Download e-book for kindle: Topology for Computing (Cambridge Monographs on Applied and by Afra J. Zomorodian

By Afra J. Zomorodian

The rising box of computational topology makes use of thought from topology and the facility of computing to unravel difficulties in different fields. contemporary purposes comprise special effects, computer-aided layout (CAD), and structural biology, all of which contain figuring out the intrinsic form of a few actual or summary house. a first-rate objective of this publication is to give easy techniques from topology and Morse thought to allow a non-specialist to understand and perform present examine in computational topology. the writer supplies a self-contained presentation of the mathematical strategies from a working laptop or computer scientist's viewpoint, combining aspect set topology, algebraic topology, crew conception, differential manifolds, and Morse conception. He additionally provides a few contemporary advances within the zone, together with topological patience and hierarchical Morse complexes. all through, the focal point is on computational demanding situations and on offering algorithms and knowledge constructions while appropriate.

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Topology for Computing (Cambridge Monographs on Applied and Computational Mathematics) by Afra J. Zomorodian

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