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Mathematics


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Mathematics
Topology


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Featured Titles in Mathematics - Topology
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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)

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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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Topology 2ND Edition
Topology 2ND Edition
by James Munkres
Publisher Comments
This introduction to topology provides separate, in-depth coverage of both general topology and algebraic topology. Includes many examples and figures. GENERAL TOPOLOGY. Set Theory and Logic. Topological Spaces and Continuous Functions. Connectedness... (read more)

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A First Course in Topology: An Introduction to Mathematical Thinking
A First Course in Topology: An Introduction to Mathematical Thinking
by Robert A Conover
Publisher Comments
Students must prove all of the theorems in this undergraduate-level text, which features extensive outlines to assist in study and comprehension. Thorough and well-written, the treatment provides sufficient material for a one-year undergraduate course... (read more)

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Algebraic Topology (02 Edition)
Algebraic Topology (02 Edition)
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)

Available July 2014
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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)

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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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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)

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Shape Theory: Categorical Methods of Approximation
Shape Theory: Categorical Methods of Approximation
by J. M. Cordier
Publisher Comments
This in-depth treatment uses shape theory as a "case study" to illustrate situations common to many areas of mathematics, including the use of archetypal models as a basis for systems of approximations. It offers students a unified and consolidated... (read more)

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London Mathematical Society Lecture Note Series #178: Lower K-& L-Theory
London Mathematical Society Lecture Note Series #178: Lower K-& L-Theory
by A Ranicki
Publisher Comments
This is the first treatment in book form of the applications of the lower K- and L-groups (which are the components of the Grothendieck groups of modules and quadratic forms over polynomial extension rings) to the topology of manifolds such as Euclidean... (read more)

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Foundations of Topology: An Approach to Convenient Topology
Foundations of Topology: An Approach to Convenient Topology
by Gerhard Preuss
Publisher Comments
A new foundation of Topology, summarized under the name Convenient Topology, is considered such that several deficiencies of topological and uniform spaces are remedied. This does not mean that these spaces are superfluous. It means exactly that a better... (read more)

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