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Mathematics
Topology


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Featured Titles in Mathematics - Topology
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Introduction to Applied Topology: Pure and Applied
Introduction to Applied Topology: Pure and Applied
by Colin Adams
Publisher Comments
 Learn the basics of point-set topology with the understanding of its real-world application to a variety of other subjects including science, economics, engineering, and other areas of mathematics.   Introduces topology as an important... (read more)

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A Combinatorial Introduction to Topology
A Combinatorial Introduction to Topology
by Michael Henle
Publisher Comments
Excellent text for upper-level undergraduate and graduate students shows how geometric and algebraic ideas met and grew together into an important branch of mathematics. Lucid coverage of vector fields, surfaces, homology of complexes, much more. Some... (read more)

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Algebraic Topology from a Homotopical Viewpoint
Algebraic Topology from a Homotopical Viewpoint
by Marcelo Alberto Aguilar
Publisher Comments
The purpose of this book is to introduce algebraic topology using the novel approach of homotopy theory, an approach with clear applications in algebraic geometry as understood by Lawson and Voevodsky. This method allows the authors to cover the material... (read more)

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Divine Proportion
Divine Proportion
by H E Huntley
Publisher Comments
Engaging introduction to that curious feature of mathematics which provides framework for so many structures in biology, chemistry, and the arts. Discussion ranges from theories of biological growth to intervals and tones in music, Pythagorean numerology,... (read more)

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Topology
Topology
by John G Hocking
Publisher Comments
Designed as a text for a one-year first course in topology, this authoritative volume offers an excellent general treatment of the main ideas of topology. It includes a large number and variety of topics from classical topology as well as newer areas of... (read more)

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Modern Analysis and Topology (Universitext)
Modern Analysis and Topology (Universitext)
by Norman R. Howes
Publisher Comments
The purpose of this book is to provide an integrated development of modern analysis and topology through the integrating vehicle of uniform spaces. The reader should have taken an advanced calculus course and an introductory topology course. It is... (read more)

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Algebraic Topology
Algebraic Topology
by Allen Hatcher
Publisher Comments
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.... (read more)

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Riemannian Topology and Geometric Structures on Manifolds
Riemannian Topology and Geometric Structures on Manifolds
by Krzysztof Galicki
Publisher Comments
Riemannian Topology and Structures on Manifolds results from a similarly entitled conference held on the occasion of Charles P. Boyer's 65th birthday. The various contributions to this volume discuss recent advances in the areas of positive sectional... (read more)

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Geometric and Topological Methods for Quantum Field Theory
Geometric and Topological Methods for Quantum Field Theory
by Hernan Ocampo
Publisher Comments
Aimed at graduate students in physics and mathematics, this book provides an introduction to recent developments in several active topics at the interface between algebra, geometry, topology and quantum field theory. The first part of the book begins... (read more)

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Graduate Texts in Mathematics #219: The Arithmetic of Hyperbolic 3-Manifolds
Graduate Texts in Mathematics #219: The Arithmetic of Hyperbolic 3-Manifolds
by Colin Maclachland and Alan W. Reid
Publisher Comments
Recently there has been considerable interest in developing techniques based on number theory to attack problems of 3-manifolds; Contains many examples and lots of problems; Brings together much of the existing literature of Kleinian groups in a clear... (read more)

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New Mathematical Monographs #10: Monopoles and Three-Manifolds
New Mathematical Monographs #10: Monopoles and Three-Manifolds
by Peter Kronheimer
Publisher Comments
Originating with Andreas Floer in the 1980s, Floer homology has proved to be an effective tool in tackling many important problems in three- and four-dimensional geometry and topology. This book provides a comprehensive treatment of Floer homology, based... (read more)

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Hodge Theory (MN-49): (Mathematical Notes)
Hodge Theory (MN-49): (Mathematical Notes)
by Eduardo Cattani
Publisher Comments
This book provides a comprehensive and up-to-date introduction to Hodge theory--one of the central and most vibrant areas of contemporary mathematics--from leading specialists on the subject. The topics range from the basic topology of algebraic... (read more)

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Supersymmetry and Equivariant de Rham Theory
Supersymmetry and Equivariant de Rham Theory
by Victor W. Guillemin
Publisher Comments
Equivariant cohomology in the framework of smooth manifolds is the subject of this book which is part of a collection of volumes edited by J. Brüning and V. M. Guillemin. The point of departure are two relatively short but very remarkable papers by... (read more)

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Lecture Notes in Mathematics #304: Homotopy Limits, Completions and Localizations
Lecture Notes in Mathematics #304: Homotopy Limits, Completions and Localizations
by A. K. Bousfield
Publisher Comments
The main purpose of part I of these notes is to develop for a ring R a functional notion of R-completion of a space X. For R=Zp and X subject to usual finiteness condition, the R-completion coincides up to homotopy, with the p-profinite completion of... (read more)

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Recent Developments in Algebraic Topology
Recent Developments in Algebraic Topology
by Alejandro Adem
Book News Annotation
This collection of papers is based on talks at a December 2003 conference. Papers illustrate the versatility of algebraic topology interacting with others areas of mathematics and physics. Topics discussed range from classical differential topology... (read more)

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Algebraic Models in Geometry
Algebraic Models in Geometry
by Yves Felix
Publisher Comments
Rational homotopy is a very powerful tool for differential topology and geometry. This text aims to provide graduates and researchers with the tools necessary for the use of rational homotopy in geometry. Algebraic Models in Geometry has been written for... (read more)

Your price: $74.95
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General Topology
General Topology
by John L. Kelley
Publisher Comments
General Topology is not only a textbook, it is also an invaluable reference work for all mathematicians working the field of analysis. It has long been out of print, but a whole generation of mathematicians, including myself, learned their topology from... (read more)

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Undergraduate Topology
Undergraduate Topology
by Robert Herman Kasriel
Publisher Comments
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... (read more)

Your price: $14.95
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Theory of Linear Operations
Theory of Linear Operations
by Stefan Banach
Publisher Comments
Created by the founder of modern functional analysis, this is the first text on the theory of linear operators, written in 1932 and translated into English in 1987. Author Stefan Banach's numerous mathematical achievements include his theory of... (read more)

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Algebraic Topology : a First Course ((Rev)81 Edition)
Algebraic Topology : a First Course ((Rev)81 Edition)
by M. J. Greenberg
Synopsis
Great first book on algebraic topology. Introduces (co)homology through singular theory.... (read more)

List Price $61.00
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