Topology for Computing (Cambridge Monographs on Applied and Computational Mathematics)

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

Review
"In my knowledge, it is the first book covering these topics."
Numerical Algorithms


Product Description
Written by a computer scientist for computer scientists, this book teaches topology from a computational point of view, and shows how to solve real problems that have topological aspects involving computers. Such problems arise in many areas, such as computer graphics, robotics, structural biology, and chemistry. The author starts from the basics of topology, assuming no prior exposure to the subject, and moves rapidly up to recent advances in the area, including topological persistence and hierarchical Morse complexes. Algorithms and data structures are presented when appropriate.
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Product Details

* Paperback: 258 pages
* Publisher: Cambridge University Press (September 28, 2009)
* Language: English
* ISBN-10: 0521136091
* ISBN-13: 978-0521136099

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Arrangements of curves in the plane- topology, combinatorics, and algorithms (1988)

Arrangements of curves in the plane- topology, combinatorics, and algorithms (1988)
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Edelsbrunner, Herbert; Pach, Janos; Pollack, Richard; Sharir, Micha

Publisher: New York: Courant Institute of Mathematical Sciences, New York University
Possible copyright status: NOT_IN_COPYRIGHT
Language: English
Call number: 13602251
Digitizing sponsor: Sloan Foundation
Book contributor: New York University, Institute of Fine Arts Library

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Handbook of Set-Theoretic Topology

Handbook of Set-Theoretic Topology
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Kenneth Kunen (Author), Jerry E. Vaughan (Editor)

Review
...an indispensable reference for many years to come ...a massive undertaking... I would recommend that anyone interested in general topology take a look at this book ...many set-theorists are going to want a copy of their own. -- Stewart Baldwin The Journal of Symbolic Logic --This text refers to the Hardcover edition.


Product Description
Hardbound. This Handbook is an introduction to set-theoretic topology for students in the field and for researchers in other areas for whom results in set-theoretic topology may be relevant. The aim of the editors has been to make it as self-contained as possible without repeating material which can easily be found in standard texts. The Handbook contains detailed proofs of core results, and references to the literature for peripheral results where space was insufficient. Included are many open problems of current interest.

In general, the articles may be read in any order. In a few cases they occur in pairs, with the first one giving an elementary treatment of a subject and the second one more advanced results. These pairs are: Hodel and Juhász on cardinal functions; Roitman and Abraham-Todorčević on S- and L-spaces; Weiss and Baumgartner on versions of Martin's axiom; and Vaughan and Stephenson on compactness properties. --This text refers to the Hardcover edition.
Product Details

* Paperback: 1274 pages
* Publisher: Elsevier Science Publishing Company (March 1988)
* Language: English
* ISBN-10: 0444704310
* ISBN-13: 978-0444704313

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Dimension theory

Dimension theory
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Hurewicz W., Wallman H.

..

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Encyclopedia of General Topology

Encyclopedia of General Topology
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K.P. Hart (Author), Jun-iti Nagata (Author), J.E. Vaughan (Author)

Review
The book will be very useful for the mathematical community.

Ljubisa Kocinac (Aleksandrovac). Mathematical Reviews, 2005


Product Description
This book is designed for the reader who wants to get a general view of the terminology of General Topology with minimal time and effort. The reader, whom we assume to have only a rudimentary knowledge of set theory, algebra and analysis, will be able to find what they want if they will properly use the index. However, this book contains very few proofs and the reader who wants to study more systematically will find sufficiently many references in the book.



Key features:



• More terms from General Topology than any other book ever published

• Short and informative articles

• Authors include the majority of top researchers in the field

• Extensive indexing of terms
Product Details

* Hardcover: 536 pages
* Publisher: Elsevier Science (August 16, 2004)
* Language: English
* ISBN-10: 0444503552
* ISBN-13: 978-0444503558

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Handbook of Geometric Topology

Handbook of Geometric Topology
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R.B. Sher (Author), R.J. Daverman (Author)

Product Description
Geometric Topology is a foundational component of modern mathematics, involving the study of spacial properties and invariants of familiar objects such as manifolds and complexes. This volume, which is intended both as an introduction to the subject and as a wide ranging resouce for those already grounded in it, consists of 21 expository surveys written by leading experts and covering active areas of current research. They provide the reader with an up-to-date overview of this flourishing branch of mathematics.
Product Details

* Hardcover: 1144 pages
* Publisher: North Holland; 1 edition (January 3, 2002)
* Language: English
* ISBN-10: 0444824324
* ISBN-13: 978-0444824325

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Classical Topology and Combinatorial Group Theory

Classical Topology and Combinatorial Group Theory
by: John Stillwell

Details

# Hardcover: 352 pages
# Publisher: Springer; 2nd edition (August 4, 1995)
# Language: English
# ISBN-10: 0387979700
# ISBN-13: 978-0387979700

Description

This is a well-balanced introduction to topology that stresses geometric aspects. Focusing on historical background and visual interpretation of results, it emphasizes spaces with few dimensions, where visualization is possible, and interaction with combinatorial group theory via the fundamental group. It also present algorithms for topological problems. Most of the results and proofs are known, but some have been simplified or placed in a new perspective. Over 300 illustrations, many interesting exercises, and challenging open problems are included. New in this edition is a chapter on unsolvable problems, which includes the first textbook proof that the main problem of topology, the homeomorphism problem, is unsolvable.

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