2 búsqueda de la palabra clave 'Polytopes'

Lectures on Sphere Arrangements – the Discrete Geometric Side / Károly Bezdek (2013)  

Público ISBD Título : Lectures on Sphere Arrangements – the Discrete Geometric Side Tipo de documento: documento electrónico Autores: Károly Bezdek ; SpringerLink (Online service) Editorial: New York, NY : Springer New York Fecha de publicación: 2013 Otro editor: Imprint: Springer Colección: Fields Institute Monographs, ISSN 1069-5273 num. 32 Número de páginas: XII, 175 p Il.: online resource ISBN/ISSN/DL: 978-1-4614-8118-8 Idioma : Inglés (eng) Palabras clave: Mathematics  Convex  geometry  Discrete  Polytopes  and  Geometry Clasificación: 51 Matemáticas Resumen: This monograph gives a short introduction to parts of modern discrete geometry, in addition to leading the reader to the frontiers of geometric research on sphere arrangements. The readership is aimed at advanced undergraduate and early graduate students, as well as interested researchers.  It contains 30 open research problems ideal for graduate students and researchers in mathematics and computer science. Additionally, this book may be considered ideal for a one-semester advanced undergraduate or graduate level course.   The core of this book is based on three lectures given by the author at the Fields Institute during the thematic program on Discrete Geometry and Applications and contains four basic topics. The first two deal with active areas that have been outstanding from the birth of discrete geometry, namely dense sphere packings and tilings. Sphere packings and tilings have a very strong connection to number theory, coding, groups, and mathematical programming. Extending the tradition of studying packings of spheres is the investigation of the monotonicity of volume under contractions of arbitrary arrangements of spheres. The third major topic can be found under the sections on ball-polyhedra that study the possibility of extending the theory of convex polytopes to the family of intersections of congruent balls. This section of the text is connected in many ways to the above-mentioned major topics as well as to some other important research areas such as that on coverings by planks (with close ties to geometric analysis). The fourth basic topic is discussed under covering balls by cylinders.   Nota de contenido: 1. Unit Sphere Packings -- 2. Proofs on Unit Sphere Packings -- 3. Contractions of Sphere Arrangements -- 4. Proofs on Contractions of Sphere Arrangements -- 5. Ball-Polyhedra and Spindle Convex Bodies -- 6. Proofs on Ball-Polyhedra and Spindle Convex Bodies -- 7. Coverings by Cylinders -- 8. Proofs on Coverings by Cylinders -- 9. Research Problems - an Overview -- Glossary -- References En línea: http://dx.doi.org/10.1007/978-1-4614-8118-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32378 Lectures on Sphere Arrangements – the Discrete Geometric Side [documento electrónico] / Károly Bezdek ; SpringerLink (Online service) . - New York, NY : Springer New York : Imprint: Springer, 2013 . - XII, 175 p : online resource. - (Fields Institute Monographs, ISSN 1069-5273; 32) . ISBN : 978-1-4614-8118-8 Idioma : Inglés (eng) Palabras clave: Mathematics  Convex  geometry  Discrete  Polytopes  and  Geometry Clasificación: 51 Matemáticas Resumen: This monograph gives a short introduction to parts of modern discrete geometry, in addition to leading the reader to the frontiers of geometric research on sphere arrangements. The readership is aimed at advanced undergraduate and early graduate students, as well as interested researchers.  It contains 30 open research problems ideal for graduate students and researchers in mathematics and computer science. Additionally, this book may be considered ideal for a one-semester advanced undergraduate or graduate level course.   The core of this book is based on three lectures given by the author at the Fields Institute during the thematic program on Discrete Geometry and Applications and contains four basic topics. The first two deal with active areas that have been outstanding from the birth of discrete geometry, namely dense sphere packings and tilings. Sphere packings and tilings have a very strong connection to number theory, coding, groups, and mathematical programming. Extending the tradition of studying packings of spheres is the investigation of the monotonicity of volume under contractions of arbitrary arrangements of spheres. The third major topic can be found under the sections on ball-polyhedra that study the possibility of extending the theory of convex polytopes to the family of intersections of congruent balls. This section of the text is connected in many ways to the above-mentioned major topics as well as to some other important research areas such as that on coverings by planks (with close ties to geometric analysis). The fourth basic topic is discussed under covering balls by cylinders.   Nota de contenido: 1. Unit Sphere Packings -- 2. Proofs on Unit Sphere Packings -- 3. Contractions of Sphere Arrangements -- 4. Proofs on Contractions of Sphere Arrangements -- 5. Ball-Polyhedra and Spindle Convex Bodies -- 6. Proofs on Ball-Polyhedra and Spindle Convex Bodies -- 7. Coverings by Cylinders -- 8. Proofs on Coverings by Cylinders -- 9. Research Problems - an Overview -- Glossary -- References En línea: http://dx.doi.org/10.1007/978-1-4614-8118-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32378

Ejemplares

Signatura	Medio	Ubicación	Sub-localización	Sección	Estado
ningún ejemplar

Geometry — Intuitive, Discrete, and Convex / SpringerLink (Online service) ; Imre Bárány ; Károly J. Böröczky ; Gábor Fejes Tóth ; János Pach (2013)  

Público ISBD Título : Geometry — Intuitive, Discrete, and Convex : A Tribute to László Fejes Tóth Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Imre Bárány ; Károly J. Böröczky ; Gábor Fejes Tóth ; János Pach Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2013 Otro editor: Imprint: Springer Colección: Bolyai Society Mathematical Studies, ISSN 1217-4696 num. 24 Número de páginas: 390 p Il.: online resource ISBN/ISSN/DL: 978-3-642-41498-5 Idioma : Inglés (eng) Palabras clave: Mathematics  Convex  geometry  Discrete  Polytopes  Topology  Combinatorics  and  Geometry Clasificación: 51 Matemáticas Resumen: The present volume is a collection of a dozen survey articles, dedicated to the memory of the famous Hungarian geometer, László Fejes Tóth, on the 99th anniversary of his birth. Each article reviews recent progress in an important field in intuitive, discrete, and convex geometry. The mathematical work and perspectives of all editors and most contributors of this volume were deeply influenced by László Fejes Tóth Nota de contenido: Contents -- Preface -- Akiyama, J., Kobayashi, M., Nakagawa, H., Nakamura, G. and Sato, I.: Atoms for Parallelohedra -- Bezdek, K.: Tarski's Plank Problem Revisited -- Bezdek, A. and Kupperbeck, W.: Dense Packing of Space with Various Convex Solids -- Brass, P.: Geometric Problems on Coverage in Sensor Networks -- Gruber, P.M.: Applications of an Idea of Voronoi, a Report -- Grünbaum, B.: Uniform Polyhedrals -- Holmsen, A.F.: Geometric Transversal Theory: T-(3)-families in the Plane -- Montejano, L.: Transversals, Topology and Colorful Geometric Results -- Pach, J. Pálvölgyi, D. and Tóth, G.: Survey on Decomposition of Multiple Coverings -- Schaefer, M.: Hanani-Tutte and Related Results -- Schneider, R.: Extremal Properties of Random Mosaics -- Smorodinsky, S.: Conflict-Free Coloring and its Applications En línea: http://dx.doi.org/10.1007/978-3-642-41498-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32607 Geometry — Intuitive, Discrete, and Convex : A Tribute to László Fejes Tóth [documento electrónico] / SpringerLink (Online service) ; Imre Bárány ; Károly J. Böröczky ; Gábor Fejes Tóth ; János Pach . - Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013 . - 390 p : online resource. - (Bolyai Society Mathematical Studies, ISSN 1217-4696; 24) . ISBN : 978-3-642-41498-5 Idioma : Inglés (eng) Palabras clave: Mathematics  Convex  geometry  Discrete  Polytopes  Topology  Combinatorics  and  Geometry Clasificación: 51 Matemáticas Resumen: The present volume is a collection of a dozen survey articles, dedicated to the memory of the famous Hungarian geometer, László Fejes Tóth, on the 99th anniversary of his birth. Each article reviews recent progress in an important field in intuitive, discrete, and convex geometry. The mathematical work and perspectives of all editors and most contributors of this volume were deeply influenced by László Fejes Tóth Nota de contenido: Contents -- Preface -- Akiyama, J., Kobayashi, M., Nakagawa, H., Nakamura, G. and Sato, I.: Atoms for Parallelohedra -- Bezdek, K.: Tarski's Plank Problem Revisited -- Bezdek, A. and Kupperbeck, W.: Dense Packing of Space with Various Convex Solids -- Brass, P.: Geometric Problems on Coverage in Sensor Networks -- Gruber, P.M.: Applications of an Idea of Voronoi, a Report -- Grünbaum, B.: Uniform Polyhedrals -- Holmsen, A.F.: Geometric Transversal Theory: T-(3)-families in the Plane -- Montejano, L.: Transversals, Topology and Colorful Geometric Results -- Pach, J. Pálvölgyi, D. and Tóth, G.: Survey on Decomposition of Multiple Coverings -- Schaefer, M.: Hanani-Tutte and Related Results -- Schneider, R.: Extremal Properties of Random Mosaics -- Smorodinsky, S.: Conflict-Free Coloring and its Applications En línea: http://dx.doi.org/10.1007/978-3-642-41498-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32607

Ejemplares

Signatura	Medio	Ubicación	Sub-localización	Sección	Estado
ningún ejemplar