Description
Condition
LIKE NEW: This book is in excellent, like-new condition. It was printed on acid-free paper.
Product Details
From the back cover: “In recent years, there has been a growing interest in applying homology to problems involving geometric data sets, whether obtained from physical measurements or generated through numerical simulations. This book presents a novel approach to homology that emphasizes the development of efficient algorithms for computation.
“As well as providing a highly accessible introduction to the mathematical theory, the authors describe a variety of potential applications of homology in fields such as digital image processing and nonlinear dynamics. The material is aimed at a broad audience of engineers, computer scientists, nonlinear scientists, and applied mathematicians.
“Mathematical prerequisites have been kept to a minimum, and there are numerous examples and exercises throughout the text.”
BRIEF CONTENTS
Part I. Homology
- Preview
- Cubical Homology
- Computing Homology Groups
- Chain Maps and Reduction Algorithms
- Preview of Maps
- Homology of Maps
- Computing Homology of Maps
Part II. Extensions
- Prospects in Digital Image Processing
- Homological Algebra
- Nonlinear Dynamics
- Homology of Topological Polyhedra
Part III. Tools from Topology and Algebra
- Topology
- Algebra
- Syntax of Algorithms
The book ends with References, Symbol Index, and Index.