Topology and Its Applications

Topology and Its Applications
Author :
Publisher : John Wiley & Sons
Total Pages : 295
Release :
ISBN-10 : 9781118626221
ISBN-13 : 1118626222
Rating : 4/5 (222 Downloads)

Book Synopsis Topology and Its Applications by : William F. Basener

Download or read book Topology and Its Applications written by William F. Basener and published by John Wiley & Sons. This book was released on 2013-06-12 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 a subject that plays a growing role in nearly all fields of scientific investigation. Moving from the concrete to the abstract, Topology and Its Applications displays both the beauty and utility of topology, first presenting the essentials of topology followed by its emerging role within the new frontiers in research. Filling a gap between the teaching of topology and its modern uses in real-world phenomena, Topology and Its Applications is organized around the mathematical theory of topology, a framework of rigorous theorems, and clear, elegant proofs. This book is the first of its kind to present applications in computer graphics, economics, dynamical systems, condensed matter physics, biology, robotics, chemistry, cosmology, material science, computational topology, and population modeling, as well as other areas of science and engineering. Many of these applications are presented in optional sections, allowing an instructor to customize the presentation. The author presents a diversity of topological areas, including point-set topology, geometric topology, differential topology, and algebraic/combinatorial topology. Topics within these areas include: Open sets Compactness Homotopy Surface classification Index theory on surfaces Manifolds and complexes Topological groups The fundamental group and homology Special "core intuition" segments throughout the book briefly explain the basic intuition essential to understanding several topics. A generous number of figures and examples, many of which come from applications such as liquid crystals, space probe data, and computer graphics, are all available from the publisher's Web site.


Topology and Its Applications Related Books

Topology and Its Applications
Language: en
Pages: 295
Authors: William F. Basener
Categories: Mathematics
Type: BOOK - Published: 2013-06-12 - Publisher: John Wiley & Sons

DOWNLOAD EBOOK

Discover a unique and modern treatment of topology employing a cross-disciplinary approach Implemented recently to understand diverse topics, such as cell biolo
Many Valued Topology and its Applications
Language: en
Pages: 377
Authors: Ulrich Höhle
Categories: Mathematics
Type: BOOK - Published: 2011-06-28 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

The 20th Century brought the rise of General Topology. It arose from the effort to establish a solid base for Analysis and it is intimately related to the succe
Open Problems in Topology
Language: en
Pages: 716
Authors: J. van Mill
Categories: Mathematics
Type: BOOK - Published: 1990 - Publisher: North Holland

DOWNLOAD EBOOK

From the Introduction: This volume grew from a discussion by the editors on the difficulty of finding good thesis problems for graduate students in topology. Al
Essentials of Topology with Applications
Language: en
Pages: 422
Authors: Steven G. Krantz
Categories: Mathematics
Type: BOOK - Published: 2009-07-28 - Publisher: CRC Press

DOWNLOAD EBOOK

Brings Readers Up to Speed in This Important and Rapidly Growing AreaSupported by many examples in mathematics, physics, economics, engineering, and other disci
Topology with Applications
Language: en
Pages: 294
Authors: Somashekhar A. Naimpally
Categories: Mathematics
Type: BOOK - Published: 2013 - Publisher: World Scientific

DOWNLOAD EBOOK

The principal aim of this book is to introduce topology and its many applications viewed within a framework that includes a consideration of compactness, comple