 Formal Knot Theory
by Louis H. Kauffman
The author draws upon his work as a topologist to illustrate the relationships between knot theory and statistical mechanics, quantum theory, and algebra, as well as the role of knot theory in combinatorics. 51 illustrations. 1983 edition.
all books in General and Popular Mathematics
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| |  Counterexamples in Topology
by Lynn Arthur Steen, J. Arthur Seebach, Jr.
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.
all books in Topology
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 Introduction to Topology: Second Edition
by Theodore W. Gamelin, Robert Everist Greene
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.
all books in Topology
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| |  Introduction to Topology: Third Edition
by Bert Mendelson
An undergraduate introduction to the fundamentals of topology — engagingly written, filled with helpful insights, complete with many stimulating and imaginative exercises to help students develop a solid grasp of the subject.
all books in Topology
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| |  A Combinatorial Introduction to Topology
by Michael Henle
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.
all books in Topology
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 Elementary Topology: Second Edition
by Michael C. Gemignani
Superb introduction to metric spaces, topologies, convergence, compactness, connectedness, homotopy theory, other essentials. Numerous exercises, plus section on paracompactness and complete regularity. References. Includes 107 illustrations.
all books in Topology
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| |  Point Set Topology
by Steven A. Gaal
Suitable for a complete course in topology, this text also functions as a self-contained treatment for independent study. Additional enrichment materials make it equally valuable as a reference. 1964 edition.
all books in Topology
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 Experiments in Topology
by Stephen Barr
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.
all books in General Science
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| |  Topology
by John G. Hocking, Gail S. Young
Superb one-year course in classical topology. Topological spaces and functions, point-set topology, much more. Examples and problems. Bibliography. Index.
all books in Topology
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 Elementary Concepts of Topology
by Paul Alexandroff
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.
all books in Topology
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| |  Algebraic Topology
by C. R. F. Maunder
Thorough, modern treatment, essentially from a homotopy theoretic viewpoint. Topics include homotopy and simplicial complexes, the fundamental group, homology theory, homotopy theory, homotopy groups and CW-Complexes, and other topics. Includes exercises. Bibliography. 1980 corrected edition.
all books in Topology
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 Elements of Point-Set Topology
by John D. Baum
Basic treatment covers preliminaries (sets, relations, etc.), topological spaces, continuous functions (mappings) and homeomorphisms, special types of topological spaces, metric spaces, more. Geometric and axiomatic approach for easier accessibility. Exercises. Bibliography.
all books in Topology
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| |  General Topology
by Waclaw Sierpinski
Detailed theory of Fréchet (V) spaces and a comprehensive examination of their relevance to topological spaces, plus in-depth discussions of metric and complete spaces. For beginning students and mature mathematicians. Second edition.
all books in Topology
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 Set Topology
by R. Vaidyanathaswamy
This introductory text covers the algebra of subsets and of rings and fields of sets, complementation and ideal theory in the distributive lattice, closure function, neighborhood topology, much more. Includes numerous exercises. 1960 edition.
all books in Topology
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| |  Statistical Mechanics
by Norman Davidson
Sufficiently rigorous for introductory or intermediate graduate courses, this text offers a comprehensive treatment of the techniques and limitations of statistical mechanics. 82 figures. 15 tables. 1962 edition.
all books in Chemistry
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 Statistical Mechanics: Principles and Selected Applications
by Terrell L. Hill
Standard text covers classical statistical mechanics, quantum statistical mechanics, relation of statistical mechanics to thermodynamics, plus fluctuations, theory of imperfect gases and condensation, distribution functions and the liquid state, more.
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