附註:Includes bibliographical references (pages 235-239) and index.
Cover; Half-title; Series-title; Title; Copyright; Dedication; Contents; Preface; Acknowledgments; 1 Introduction; 2 Spaces and Filtrations; 3 Group Theory; 4 Homology; 5 Morse Theory; 6 New Results; 7 The Persistence Algorithms; 8 Topological Simplification; 9 The Morse-Smale Complex Algorithm; 10 The Linking Number Algorithm; 11 Software; 12 Experiments; 13 Applications; Bibliography; Index.
摘要:This concise, self-contained introduction to topology and Morse theory from a computational point of view shows how to solve real problems that have topological aspects using computers. Applications include computer graphics, robotics, structural biology, and chemistry.
