topology dover books on mathematics

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Topology

Author : John G. Hocking
ISBN : 9780486141091
Genre : Mathematics
File Size : 75. 94 MB
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Superb one-year course in classical topology. Topological spaces and functions, point-set topology, much more. Examples and problems. Bibliography. Index.

A Combinatorial Introduction To Topology

Author : Michael Henle
ISBN : 0486679667
Genre : Mathematics
File Size : 66. 13 MB
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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.

An Introduction To Algebraic Topology

Author : Andrew H. Wallace
ISBN : 9780486152950
Genre : Mathematics
File Size : 24. 57 MB
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This self-contained treatment begins with three chapters on the basics of point-set topology, after which it proceeds to homology groups and continuous mapping, barycentric subdivision, and simplicial complexes. 1961 edition.

Algebraic Topology

Author : Allen Hatcher
ISBN : 0521795400
Genre : Mathematics
File Size : 87. 62 MB
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An introductory textbook suitable for use in a course or for self-study, featuring broad coverage of the subject and a readable exposition, with many examples and exercises.

Introduction To Topology

Author : Bert Mendelson
ISBN : UOM:39015015617627
Genre : Mathematics
File Size : 42. 62 MB
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Elementary Concepts Of Topology

Author : Paul Alexandroff
ISBN : 9780486155067
Genre : Mathematics
File Size : 30. 42 MB
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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.

Experiments In Topology

Author : Stephen Barr
ISBN : 9780486152745
Genre : Mathematics
File Size : 27. 69 MB
Format : PDF
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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.

General Topology

Author : John L. Kelley
ISBN : 9780486820668
Genre : Mathematics
File Size : 82. 90 MB
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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.

Principles Of Topology

Author : Fred H. Croom
ISBN : 9780486801544
Genre : Mathematics
File Size : 38. 37 MB
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Originally published: Philadelphia: Saunders College Publishing, 1989; slightly corrected.

Undergraduate Topology

Author : Robert H. Kasriel
ISBN : 0486474194
Genre : Mathematics
File Size : 77. 14 MB
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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.

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