Introduction to Topology

Introduction to Topology PDF

Author: Theodore W. Gamelin

Publisher: Courier Corporation

Published: 2013-04-22

Total Pages: 258

ISBN-13: 0486320189

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This text explains nontrivial applications of metric space topology to analysis. Covers metric space, point-set topology, and algebraic topology. Includes exercises, selected answers, and 51 illustrations. 1983 edition.

Elementary Concepts of Topology

Elementary Concepts of Topology PDF

Author: Paul Alexandroff

Publisher: Courier Corporation

Published: 2012-08-13

Total Pages: 68

ISBN-13: 0486155064

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Concise work presents topological concepts in clear, elementary fashion, from basics of set-theoretic topology, through topological theorems and questions based on concept of the algebraic complex, to the concept of Betti groups. Includes 25 figures.

Team Topologies

Team Topologies PDF

Author: Matthew Skelton

Publisher: IT Revolution

Published: 2019-09-17

Total Pages: 208

ISBN-13: 1942788827

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Effective software teams are essential for any organization to deliver value continuously and sustainably. But how do you build the best team organization for your specific goals, culture, and needs? Team Topologies is a practical, step-by-step, adaptive model for organizational design and team interaction based on four fundamental team types and three team interaction patterns. It is a model that treats teams as the fundamental means of delivery, where team structures and communication pathways are able to evolve with technological and organizational maturity. In Team Topologies, IT consultants Matthew Skelton and Manuel Pais share secrets of successful team patterns and interactions to help readers choose and evolve the right team patterns for their organization, making sure to keep the software healthy and optimize value streams. Team Topologies is a major step forward in organizational design for software, presenting a well-defined way for teams to interact and interrelate that helps make the resulting software architecture clearer and more sustainable, turning inter-team problems into valuable signals for the self-steering organization.

Experiments in Topology

Experiments in Topology PDF

Author: Stephen Barr

Publisher: Courier Corporation

Published: 2012-12-04

Total Pages: 244

ISBN-13: 048615274X

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Classic, lively explanation of one of the byways of mathematics. Klein bottles, Moebius strips, projective planes, map coloring, problem of the Koenigsberg bridges, much more, described with clarity and wit.

Counterexamples in Topology

Counterexamples in Topology PDF

Author: Lynn Arthur Steen

Publisher: Courier Corporation

Published: 2013-04-22

Total Pages: 274

ISBN-13: 0486319296

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Over 140 examples, preceded by a succinct exposition of general topology and basic terminology. Each example treated as a whole. Numerous problems and exercises correlated with examples. 1978 edition. Bibliography.

Topology

Topology PDF

Author: Tai-Danae Bradley

Publisher: MIT Press

Published: 2020-08-18

Total Pages: 167

ISBN-13: 0262359626

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A graduate-level textbook that presents basic topology from the perspective of category theory. This graduate-level textbook on topology takes a unique approach: it reintroduces basic, point-set topology from a more modern, categorical perspective. Many graduate students are familiar with the ideas of point-set topology and they are ready to learn something new about them. Teaching the subject using category theory--a contemporary branch of mathematics that provides a way to represent abstract concepts--both deepens students' understanding of elementary topology and lays a solid foundation for future work in advanced topics.

Topology Now!

Topology Now! PDF

Author: Robert Messer

Publisher: American Mathematical Soc.

Published: 2018-10-10

Total Pages: 240

ISBN-13: 1470447819

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Topology is a branch of mathematics packed with intriguing concepts, fascinating geometrical objects, and ingenious methods for studying them. The authors have written this textbook to make the material accessible to undergraduate students without requiring extensive prerequisites in upper-level mathematics. The approach is to cultivate the intuitive ideas of continuity, convergence, and connectedness so students can quickly delve into knot theory, the topology of surfaces and three-dimensional manifolds, fixed points and elementary homotopy theory. The fundamental concepts of point-set topology appear at the end of the book when students can see how this level of abstraction provides a sound logical basis for the geometrical ideas that have come before. This organization exposes students to the exciting world of topology now(!) rather than later. Students using this textbook should have some exposure to the geometry of objects in higher-dimensional Euclidean spaces together with an appreciation of precise mathematical definitions and proofs.

Introduction to Topology

Introduction to Topology PDF

Author: Bert Mendelson

Publisher: Courier Corporation

Published: 2012-04-26

Total Pages: 226

ISBN-13: 0486135098

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Concise undergraduate introduction to fundamentals of topology — clearly and engagingly written, and filled with stimulating, imaginative exercises. Topics include set theory, metric and topological spaces, connectedness, and compactness. 1975 edition.

Point Set Topology

Point Set Topology PDF

Author: Steven A. Gaal

Publisher: Courier Corporation

Published: 2009-04-23

Total Pages: 338

ISBN-13: 0486472221

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Suitable for a complete course in topology, this text also functions as a self-contained treatment for independent study. Additional enrichment materials make it equally valuable as a reference. 1964 edition.