000 | 03285nam a22005895i 4500 | ||
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001 | 978-3-642-12971-1 | ||
003 | DE-He213 | ||
005 | 20140220084536.0 | ||
007 | cr nn 008mamaa | ||
008 | 100814s2010 gw | s |||| 0|eng d | ||
020 |
_a9783642129711 _9978-3-642-12971-1 |
||
024 | 7 |
_a10.1007/978-3-642-12971-1 _2doi |
|
050 | 4 | _aQA639.5-640.7 | |
050 | 4 | _aQA640.7-640.77 | |
072 | 7 |
_aPBMW _2bicssc |
|
072 | 7 |
_aPBD _2bicssc |
|
072 | 7 |
_aMAT012020 _2bisacsh |
|
072 | 7 |
_aMAT008000 _2bisacsh |
|
082 | 0 | 4 |
_a516.1 _223 |
100 | 1 |
_aLoera, Jesús A. _eauthor. |
|
245 | 1 | 0 |
_aTriangulations _h[electronic resource] : _bStructures for Algorithms and Applications / _cby Jesús A. Loera, Jörg Rambau, Francisco Santos. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2010. |
|
300 |
_aX, 539p. 496 illus., 281 illus. in color. _bonline resource. |
||
336 |
_atext _btxt _2rdacontent |
||
337 |
_acomputer _bc _2rdamedia |
||
338 |
_aonline resource _bcr _2rdacarrier |
||
347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aAlgorithms and Computation in Mathematics, _x1431-1550 ; _v25 |
|
505 | 0 | _aTriangulations in Mathematics -- Configurations, Triangulations, Subdivisions, and Flips -- Life in Two Dimensions -- A Tool Box -- Regular Triangulations and Secondary Polytopes -- Some Interesting Configurations -- Some Interesting Triangulations -- Algorithmic Issues -- Further Topics. | |
520 | _aTriangulations appear everywhere, from volume computations and meshing to algebra and topology. This book studies the subdivisions and triangulations of polyhedral regions and point sets and presents the first comprehensive treatment of the theory of secondary polytopes and related topics. A central theme of the book is the use of the rich structure of the space of triangulations to solve computational problems (e.g., counting the number of triangulations or finding optimal triangulations with respect to various criteria), and to establish connections to applications in algebra, computer science, combinatorics, and optimization. With many examples and exercises, and with nearly five hundred illustrations, the book gently guides readers through the properties of the spaces of triangulations of "structured" (e.g., cubes, cyclic polytopes, lattice polytopes) and "pathological" (e.g., disconnected spaces of triangulations) situations using only elementary principles. | ||
650 | 0 | _aMathematics. | |
650 | 0 | _aComputer science. | |
650 | 0 |
_aComputer science _xMathematics. |
|
650 | 0 | _aAlgorithms. | |
650 | 0 | _aCombinatorics. | |
650 | 0 | _aDiscrete groups. | |
650 | 1 | 4 | _aMathematics. |
650 | 2 | 4 | _aConvex and Discrete Geometry. |
650 | 2 | 4 | _aMathematics of Computing. |
650 | 2 | 4 | _aComputational Mathematics and Numerical Analysis. |
650 | 2 | 4 | _aCombinatorics. |
650 | 2 | 4 | _aAlgorithms. |
700 | 1 |
_aRambau, Jörg. _eauthor. |
|
700 | 1 |
_aSantos, Francisco. _eauthor. |
|
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783642129704 |
830 | 0 |
_aAlgorithms and Computation in Mathematics, _x1431-1550 ; _v25 |
|
856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-3-642-12971-1 |
912 | _aZDB-2-SMA | ||
999 |
_c112168 _d112168 |