Classical Topics in Discrete Geometry [recurso electrónico] / by Károly Bezdek.
Tipo de material: TextoSeries CMS Books in Mathematics, Ouvrages de mathématiques de la SMCEditor: New York, NY : Springer New York, 2010Descripción: XIV, 166p. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9781441906007Tema(s): Mathematics | Geometry | Mathematics | GeometryFormatos físicos adicionales: Printed edition:: Sin títuloClasificación CDD: 516 Clasificación LoC:QA440-699Recursos en línea: Libro electrónicoTipo de ítem | Biblioteca actual | Colección | Signatura | Copia número | Estado | Fecha de vencimiento | Código de barras |
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Libro Electrónico | Biblioteca Electrónica | Colección de Libros Electrónicos | QA440 -699 (Browse shelf(Abre debajo)) | 1 | No para préstamo | 371145-2001 |
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QA440 -699 Modeling of Curves and Surfaces with MATLAB | QA440 -699 Arithmetic and Geometry Around Quantization | QA440 -699 Recent Developments in Fractals and Related Fields | QA440 -699 Classical Topics in Discrete Geometry | QA440 -699 Topology, Geometry and Gauge fields | QA440 -699 Minisum Hyperspheres | QA440 -699 Geometric Methods and Applications |
Classical Topics Revisited -- Sphere Packings -- Finite Packings by Translates of Convex Bodies -- Coverings by Homothetic Bodies - Illumination and Related Topics -- Coverings by Planks and Cylinders -- On the Volume of Finite Arrangements of Spheres -- Ball-Polyhedra as Intersections of Congruent Balls -- Selected Proofs -- Selected Proofs on Sphere Packings -- Selected Proofs on Finite Packings of Translates of Convex Bodies -- Selected Proofs on Illumination and Related Topics -- Selected Proofs on Coverings by Planks and Cylinders -- Selected Proofs on the Kneser–Poulsen Conjecture -- Selected Proofs on Ball-Polyhedra.
About the author: Karoly Bezdek received his Dr.rer.nat.(1980) and Habilitation (1997) degrees in mathematics from the Eötvös Loránd University, in Budapest and his Candidate of Mathematical Sciences (1985) and Doctor of Mathematical Sciences (1994) degrees from the Hungarian Academy of Sciences. He is the author of more than 100 research papers and currently he is professor and Canada Research Chair of mathematics at the University of Calgary. About the book: This multipurpose book can serve as a textbook for a semester long graduate level course giving a brief introduction to Discrete Geometry. It also can serve as a research monograph that leads the reader to the frontiers of the most recent research developments in the classical core part of discrete geometry. Finally, the forty-some selected research problems offer a great chance to use the book as a short problem book aimed at advanced undergraduate and graduate students as well as researchers. The text is centered around four major and by now classical problems in discrete geometry. The first is the problem of densest sphere packings, which has more than 100 years of mathematically rich history. The second major problem is typically quoted under the approximately 50 years old illumination conjecture of V. Boltyanski and H. Hadwiger. The third topic is on covering by planks and cylinders with emphases on the affine invariant version of Tarski's plank problem, which was raised by T. Bang more than 50 years ago. The fourth topic is centered around the Kneser-Poulsen Conjecture, which also is approximately 50 years old. All four topics witnessed very recent breakthrough results, explaining their major role in this book.
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