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Author : K. D. Joshi
Publisher : New Age International
ISBN 13 : 9780852264447
Total Pages : 430 pages
Book Rating : 4.2/5 (644 download)
Download or read book Introduction to General Topology written by K. D. Joshi and published by New Age International. This book was released on 1983 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Tom Richmond
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110686724
Total Pages : 397 pages
Book Rating : 4.1/5 (16 download)
Download or read book General Topology written by Tom Richmond and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-07-06 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first half of the book provides an introduction to general topology, with ample space given to exercises and carefully selected applications. The second half of the text includes topics in asymmetric topology, a field motivated by applications in computer science. Recurring themes include the interactions of topology with order theory and mathematics designed to model loss-of-resolution situations.
Author : Paul E. Long
Publisher : Merrill Publishing Company
ISBN 13 :
Total Pages : 296 pages
Book Rating : 4.:/5 (318 download)
Download or read book An Introduction to General Topology written by Paul E. Long and published by Merrill Publishing Company. This book was released on 1971 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Tej Bahadur Singh
Publisher : Springer
ISBN 13 : 9811369542
Total Pages : 452 pages
Book Rating : 4.8/5 (113 download)
Download or read book Introduction to Topology written by Tej Bahadur Singh and published by Springer. This book was released on 2019-05-17 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Theodore W. Gamelin
Publisher : Courier Corporation
ISBN 13 : 0486320189
Total Pages : 258 pages
Book Rating : 4.4/5 (863 download)
Download or read book Introduction to Topology written by Theodore W. Gamelin and published by Courier Corporation. This book was released on 2013-04-22 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : William J. Pervin
Publisher : Academic Press
ISBN 13 : 1483225151
Total Pages : 222 pages
Book Rating : 4.4/5 (832 download)
Download or read book Foundations of General Topology written by William J. Pervin and published by Academic Press. This book was released on 2014-05-12 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Foundations of General Topology presents the value of careful presentations of proofs and shows the power of abstraction. This book provides a careful treatment of general topology. Organized into 11 chapters, this book begins with an overview of the important notions about cardinal and ordinal numbers. This text then presents the fundamentals of general topology in logical order processing from the most general case of a topological space to the restrictive case of a complete metric space. Other chapters consider a general method for completing a metric space that is applicable to the rationals and present the sufficient conditions for metrizability. This book discusses as well the study of spaces of real-valued continuous functions. The final chapter deals with uniform continuity of functions, which involves finding a distance that satisfies certain requirements for all points of the space simultaneously. This book is a valuable resource for students and research workers.
Author : John L. Kelley
Publisher : Courier Dover Publications
ISBN 13 : 0486820661
Total Pages : 320 pages
Book Rating : 4.4/5 (868 download)
Download or read book General Topology written by John L. Kelley and published by Courier Dover Publications. This book was released on 2017-03-07 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive text for beginning graduate-level students and professionals. "The clarity of the author's thought and the carefulness of his exposition make reading this book a pleasure." — Bulletin of the American Mathematical Society. 1955 edition.
Author : Bert Mendelson
Publisher : Courier Corporation
ISBN 13 : 0486135098
Total Pages : 226 pages
Book Rating : 4.4/5 (861 download)
Download or read book Introduction to Topology written by Bert Mendelson and published by Courier Corporation. This book was released on 2012-04-26 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Stefan Waldmann
Publisher : Springer
ISBN 13 : 331909680X
Total Pages : 136 pages
Book Rating : 4.3/5 (19 download)
Download or read book Topology written by Stefan Waldmann and published by Springer. This book was released on 2014-08-05 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a concise introduction to topology and is necessary for courses in differential geometry, functional analysis, algebraic topology, etc. Topology is a fundamental tool in most branches of pure mathematics and is also omnipresent in more applied parts of mathematics. Therefore students will need fundamental topological notions already at an early stage in their bachelor programs. While there are already many excellent monographs on general topology, most of them are too large for a first bachelor course. Topology fills this gap and can be either used for self-study or as the basis of a topology course.
Author : Charles Terence Clegg Wall
Publisher : Courier Corporation
ISBN 13 : 0486678504
Total Pages : 195 pages
Book Rating : 4.4/5 (866 download)
Download or read book A Geometric Introduction to Topology written by Charles Terence Clegg Wall and published by Courier Corporation. This book was released on 1993-01-01 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Henry David Thoreau
Publisher :
ISBN 13 :
Total Pages : 270 pages
Book Rating : 4.:/5 (32 download)
Download or read book Cape Cod written by Henry David Thoreau and published by . This book was released on 1892 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Wilson A Sutherland
Publisher : Oxford University Press
ISBN 13 : 0191568309
Total Pages : 219 pages
Book Rating : 4.1/5 (915 download)
Download or read book Introduction to Metric and Topological Spaces written by Wilson A Sutherland and published by Oxford University Press. This book was released on 2009-06-18 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the ways in which topology has influenced other branches of mathematics in the past few decades is by putting the study of continuity and convergence into a general setting. This new edition of Wilson Sutherland's classic text introduces metric and topological spaces by describing some of that influence. The aim is to move gradually from familiar real analysis to abstract topological spaces, using metric spaces as a bridge between the two. The language of metric and topological spaces is established with continuity as the motivating concept. Several concepts are introduced, first in metric spaces and then repeated for topological spaces, to help convey familiarity. The discussion develops to cover connectedness, compactness and completeness, a trio widely used in the rest of mathematics. Topology also has a more geometric aspect which is familiar in popular expositions of the subject as `rubber-sheet geometry', with pictures of Möbius bands, doughnuts, Klein bottles and the like; this geometric aspect is illustrated by describing some standard surfaces, and it is shown how all this fits into the same story as the more analytic developments. The book is primarily aimed at second- or third-year mathematics students. There are numerous exercises, many of the more challenging ones accompanied by hints, as well as a companion website, with further explanations and examples as well as material supplementary to that in the book.
Author : O. Ya. Viro, O. A. Ivanov, N. Yu. Netsvetaev, V. M. Kharlamov
Publisher : American Mathematical Soc.
ISBN 13 : 9780821886250
Total Pages : 432 pages
Book Rating : 4.8/5 (862 download)
Download or read book Elementary Topology written by O. Ya. Viro, O. A. Ivanov, N. Yu. Netsvetaev, V. M. Kharlamov and published by American Mathematical Soc.. This book was released on with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Iain T. Adamson
Publisher : Springer Science & Business Media
ISBN 13 : 0817681264
Total Pages : 152 pages
Book Rating : 4.8/5 (176 download)
Download or read book A General Topology Workbook written by Iain T. Adamson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has been called a Workbook to make it clear from the start that it is not a conventional textbook. Conventional textbooks proceed by giving in each section or chapter first the definitions of the terms to be used, the concepts they are to work with, then some theorems involving these terms (complete with proofs) and finally some examples and exercises to test the readers' understanding of the definitions and the theorems. Readers of this book will indeed find all the conventional constituents--definitions, theorems, proofs, examples and exercises but not in the conventional arrangement. In the first part of the book will be found a quick review of the basic definitions of general topology interspersed with a large num ber of exercises, some of which are also described as theorems. (The use of the word Theorem is not intended as an indication of difficulty but of importance and usefulness. ) The exercises are deliberately not "graded"-after all the problems we meet in mathematical "real life" do not come in order of difficulty; some of them are very simple illustrative examples; others are in the nature of tutorial problems for a conven tional course, while others are quite difficult results. No solutions of the exercises, no proofs of the theorems are included in the first part of the book-this is a Workbook and readers are invited to try their hand at solving the problems and proving the theorems for themselves.
Author : Waclaw Sierpinski
Publisher : Courier Dover Publications
ISBN 13 : 0486842541
Total Pages : 305 pages
Book Rating : 4.4/5 (868 download)
Download or read book General Topology written by Waclaw Sierpinski and published by Courier Dover Publications. This book was released on 2020-04-15 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Critically acclaimed text by distinguished mathematician presents detailed theory of Fréchet (V) spaces and comprehensive examination of their relevance to topological spaces, plus in-depth discussions of metric and complete spaces. 1956 edition.
Author : Stephen Willard
Publisher : Courier Corporation
ISBN 13 : 0486131785
Total Pages : 386 pages
Book Rating : 4.4/5 (861 download)
Download or read book General Topology written by Stephen Willard and published by Courier Corporation. This book was released on 2012-07-12 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : V. A. Vasilʹev
Publisher : American Mathematical Soc.
ISBN 13 : 0821821628
Total Pages : 165 pages
Book Rating : 4.8/5 (218 download)
Download or read book Introduction to Topology written by V. A. Vasilʹev and published by American Mathematical Soc.. This book was released on 2001 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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."
