Author : Theodore W. Gamelin
Publisher : Courier Corporation
Page : 258 pages
File Size : 41,42 MB
Release : 2013-04-22
Category : Mathematics
ISBN : 0486320189
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.
Author : O. Ya. Viro, O. A. Ivanov, N. Yu. Netsvetaev, V. M. Kharlamov
Publisher : American Mathematical Soc.
Page : 432 pages
File Size : 46,92 MB
Release :
Category : Mathematics
ISBN : 9780821886250
This text contains a detailed introduction to general topology and an introduction to algebraic topology via its most classical and elementary segment. Proofs of theorems are separated from their formulations and are gathered at the end of each chapter, making this book appear like a problem book and also giving it appeal to the expert as a handbook. The book includes about 1,000 exercises.
Author : Albert Wilansky
Publisher : Courier Corporation
Page : 399 pages
File Size : 49,44 MB
Release : 2008-10-17
Category : Mathematics
ISBN : 0486469034
Starting with the first principles of topology, this volume advances to general analysis. Three levels of examples and problems make it appropriate for students and professionals. Abundant exercises, ordered and numbered by degree of difficulty, illustrate important concepts, and a 40-page appendix includes tables of theorems and counterexamples. 1970 edition.
Author : Ryszard Engelking
Publisher :
Page : 0 pages
File Size : 31,49 MB
Release : 1977
Category : Topology
ISBN :
Author : Bert Mendelson
Publisher : Courier Corporation
Page : 226 pages
File Size : 35,83 MB
Release : 2012-04-26
Category : Mathematics
ISBN : 0486135098
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 : Stephen Willard
Publisher : Courier Corporation
Page : 386 pages
File Size : 10,70 MB
Release : 2012-07-12
Category : Mathematics
ISBN : 0486131785
Among the best available reference introductions to general topology, this volume is appropriate for advanced undergraduate and beginning graduate students. Includes historical notes and over 340 detailed exercises. 1970 edition. Includes 27 figures.
Author : J. van Mill
Publisher : North Holland
Page : 716 pages
File Size : 17,49 MB
Release : 1990
Category : Mathematics
ISBN :
From the Introduction: This volume grew from a discussion by the editors on the difficulty of finding good thesis problems for graduate students in topology. Although at any given time we each had our own favorite problems, we acknowledged the need to offer students a wider selection from which to choose a topic peculiar to their interests. One of us remarked, 'Wouldn't it be nice to have a book of current unsolved problems always available to pull down from the shelf?' The other replied 'Why don't we simply produce such a book?' Two years later and not so simply, here is the resulting volume. The intent is to provide not only a source book for thesis-level problems but also a challenge to the best researchers in the field.
Author : M.A. Armstrong
Publisher : Springer Science & Business Media
Page : 260 pages
File Size : 45,40 MB
Release : 2013-04-09
Category : Mathematics
ISBN : 1475717938
In this broad introduction to topology, the author searches for topological invariants of spaces, together with techniques for their calculating. Students with knowledge of real analysis, elementary group theory, and linear algebra will quickly become familiar with a wide variety of techniques and applications involving point-set, geometric, and algebraic topology. Over 139 illustrations and more than 350 problems of various difficulties help students gain a thorough understanding of the subject.
Author : V. A. Vasilʹev
Publisher : American Mathematical Soc.
Page : 165 pages
File Size : 36,22 MB
Release : 2001
Category : Mathematics
ISBN : 0821821628
This English translation of a Russian book presents the basic notions of differential and algebraic topology, which are indispensable for specialists and useful for research mathematicians and theoretical physicists. In particular, ideas and results are introduced related to manifolds, cell spaces, coverings and fibrations, homotopy groups, homology and cohomology, intersection index, etc. The author notes, "The lecture note origins of the book left a significant imprint on itsstyle. It contains very few detailed proofs: I tried to give as many illustrations as possible and to show what really occurs in topology, not always explaining why it occurs." He concludes, "As a rule, only those proofs (or sketches of proofs) that are interesting per se and have importantgeneralizations are presented."
Author : Colin Conrad Adams
Publisher : Pearson
Page : 520 pages
File Size : 24,48 MB
Release : 2008
Category : Mathematics
ISBN :
Learn the basics of point-set topology with the understanding of its real-world application to a variety of other subjects including science, economics, engineering, and other areas of mathematics. Introduces topology as an important and fascinating mathematics discipline to retain the readers interest in the subject. Is written in an accessible way for readers to understand the usefulness and importance of the application of topology to other fields. Introduces topology concepts combined with their real-world application to subjects such DNA, heart stimulation, population modeling, cosmology, and computer graphics. Covers topics including knot theory, degree theory, dynamical systems and chaos, graph theory, metric spaces, connectedness, and compactness. A useful reference for readers wanting an intuitive introduction to topology.
