Topology for Computing (Cambridge Monographs on Applied and Computational Mathematics, Series Number 16) by Afra J. Zomorodian (PDF)

Description

Written by a computer scientist for computer scientists, this book teaches topology from a computational point of view, and shows how to solve real problems that have topological aspects involving 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. Algorithms and data structures are presented when appropriate.

User’s Reviews

Editorial Reviews: Review “In my knowledge, it is the first book covering these topics.” Numerical Algorithms”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 Book Description This book presents basic concepts from the emerging field of computational topology, now being used to solve problems in diverse fields. About the Author Afra J. Zomorodian is an assistant professor in the Department of Computer Science at Dartmouth College. He is a former Post-Doctoral Fellow in Bio-X and the Department of Computer Science at Stanford University, California and has been a researcher at the Max-Planck-Institut für Informatik, Saarbrücken. Using the material contained in this book, he has organized classes on computational topology at Stanford University, the MPI, and Dartmouth College. Read more

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐First I have to admit that I am an outsider regarding topology, but I am interested in this subject. I knew something about homotopy and topological defects in condensed matter physics, but computational topology is a whole lot difference because it deals with discrete data. I can assume I know nothing to start reading this book. Zomorodian introduced all necessary and essential concepts, including simplicial complexes and group theory, to bring us into the concept of homology, without going beyond what is enough. It is a good read.

⭐I will admit that this book is a little deep for me to appreciate fully but even so it is a fascinating look at applied topology.

⭐I recently ordered 10 topology textbooks to teach myself the discipline, and this one was by far the most lucid, concise, and useful. For practitioners and researchers alike in computational sciences, I strongly recommend, and am grateful to the author.

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