Subject Index. |
| Record Nr. | UNISA-996490271403316 |
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Schneider Rolf <1940->
|
||
| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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