principles of topology dover books on mathematics

Download Book Principles Of Topology Dover Books On Mathematics in PDF format. You can Read Online Principles Of Topology Dover Books On Mathematics here in PDF, EPUB, Mobi or Docx formats.

Principles Of Topology

Author : Fred H. Croom
ISBN : 9780486801544
Genre : Mathematics
File Size : 25. 59 MB
Format : PDF
Download : 598
Read : 793

Get This Book


Originally published: Philadelphia: Saunders College Publishing, 1989; slightly corrected.

Topology For Analysis

Author : Albert Wilansky
ISBN : 9780486469034
Genre : Mathematics
File Size : 55. 64 MB
Format : PDF, Mobi
Download : 949
Read : 987

Get This Book


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.

Introduction To Topology

Author : Bert Mendelson
ISBN : 9780486135090
Genre : Mathematics
File Size : 63. 35 MB
Format : PDF, ePub, Docs
Download : 467
Read : 1216

Get This Book


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.

Basic Concepts Of Algebraic Topology

Author : F.H. Croom
ISBN : 9781468494754
Genre : Mathematics
File Size : 53. 62 MB
Format : PDF, Kindle
Download : 472
Read : 1134

Get This Book


This text is intended as a one semester introduction to algebraic topology at the undergraduate and beginning graduate levels. Basically, it covers simplicial homology theory, the fundamental group, covering spaces, the higher homotopy groups and introductory singular homology theory. The text follows a broad historical outline and uses the proofs of the discoverers of the important theorems when this is consistent with the elementary level of the course. This method of presentation is intended to reduce the abstract nature of algebraic topology to a level that is palatable for the beginning student and to provide motivation and cohesion that are often lacking in abstact treatments. The text emphasizes the geometric approach to algebraic topology and attempts to show the importance of topological concepts by applying them to problems of geometry and analysis. The prerequisites for this course are calculus at the sophomore level, a one semester introduction to the theory of groups, a one semester introduc tion to point-set topology and some familiarity with vector spaces. Outlines of the prerequisite material can be found in the appendices at the end of the text. It is suggested that the reader not spend time initially working on the appendices, but rather that he read from the beginning of the text, referring to the appendices as his memory needs refreshing. The text is designed for use by college juniors of normal intelligence and does not require "mathematical maturity" beyond the junior level.

Experiments In Topology

Author : Stephen Barr
ISBN : 9780486152745
Genre : Mathematics
File Size : 41. 5 MB
Format : PDF, Kindle
Download : 596
Read : 1224

Get This Book


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.

Introduction To Topology

Author : Theodore W. Gamelin
ISBN : 9780486320182
Genre : Mathematics
File Size : 25. 17 MB
Format : PDF, Docs
Download : 271
Read : 861

Get This Book


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.

A Combinatorial Introduction To Topology

Author : Michael Henle
ISBN : 0486679667
Genre : Mathematics
File Size : 51. 10 MB
Format : PDF, Mobi
Download : 149
Read : 981

Get This Book


Excellent text covers vector fields, plane homology and the Jordan Curve Theorem, surfaces, homology of complexes, more. Problems and exercises. Some knowledge of differential equations and multivariate calculus required.Bibliography. 1979 edition.

General Topology

Author : John L. Kelley
ISBN : 9780486815442
Genre : Mathematics
File Size : 62. 67 MB
Format : PDF
Download : 630
Read : 1200

Get This Book


"The clarity of the author's thought and the carefulness of his exposition make reading this book a pleasure," noted the Bulletin of the American Mathematical Society upon the 1955 publication of John L. Kelley's General Topology. This comprehensive treatment for beginning graduate-level students immediately found a significant audience, and it remains a highly worthwhile and relevant book for students of topology and for professionals in many areas. A systematic exposition of the part of general topology that has proven useful in several branches of mathematics, this volume is especially intended as background for modern analysis. An extensive preliminary chapter presents mathematical foundations for the main text. Subsequent chapters explore topological spaces, the Moore-Smith convergence, product and quotient spaces, embedding and metrization, and compact, uniform, and function spaces. Each chapter concludes with an abundance of problems, which form integral parts of the discussion as well as reinforcements and counter examples that mark the boundaries of possible theorems. The book concludes with an extensive index that provides supplementary material on elementary set theory.

Counterexamples In Topology

Author : Lynn Arthur Steen
ISBN : 048668735X
Genre : Mathematics
File Size : 34. 57 MB
Format : PDF, Docs
Download : 376
Read : 514

Get This Book


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.

A First Course In Topology

Author : Robert A Conover
ISBN : 9780486780016
Genre : Mathematics
File Size : 65. 22 MB
Format : PDF, Kindle
Download : 346
Read : 1037

Get This Book


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

Top Download:

Best Books