Topology category: 256 books

Cover of Handbook of Geometric Topology
by R.B. Sher, R.J. Daverman
Language: English
Release Date: December 20, 2001

Geometric Topology is a foundational component of modern mathematics, involving the study of spacial properties and invariants of familiar objects such as manifolds and complexes. This volume, which is intended both as an introduction to the subject and as a wide ranging resouce for those already...
Cover of A Short Course in Computational Geometry and Topology
by Herbert Edelsbrunner
Language: English
Release Date: April 28, 2014

This monograph presents a short course in computational geometry and topology. In the first part the book covers Voronoi diagrams and Delaunay triangulations, then it presents the theory of alpha complexes which play a crucial role in biology. The central part of the book is the homology theory and...
Cover of Topology for Analysis
by Albert Wilansky
Language: English
Release Date: January 18, 2013

Appropriate for both students and professionals, this volume starts with the first principles of topology and advances to general analysis. Three levels of examples and problems, ordered and numbered by degree of difficulty, illustrate important concepts. A 40-page appendix, featuring tables of theorems...
Cover of The Mereon Matrix

The Mereon Matrix

Everything Connected through (K)nothing

by Jytte Brender McNair, Lynnclaire Dennis, Louis H Kauffman
Language: English
Release Date: June 8, 2018

In this richly illustrated book, the contributors describe the Mereon Matrix, its dynamic geometry and topology. Through the definition of eleven First Principles, it offers a new perspective on dynamic, whole and sustainable systems that may serve as a template information model. This template has...
Cover of Descriptive Topology and Functional Analysis

Descriptive Topology and Functional Analysis

In Honour of Jerzy Kakol’s 60th Birthday

by
Language: English
Release Date: June 30, 2014

Descriptive topology and functional analysis, with extensive material demonstrating new connections between them, are the subject of the first section of this work. Applications to spaces of continuous functions, topological Abelian groups, linear topological equivalence and to the separable quotient...
Cover of The Universal Coefficient Theorem and Quantum Field Theory

The Universal Coefficient Theorem and Quantum Field Theory

A Topological Guide for the Duality Seeker

by Andrei-Tudor Patrascu
Language: English
Release Date: September 23, 2016

This thesis describes a new connection between algebraic geometry, topology, number theory and quantum field theory. It offers a pedagogical introduction to algebraic topology, allowing readers to rapidly develop basic skills, and it also presents original ideas to inspire new research in the quest...
Cover of Singularities and Foliations. Geometry, Topology and Applications
by
Language: English
Release Date: March 21, 2018

This proceedings book brings selected works from two conferences, the 2nd Brazil-Mexico Meeting on Singularity and the 3rd Northeastern Brazilian Meeting on Singularities, that were hold in Salvador, in July 2015. All contributions were carefully peer-reviewed and revised, and cover topics like Equisingularity,...
Cover of The Topology of Chaos

The Topology of Chaos

Alice in Stretch and Squeezeland

by Robert Gilmore, Marc Lefranc
Language: English
Release Date: September 5, 2012

A highly valued resource for those who wish to move from the introductory and preliminary understandings and the measurement of chaotic behavior to a more sophisticated and precise understanding of chaotic systems. The authors provide a deep understanding of the structure of strange attractors, how...
Cover of Metric Diffusion Along Foliations
by Szymon M. Walczak
Language: English
Release Date: May 16, 2017

Up-to-date research in metric diffusion along compact foliations is presented in this book. Beginning with fundamentals from the optimal transportation theory and the theory of foliations; this book moves on to cover Wasserstein distance, Kantorovich Duality Theorem, and the metrization of the weak...
Cover of Counterexamples in Topology
by Lynn Arthur Steen, J. Arthur Seebach
Language: English
Release Date: February 15, 2013

Over 140 examples, preceded by a succinct exposition of general topology and basic terminology. Each example treated as a whole. Over 25 Venn diagrams and charts summarize properties of the examples, while discussions of general methods of construction and change give readers insight into constructing...
Cover of A First Course in Topology

A First Course in Topology

An Introduction to Mathematical Thinking

by Robert A Conover
Language: English
Release Date: February 20, 2014

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. The logical presentation anticipates students'...
Cover of Morse Theory and Floer Homology
by Michèle Audin, Mihai Damian
Language: English
Release Date: November 29, 2013

This book is an introduction to modern methods of symplectic topology. It is devoted to explaining the solution of an important problem originating from classical mechanics: the 'Arnold conjecture', which asserts that the number of 1-periodic trajectories of a non-degenerate Hamiltonian system is...
Cover of Piecewise Linear Structures on Topological Manifolds
by Yuli Rudyak
Language: English
Release Date: December 28, 2015

The study of triangulations of topological spaces has always been at the root of geometric topology. Among the most studied triangulations are piecewise linear triangulations of high-dimensional topological manifolds. Their study culminated in the late 1960s–early 1970s in a complete classification...
Cover of Combinatorial and Toric Homotopy

Combinatorial and Toric Homotopy

Introductory Lectures

by Alastair Darby, Jelena Grbić, Zhi Lü;Jie Wu
Language: English
Release Date: October 20, 2017

This volume consists of introductory lectures on the topics in the new and rapidly developing area of toric homotopy theory, and its applications to the current research in configuration spaces and braids, as well as to more applicable mathematics such as fr-codes and robot motion planning. The...
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