#### Author:

William F. Basener

#### Language:

#### Category:

#### Subcategory:

#### ePub size:

1904 kb

#### Other formats:

lrf rtf azw txt

#### Rating:

4.4

#### Publisher:

Wiley-Interscience; 1 edition (November 3, 2006)

#### Pages:

384

#### ISBN:

0471687553

# Topology and Its Applications (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts) e-book

#### by William F. Basener

CHOICE, August 2007). a celebration of topology and its many applications.

CHOICE, August 2007). I enjoyed reading it and believe that it would be an interesting textbook from which to learn. 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.

Topology and Its Applications. Download Product Flyer Pure and Applied Mathematics: A Wiley Series of Texts"" Monographs and Tracts. Download Product Flyer. WILLIAM F. BASENER, PhD, is an Assistant Professor in the Department of Mathematics and Statistics at Rochester Institute of Technology in Rochester, New York. He received his PhD in mathematics in 2001 from Boston University. Dr. Basener is the recipient of numerous teaching awards. Pure and Applied Mathematics: A Wiley Series of Texts"" Monographs and Tracts.

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 is a great analysis book as others have discussed. The print looks like a cheap photocopy of an original manuscript. Or even a copy of a copy. It is outrageous that they can charge so much for such poor quality work.

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Due to its widespread practical applications to image database management, semantic image retrieval has received a lot of attention in past decades. in/books?id hn8y3dCP2c8C. 4. Bellman RE (1961) Adaptive control processes – a guided tour.

Pure and applied mathematics. A Wiley-Interscience Series of Texts, Monograph, and Tracts. Wiley also publishes its books in a variety of electronic formats. A complete list of the titles in this series appears at the end of this volume. Modern algebra with applications. A Wiley Series of Texts, Monographs, and Tracts. Wiley also publishes its books in a variety of electronic formats

Pure and applied mathematics. A complete list of the titles in this series appears at the end ofthis volume. For more information about Wiley products, visit our web site at ww. iley.

Using a variety of theorems to tie these seemingly disparate topics together, the author demonstrates the essential unity of mathematics.

**Discover a unique and modern treatment of topology employing across-disciplinary approach**

Implemented recently to understand diverse topics, such as cellbiology, superconductors, and robot motion, topology has beentransformed from a theoretical field that highlights mathematicaltheory to a subject that plays a growing role in nearly all fieldsof scientific investigation. Moving from the concrete to theabstract, Topology and Its Applications displays both the beautyand utility of topology, first presenting the essentials oftopology followed by its emerging role within the new frontiers inresearch.

Filling a gap between the teaching of topology and its modernuses in real-world phenomena, Topology and Its Applications isorganized around the mathematical theory of topology, a frameworkof rigorous theorems, and clear, elegant proofs.

This book is the first of its kind to present applications incomputer graphics, economics, dynamical systems, condensed matterphysics, biology, robotics, chemistry, cosmology, material science,computational topology, and population modeling, as well as otherareas of science and engineering. Many of these applications arepresented in optional sections, allowing an instructor to customizethe presentation.

The author presents a diversity of topological areas, includingpoint-set topology, geometric topology, differential topology, andalgebraic/combinatorial topology. Topics within these areasinclude:

Open setsCompactnessHomotopySurface classificationIndex theory on surfacesManifolds and complexesTopological groupsThe fundamental group and homologySpecial "core intuition" segments throughout the book brieflyexplain the basic intuition essential to understanding severaltopics. A generous number of figures and examples, many of whichcome from applications such as liquid crystals, space probe data,and computer graphics, are all available from the publisher's Website.