000			01859pam a22002534a 4500
001			13529113
005			20250611115038.0
008			040319s2005 enka b 001 0 eng
020			_a9780521136099
040			_aCSL _cCSL
041			_2eng _aeng
084			_aB316 : ( D65 ) P5 NBHM _qCSL
100	1		_aZomorodian, Afra J., _eauthor. _9812576
245	1	0	_aTopology for computing
260			_aCambridge ; _bCambridge University Press, _c2005.
300			_axiii, 243 p. : _bill. ; _c24 cm.
440		0	_aCambridge monographs on applied and computational mathematics ; _v16 _9812577
504			_aIncludes bibliographical references (p. 235-239) and index.
520			_aThe emerging field of computational topology utilizes theory from topology and the power of computing to solve problems in diverse fields. Recent applications include computer graphics, computer-aided design (CAD), and structural biology, all of which involve understanding the intrinsic shape of some real or abstract space. A primary goal of this book is to present basic concepts from topology and Morse theory to enable a non-specialist to grasp and participate in current research in computational topology. The author gives a self-contained presentation of the mathematical concepts from a computer scientist's point of view, combining point set topology, algebraic topology, group theory, differential manifolds, and Morse theory. He also presents some recent advances in the area, including topological persistence and hierarchical Morse complexes. Throughout, the focus is on computational challenges and on presenting algorithms and data structures when appropriate.
650		0	_aTopology _9447898
650		0	_aAlgorithms
650		0	_aGeometry and Topology _9812562
942			_2CC _n0 _cTEXL _hB316 : ( D65 ) P5 NBHM
999			_c1431601 _d1431601