from geometry to topology dover books on mathematics

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From Geometry To Topology

Author : H. Graham Flegg
ISBN : 9780486138497
Genre : Mathematics
File Size : 47. 3 MB
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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.

Topology

Author : John G. Hocking
ISBN : 9780486141091
Genre : Mathematics
File Size : 58. 33 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.

Topology And Geometry For Physicists

Author : Charles Nash
ISBN : 9780486318363
Genre : Mathematics
File Size : 78. 16 MB
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Differential geometry and topology are essential tools for many theoretical physicists, particularly in the study of condensed matter physics, gravity, and particle physics. Written by physicists for physics students, this text introduces geometrical and topological methods in theoretical physics and applied mathematics. It assumes no detailed background in topology or geometry, and it emphasizes physical motivations, enabling students to apply the techniques to their physics formulas and research. "Thoroughly recommended" by The Physics Bulletin, this volume's physics applications range from condensed matter physics and statistical mechanics to elementary particle theory. Its main mathematical topics include differential forms, homotopy, homology, cohomology, fiber bundles, connection and covariant derivatives, and Morse theory.

A Geometric Introduction To Topology

Author : Charles Terence Clegg Wall
ISBN : 9780486678504
Genre : Mathematics
File Size : 38. 2 MB
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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.

An Introduction To Algebraic Topology

Author : Andrew H. Wallace
ISBN : 9780486152950
Genre : Mathematics
File Size : 30. 66 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.

Intuitive Concepts In Elementary Topology

Author : B.H. Arnold
ISBN : 9780486275765
Genre : Mathematics
File Size : 67. 70 MB
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Classroom-tested and much-cited, this concise text is designed for undergraduates. It offers a valuable and instructive introduction to the basic concepts of topology, taking an intuitive rather than an axiomatic viewpoint. 1962 edition.

Experiments In Topology

Author : Stephen Barr
ISBN : 9780486152745
Genre : Mathematics
File Size : 38. 23 MB
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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.

A Combinatorial Introduction To Topology

Author : Michael Henle
ISBN : 0486679667
Genre : Mathematics
File Size : 72. 68 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.

Algebraic Topology

Author :
ISBN : 730210588X
Genre : Algebraic topology
File Size : 89. 82 MB
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Combinatorial Topology

Author : Pavel S. Aleksandrov
ISBN : 0486401790
Genre : Mathematics
File Size : 70. 72 MB
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Clearly written, well-organized, 3-part text begins by dealing with certain classic problems without using the formal techniques of homology theory and advances to the central concept, the Betti groups. Numerous detailed examples.

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