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Author: Paul Alexandroff
Publisher: Courier Corporation
Published: 2012-08-13
Total Pages: 68
ISBN-13: 0486155064
DOWNLOAD EBOOKConcise 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.
Author: Matthew Skelton
Publisher: IT Revolution
Published: 2019-09-17
Total Pages: 210
ISBN-13: 1942788827
DOWNLOAD EBOOKEffective 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.
Author: Theodore W. Gamelin
Publisher: Courier Corporation
Published: 2013-04-22
Total Pages: 258
ISBN-13: 0486320189
DOWNLOAD EBOOKThis 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.
Author: Stephen Barr
Publisher: Courier Corporation
Published: 2012-12-04
Total Pages: 244
ISBN-13: 048615274X
DOWNLOAD EBOOKClassic, 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.
Author: Tai-Danae Bradley
Publisher: MIT Press
Published: 2020-08-18
Total Pages: 167
ISBN-13: 0262359626
DOWNLOAD EBOOKA 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.
Author: Lynn Arthur Steen
Publisher: Courier Corporation
Published: 2013-04-22
Total Pages: 274
ISBN-13: 0486319296
DOWNLOAD EBOOKOver 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.
Author: Bert Mendelson
Publisher: Courier Corporation
Published: 2012-04-26
Total Pages: 226
ISBN-13: 0486135098
DOWNLOAD EBOOKConcise 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.
Author: Steven A. Gaal
Publisher: Courier Corporation
Published: 2009-04-23
Total Pages: 338
ISBN-13: 0486472221
DOWNLOAD EBOOKSuitable 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.
Author: I.M. James
Publisher: Elsevier
Published: 1999-08-24
Total Pages: 1067
ISBN-13: 0080534074
DOWNLOAD EBOOKTopology, for many years, has been one of the most exciting and influential fields of research in modern mathematics. Although its origins may be traced back several hundred years, it was Poincaré who "gave topology wings" in a classic series of articles published around the turn of the century. While the earlier history, sometimes called the prehistory, is also considered, this volume is mainly concerned with the more recent history of topology, from Poincaré onwards.As will be seen from the list of contents the articles cover a wide range of topics. Some are more technical than others, but the reader without a great deal of technical knowledge should still find most of the articles accessible. Some are written by professional historians of mathematics, others by historically-minded mathematicians, who tend to have a different viewpoint.
Author: Robert A Conover
Publisher: Courier Corporation
Published: 2014-05-21
Total Pages: 276
ISBN-13: 0486780015
DOWNLOAD EBOOKStudents must prove all of the theorems in this undergraduate-level text, which features extensive outlines to assist in study and comprehension. Thorough and well-written, the treatment provides sufficient material for a one-year undergraduate course. The logical presentation anticipates students' questions, and complete definitions and expositions of topics relate new concepts to previously discussed subjects. Most of the material focuses on point-set topology with the exception of the last chapter. Topics include sets and functions, infinite sets and transfinite numbers, topological spaces and basic concepts, product spaces, connectivity, and compactness. Additional subjects include separation axioms, complete spaces, and homotopy and the fundamental group. Numerous hints and figures illuminate the text. Dover (2014) republication of the edition originally published by The Williams & Wilkins Company, Baltimore, 1975. See every Dover book in print at www.doverpublications.com
