Topology category: 256 books

Cover of Topology and Its Applications
by William F. Basener
Language: English
Release Date: June 12, 2013

Discover a unique and modern treatment of topology employing a cross-disciplinary approach Implemented recently to understand diverse topics, such as cell biology, superconductors, and robot motion, topology has been transformed from a theoretical field that highlights mathematical theory to...
Cover of The Infinite-Dimensional Topology of Function Spaces
by J. van Mill
Language: English
Release Date: May 24, 2002

In this book we study function spaces of low Borel complexity. Techniques from general topology, infinite-dimensional topology, functional analysis and descriptive set theory are primarily used for the study of these spaces. The mix of methods from several disciplines makes the subject particularly...
Cover of Topology with Applications

Topology with Applications

Topological Spaces via Near and Far

by Somashekhar A Naimpally, James F Peters
Language: English
Release Date: February 21, 2013

The principal aim of this book is to introduce topology and its many applications viewed within a framework that includes a consideration of compactness, completeness, continuity, filters, function spaces, grills, clusters and bunches, hyperspace topologies, initial and final structures, metric spaces,...
Cover of Understanding Topology

Understanding Topology

A Practical Introduction

by Shaun V. Ault
Language: English
Release Date: January 30, 2018

Topology—the branch of mathematics that studies the properties of spaces that remain unaffected by stretching and other distortions—can present significant challenges for undergraduate students of mathematics and the sciences. Understanding Topology aims to change that. The perfect introductory...
Cover of Applications of Contact Geometry and Topology in Physics
by Arkady L Kholodenko
Language: English
Release Date: May 3, 2013

Although contact geometry and topology is briefly discussed in V I Arnol'd's book “Mathematical Methods of Classical Mechanics ”(Springer-Verlag, 1989, 2nd edition), it still remains a domain of research in pure mathematics, e.g. see the recent monograph by H Geiges “An Introduction to Contact...
Cover of Fundamentals of Algebraic Topology
by Steven H. Weintraub
Language: English
Release Date: October 31, 2014

This rapid and concise presentation of the essential ideas and results of algebraic topology follows the axiomatic foundations pioneered by Eilenberg and Steenrod. The approach of the book is pragmatic: while most proofs are given, those that are particularly long or technical are omitted, and results...
Cover of Topology
by John G. Hocking, Gail S. Young
Language: English
Release Date: May 23, 2012

"As textbook and reference work, this is a valuable addition to the topological literature." — Mathematical ReviewsDesigned 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...
Cover of Introduction to Topology

Introduction to Topology

Second Edition

by Theodore W. Gamelin, Robert Everist Greene
Language: English
Release Date: April 22, 2013

One of the most important milestones in mathematics in the twentieth century was the development of topology as an independent field of study and the subsequent systematic application of topological ideas to other fields of mathematics. While there are many other works on introductory topology, this...
Cover of Topology

Topology

An Introduction

by Stefan Waldmann
Language: English
Release Date: August 5, 2014

This book provides a concise introduction to topology and is necessary for courses in differential geometry, functional analysis, algebraic topology, etc. Topology is a fundamental tool in most branches of pure mathematics and is also omnipresent in more applied parts of mathematics. Therefore students...
Cover of Basic Algebraic Topology and its Applications
by Mahima Ranjan Adhikari
Language: English
Release Date: September 16, 2016

This book provides an accessible introduction to algebraic topology, a field at the intersection of topology, geometry and algebra, together with its applications. Moreover, it covers several related topics that are in fact important in the overall scheme of algebraic topology. Comprising eighteen...
Cover of Convergence Foundations of Topology
by Szymon Dolecki, Frédéric Mynard
Language: English
Release Date: May 13, 2016

Solutions Manual for Free Download This textbook is an alternative to a classical introductory book in point-set topology. The approach, however, is radically different from the classical one. It is based on convergence rather than on open and closed sets. Convergence of filters is a...
Cover of Topology and Physics
by Chen Ning Yang, Mo-Lin Ge, Yang-Hui He
Language: English
Release Date: January 9, 2019

Since its birth in Poincaré's seminal 1894 'Analysis Situs', topology has become a cornerstone of mathematics. As with all beautiful mathematical concepts, topology inevitably — resonating with that Wignerian principle of the effectiveness of mathematics in the natural sciences — finds its prominent...
Cover of Undergraduate Topology

Undergraduate Topology

A Working Textbook

by Aisling McCluskey, Brian McMaster
Language: English
Release Date: July 24, 2014

This textbook offers an accessible, modern introduction at undergraduate level to an area known variously as general topology, point-set topology or analytic topology with a particular focus on helping students to build theory for themselves. It is the result of several years of the authors' combined...
Cover of Geometric Aspects of General Topology
by Katsuro Sakai
Language: English
Release Date: July 22, 2013

This book is designed for graduate students to acquire knowledge of dimension theory, ANR theory (theory of retracts), and related topics. These two theories are connected with various fields in geometric topology and in general topology as well. Hence, for students who wish to research subjects in...
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