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Intuitive Combinatorial Topology

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Release : 2013-03-09
Genre : Mathematics
Kind : eBook
Book Rating : 046/5 ( reviews)

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Book Synopsis Intuitive Combinatorial Topology by : V.G. Boltyanskii

Download or read book Intuitive Combinatorial Topology written by V.G. Boltyanskii. This book was released on 2013-03-09. Available in PDF, EPUB and Kindle. Book excerpt: Topology is a relatively young and very important branch of mathematics, which studies the properties of objects that are preserved through deformations, twistings, and stretchings. This book deals with the topology of curves and surfaces as well as with the fundamental concepts of homotopy and homology, and does this in a lively and well-motivated way. This book is well suited for readers who are interested in finding out what topology is all about.

Intuitive Combinatorial Topology

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Release : 2014-01-15
Genre :
Kind : eBook
Book Rating : 050/5 ( reviews)

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Book Synopsis Intuitive Combinatorial Topology by : V. G. Boltyanskii

Download or read book Intuitive Combinatorial Topology written by V. G. Boltyanskii. This book was released on 2014-01-15. Available in PDF, EPUB and Kindle. Book excerpt:

Invitation to Combinatorial Topology

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Release : 2012-08-13
Genre : Mathematics
Kind : eBook
Book Rating : 886/5 ( reviews)

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Book Synopsis Invitation to Combinatorial Topology by : Maurice Fréchet

Download or read book Invitation to Combinatorial Topology written by Maurice Fréchet. This book was released on 2012-08-13. Available in PDF, EPUB and Kindle. Book excerpt: An elementary text that can be understood by anyone with a background in high school geometry, Invitation to Combinatorial Topology offers a stimulating initiation to important topological ideas. This translation from the original French does full justice to the text's coherent presentation as well as to its rich historical content. Subjects include the problems inherent to coloring maps, homeomorphism, applications of Descartes' theorem, and topological polygons. Considerations of the topological classification of closed surfaces cover elementary operations, use of normal forms of polyhedra, reduction to normal form, and application to the geometric theory of functions. 1967 edition. 108 figures. Bibliography. Index.

A Combinatorial Introduction to Topology

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Release : 1994-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 662/5 ( reviews)

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Book Synopsis A Combinatorial Introduction to Topology by : Michael Henle

Download or read book A Combinatorial Introduction to Topology written by Michael Henle. This book was released on 1994-01-01. Available in PDF, EPUB and Kindle. Book excerpt: Excellent text covers vector fields, plane homology and the Jordan Curve Theorem, surfaces, homology of complexes, more. Problems and exercises. Some knowledge of differential equations and multivariate calculus required.Bibliography. 1979 edition.

Distributed Computing Through Combinatorial Topology

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Release : 2013-11-30
Genre : Computers
Kind : eBook
Book Rating : 289/5 ( reviews)

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Book Synopsis Distributed Computing Through Combinatorial Topology by : Maurice Herlihy

Download or read book Distributed Computing Through Combinatorial Topology written by Maurice Herlihy. This book was released on 2013-11-30. Available in PDF, EPUB and Kindle. Book excerpt: Distributed Computing Through Combinatorial Topology describes techniques for analyzing distributed algorithms based on award winning combinatorial topology research. The authors present a solid theoretical foundation relevant to many real systems reliant on parallelism with unpredictable delays, such as multicore microprocessors, wireless networks, distributed systems, and Internet protocols. Today, a new student or researcher must assemble a collection of scattered conference publications, which are typically terse and commonly use different notations and terminologies. This book provides a self-contained explanation of the mathematics to readers with computer science backgrounds, as well as explaining computer science concepts to readers with backgrounds in applied mathematics. The first section presents mathematical notions and models, including message passing and shared-memory systems, failures, and timing models. The next section presents core concepts in two chapters each: first, proving a simple result that lends itself to examples and pictures that will build up readers' intuition; then generalizing the concept to prove a more sophisticated result. The overall result weaves together and develops the basic concepts of the field, presenting them in a gradual and intuitively appealing way. The book's final section discusses advanced topics typically found in a graduate-level course for those who wish to explore further. Named a 2013 Notable Computer Book for Computing Methodologies by Computing Reviews Gathers knowledge otherwise spread across research and conference papers using consistent notations and a standard approach to facilitate understanding Presents unique insights applicable to multiple computing fields, including multicore microprocessors, wireless networks, distributed systems, and Internet protocols Synthesizes and distills material into a simple, unified presentation with examples, illustrations, and exercises

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