Recent Topics On Topology From Classical To Modern Applications

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Recent Topics on Topology - From Classical to Modern Applications

Author: Paul Bracken
language: en
Publisher: BoD – Books on Demand
Release Date: 2024-11-27
Topology plays a fundamental role in many branches of mathematics and science. In recent years, there has been a resurgence of interest in physics, particularly in condensed matter physics. This book provides an accessible yet rigorous overview of current research in topology, making it an invaluable resource for mathematicians, physicists, and researchers in related fields.
Variational Problems in Topology

Many of the modern variational problems in topology arise in different but overlapping fields of scientific study: mechanics, physics and mathematics. In this work, Professor Fomenko offers a concise and clean explanation of some of these problems (both solved and unsolved), using current methods and analytical topology. The author's skillful exposition gives an unusual motivation to the theory expounded, and his work is recommended reading for specialists and nonspecialists alike, involved in the fields of physics and mathematics at both undergraduate and graduate levels.
Cubical Homotopy Theory

Author: Brian A. Munson
language: en
Publisher: Cambridge University Press
Release Date: 2015-10-06
A modern, example-driven introduction to cubical diagrams and related topics such as homotopy limits and cosimplicial spaces.