Triangulations Structures for Algorithms and Applications /

Triangulations 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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Loera, Jesús A. De (Συγγραφέας), Rambau, Jörg (Συγγραφέας), Santos, Francisco (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
Σειρά:Algorithms and Computation in Mathematics, 25
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
LEADER 03348nam a22005895i 4500
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100 1 |a Loera, Jesús A. De.  |e author. 
245 1 0 |a Triangulations  |h [electronic resource] :  |b Structures for Algorithms and Applications /  |c by Jesús A. De Loera, Jörg Rambau, Francisco Santos. 
264 1 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg,  |c 2010. 
300 |a X, 539 p. 496 illus., 281 illus. in color.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
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490 1 |a Algorithms and Computation in Mathematics,  |x 1431-1550 ;  |v 25 
505 0 |a Triangulations 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 |a Triangulations 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 |a Mathematics. 
650 0 |a Computers. 
650 0 |a Computer science  |x Mathematics. 
650 0 |a Algebraic geometry. 
650 0 |a Computer mathematics. 
650 0 |a Convex geometry. 
650 0 |a Discrete geometry. 
650 0 |a Discrete mathematics. 
650 1 4 |a Mathematics. 
650 2 4 |a Algebraic Geometry. 
650 2 4 |a Discrete Mathematics. 
650 2 4 |a Theory of Computation. 
650 2 4 |a Convex and Discrete Geometry. 
650 2 4 |a Mathematics of Computing. 
650 2 4 |a Computational Mathematics and Numerical Analysis. 
700 1 |a Rambau, Jörg.  |e author. 
700 1 |a Santos, Francisco.  |e author. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783642129704 
830 0 |a Algorithms and Computation in Mathematics,  |x 1431-1550 ;  |v 25 
856 4 0 |u http://dx.doi.org/10.1007/978-3-642-12971-1  |z Full Text via HEAL-Link 
912 |a ZDB-2-SMA 
950 |a Mathematics and Statistics (Springer-11649)