000			03738nam a22004095i 4500
001			978-0-387-29929-7
003			DE-He213
005			20250710083945.0
007			cr nn 008mamaa
008			100301s2005 xxu| s |||| 0|eng d
020			_a9780387299297 _a99780387299297
024	7		_a10.1007/0-387-29929-7 _2doi
082	0	4	_a516.1 _223
100	1		_aBrass, Peter. _eauthor.
245	1	0	_aResearch Problems in Discrete Geometry _h[recurso electrónico] / _cby Peter Brass, William O. J. Moser, János Pach.
264		1	_aNew York, NY : _bSpringer New York, _c2005.
300			_aXII, 499p. 116 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aDefinitions and Notations -- Density Problems for Packings and Coverings -- Structural Packing and Covering Problems -- Packing and Covering with Homothetic Copies -- Tiling Problems -- Distance Problems -- Problems on Repeated Subconfigurations -- Incidence and Arrangement Problems -- Problems on Points in General Position -- Graph Drawings and Geometric Graphs -- Lattice Point Problems -- Geometric Inequalities.
520			_aAlthough discrete geometry has a rich history extending more than 150 years, it abounds in open problems that even a high-school student can understand and appreciate. Some of these problems are notoriously difficult and are intimately related to deep questions in other fields of mathematics. But many problems, even old ones, can be solved by a clever undergraduate or a high-school student equipped with an ingenious idea and the kinds of skills used in a mathematical olympiad. Research Problems in Discrete Geometry is the result of a 25-year-old project initiated by the late Leo Moser. It is a collection of more than 500 attractive open problems in the field. The largely self-contained chapters provide a broad overview of discrete geometry, along with historical details and the most important partial results related to these problems. This book is intended as a source book for both professional mathematicians and graduate students who love beautiful mathematical questions, are willing to spend sleepless nights thinking about them, and who would like to get involved in mathematical research. Important features include: * More than 500 open problems, some old, others new and never before published; * Each chapter divided into self-contained sections, each section ending with an extensive bibliography; * A great selection of research problems for graduate students looking for a dissertation topic; * A comprehensive survey of discrete geometry, highlighting the frontiers and future of research; * More than 120 figures; * A preface to an earlier version written by the late Paul Erdos. Peter Brass is Associate Professor of Computer Science at the City College of New York. William O. J. Moser is Professor Emeritus at McGill University. Janos Pach is Distinguished Professor at The City College of New York, Research Professor at the Courant Institute, NYU, and Senior Research Fellow at the Rényi Institute, Budapest.
650		0	_aMATHEMATICS.
650		0	_aDISCRETE GROUPS.
650	1	4	_aMATHEMATICS.
650	2	4	_aCONVEX AND DISCRETE GEOMETRY.
700	1		_aMoser, William O. J. _eauthor.
700	1		_aPach, János. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387238159
856	4	0	_uhttp://dx.doi.org/10.1007/0-387-29929-7 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c57002 _d57002