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Mathematics - Algebra | Triangulations - Structures for Algorithms and Applications (Reviews)


Structures for Algorithms and Applications

De Loera, Jesus, Rambau, Joerg, Santos, Francisco

2010, X, 539p. 496 illus., 281 illus. in color.

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From the reviews:

“Focusing on the structure of the set of all possible triangulations … the current study sits at the threshold of geometry and combinatorics … . offering terra firma to students still struggling with abstraction, the central theorem … only dates to 1989, so the present elaboration carries readers to the frontiers of research. … It is unusual to find such a leisurely, generous exposition of a new subject, as replete with illustrations as contemporary calculus textbooks. … Summing Up: Recommended. Upper-division undergraduates through professionals.” (D. V. Feldman, Choice, Vol. 49 (1), September, 2011)

“This book masterfully presents the theory of triangulations of (the convex hull of) a point set alongside many appealing applications in algebra, computer science, combinatorics, and optimization. … The writing is thorough and engaging, assisted by clear (and numerous) illustrations, and many exercises for the reader. Graduate students and researchers in any area in which triangulations of points set configurations play a role will find this book a comprehensive and most useful reference.” (Matthias Beck, Zentralblatt MATH, Vol. 1207, 2011)



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