Algebraic Topology

Author: C. R. F. Maunder
Publisher: Courier Corporation
ISBN: 9780486691312
Format: PDF, ePub
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Based on lectures to advanced undergraduate and first-year graduate students, this is a thorough, sophisticated, and modern treatment of elementary algebraic topology, essentially from a homotopy theoretic viewpoint. Author C.R.F. Maunder provides examples and exercises; and notes and references at the end of each chapter trace the historical development of the subject.

Principles of Topology

Author: Fred H. Croom
Publisher: Courier Dover Publications
ISBN: 0486801543
Format: PDF, Kindle
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Originally published: Philadelphia: Saunders College Publishing, 1989; slightly corrected.

Introduction to Topology

Author: Bert Mendelson
Publisher: Courier Corporation
ISBN: 0486135098
Format: PDF, Mobi
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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.

Elementary Topology

Author: Michael C. Gemignani
Publisher: Courier Corporation
ISBN: 9780486665221
Format: PDF, ePub, Mobi
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Topology is one of the most rapidly expanding areas of mathematical thought: while its roots are in geometry and analysis, topology now serves as a powerful tool in almost every sphere of mathematical study. This book is intended as a first text in topology, accessible to readers with at least three semesters of a calculus and analytic geometry sequence. In addition to superb coverage of the fundamentals of metric spaces, topologies, convergence, compactness, connectedness, homotopy theory, and other essentials, Elementary Topology gives added perspective as the author demonstrates how abstract topological notions developed from classical mathematics. For this second edition, numerous exercises have been added as well as a section dealing with paracompactness and complete regularity. The Appendix on infinite products has been extended to include the general Tychonoff theorem; a proof of the Tychonoff theorem which does not depend on the theory of convergence has also been added in Chapter 7.

Experiments in Topology

Author: Stephen Barr
Publisher: Courier Corporation
ISBN: 048615274X
Format: PDF, Mobi
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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.

From Geometry to Topology

Author: H. Graham Flegg
Publisher: Courier Corporation
ISBN: 0486138496
Format: PDF, Kindle
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Introductory text for first-year math students uses intuitive approach, bridges the gap from familiar concepts of geometry to topology. Exercises and Problems. Includes 101 black-and-white illustrations. 1974 edition.

A Combinatorial Introduction to Topology

Author: Michael Henle
Publisher: Courier Corporation
ISBN: 9780486679662
Format: PDF
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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: Stephen Willard
Publisher: Courier Corporation
ISBN: 0486131785
Format: PDF, ePub, Docs
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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.

Undergraduate Topology

Author: Robert H. Kasriel
Publisher:
ISBN: 9780486474199
Format: PDF, Kindle
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General topology offers a valuable tool to students of mathematics, particularly in courses involving complex, real, and functional analysis. This introductory treatment is essentially self-contained, and it features explanations and proofs that relate to every practical aspect of point-set topology. It will prove valuable to undergraduate mathematics majors as well as to graduate students and professionals pursuing mathematics research. Author Robert H. Kasriel, who taught at Georgia Tech for many years, begins with reviews of elementary set theory and Euclidean n-space. The following chapters offer detailed studies of metric spaces and applications to analysis. A survey of general topological spaces and mappings includes considerations of compactness, connectedness, quotient spaces, net and filter convergence, and product spaces. Nearly every one of the 112 sections in this book concludes with a set of exercises that reinforce materials already covered and prepare students for subsequent chapters.