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.
