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Author : William G. Chinn,Norman Earl Steenrod
Publisher : MAA
Page : 170 pages
File Size : 51,7 Mb
Release : 1966
Category : Mathematics
ISBN : 9780883856185
Over 150 problems and solutions.
Author : William G. Chinn,Norman E. Steenrod
Publisher : Unknown
Page : 160 pages
File Size : 46,9 Mb
Release : 1979
Category : Electronic
ISBN : OCLC:257935050
Author : Paul Alexandroff
Publisher : Courier Corporation
Page : 68 pages
File Size : 51,7 Mb
Release : 2012-08-13
Category : Mathematics
ISBN : 9780486155067
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.
Author : W. G. Chinn,Norman Steenrod
Publisher : Unknown
Page : 128 pages
File Size : 43,9 Mb
Release : 1966
Category : Electronic
ISBN : OCLC:473851663
Author : B.H. Arnold
Publisher : Courier Corporation
Page : 192 pages
File Size : 46,5 Mb
Release : 2015-02-23
Category : Mathematics
ISBN : 9780486275765
Classroom-tested and much-cited, this concise text is designed for undergraduates. It offers a valuable and instructive introduction to the basic concepts of topology, taking an intuitive rather than an axiomatic viewpoint. 1962 edition.
Author : Robert A Conover
Publisher : Courier Corporation
Page : 276 pages
File Size : 46,5 Mb
Release : 2014-05-21
Category : Mathematics
ISBN : 9780486780016
Students 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
Author : Charles Terence Clegg Wall
Publisher : Courier Corporation
Page : 195 pages
File Size : 51,6 Mb
Release : 1993-01-01
Category : Mathematics
ISBN : 9780486678504
First course in algebraic topology for advanced undergraduates. Homotopy theory, the duality theorem, relation of topological ideas to other branches of pure mathematics. Exercises and problems. 1972 edition.
Author : Bert Mendelson
Publisher : Courier Corporation
Page : 226 pages
File Size : 41,9 Mb
Release : 2012-04-26
Category : Mathematics
ISBN : 9780486135090
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.
Author : I.M. James
Publisher : Elsevier
Page : 1067 pages
File Size : 51,9 Mb
Release : 1999-08-24
Category : Mathematics
ISBN : 9780080534077
Topology, 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 : Steven G. Krantz
Publisher : CRC Press
Page : 422 pages
File Size : 43,7 Mb
Release : 2009-07-28
Category : Mathematics
ISBN : 9781420089752
Brings Readers Up to Speed in This Important and Rapidly Growing AreaSupported by many examples in mathematics, physics, economics, engineering, and other disciplines, Essentials of Topology with Applications provides a clear, insightful, and thorough introduction to the basics of modern topology. It presents the traditional concepts of topological
Author : Fred H. Croom
Publisher : Courier Dover Publications
Page : 340 pages
File Size : 49,8 Mb
Release : 2016-02-17
Category : Mathematics
ISBN : 9780486801544
Originally published: Philadelphia: Saunders College Publishing, 1989; slightly corrected.
Author : Tai-Danae Bradley,Tyler Bryson,John Terilla
Publisher : MIT Press
Page : 167 pages
File Size : 43,5 Mb
Release : 2020-08-18
Category : Mathematics
ISBN : 9780262359627
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.
Author : John McCleary
Publisher : American Mathematical Soc.
Page : 226 pages
File Size : 49,9 Mb
Release : 2006
Category : Mathematics
ISBN : 9780821838846
How many dimensions does our universe require for a comprehensive physical description? In 1905, Poincare argued philosophically about the necessity of the three familiar dimensions, while recent research is based on 11 dimensions or even 23 dimensions. The notion of dimension itself presented a basic problem to the pioneers of topology. Cantor asked if dimension was a topological feature of Euclidean space. To answer this question, some important topological ideas were introduced by Brouwer, giving shape to a subject whose development dominated the twentieth century. The basic notions in topology are varied and a comprehensive grounding in point-set topology, the definition and use of the fundamental group, and the beginnings of homology theory requires considerable time.The goal of this book is a focused introduction through these classical topics, aiming throughout at the classical result of the Invariance of Dimension. This text is based on the author's course given at Vassar College and is intended for advanced undergraduate students. It is suitable for a semester-long course on topology for students who have studied real analysis and linear algebra. It is also a good choice for a capstone course, senior seminar, or independent study.
Author : Stephen Barr
Publisher : Courier Corporation
Page : 244 pages
File Size : 51,9 Mb
Release : 2012-12-04
Category : Mathematics
ISBN : 9780486152745
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.
Author : Tej Bahadur Singh
Publisher : Springer
Page : 452 pages
File Size : 49,5 Mb
Release : 2019-05-17
Category : Mathematics
ISBN : 9789811369544
Topology is a large subject with several branches, broadly categorized as algebraic topology, point-set topology, and geometric topology. Point-set topology is the main language for a broad range of mathematical disciplines, while algebraic topology offers as a powerful tool for studying problems in geometry and numerous other areas of mathematics. This book presents the basic concepts of topology, including virtually all of the traditional topics in point-set topology, as well as elementary topics in algebraic topology such as fundamental groups and covering spaces. It also discusses topological groups and transformation groups. When combined with a working knowledge of analysis and algebra, this book offers a valuable resource for advanced undergraduate and beginning graduate students of mathematics specializing in algebraic topology and harmonic analysis.
