"In my knowledge, it is the first book covering these topics."
"This authoritative, well-written, and highly focused book will explain to the reader the considerable power of topology. It is an eye-opener that I highly recommend."
George Hacken, reviews.com
Written by a computer scientist for computer scientists, this book teaches topology from a computational point of view, seeking to solve real problems that have topological aspects using computers. Such problems arise in many areas, such as computer graphics, robotics, structural biology, and chemistry. The author starts from the basics of topology, assuming no prior exposure to the subject, and moves rapidly up to recent advances in the area, including topological persistence and hierarchical Morse complexes, presenting algorithms and data structures when appropriate.