Understanding concepts in computational topology is made more accessible through the insightful book, Computational Topology: An Introduction by Herbert Edelsbrunner and John Harer.
Published by the American Mathematical Society, this book is a resourceful guide that takes an innovative approach to topology, combining concepts of mathematics, data analysis, computer science, and engineering. The authors, Professors Herbert Edelsbrunner and John Harer, are distinguished experts in their fields, lending their insights and knowledge, making this book an authoritative reference for computational topology.
The 241 pages of the Computational Topology: An Introduction offer a finely balanced treatment of theoretical concepts applicable in various scientific and technologic fields. Geared for undergraduate students, researchers, and professionals, this groundwork book helps the reader understand the continuity and collaboration between the fields of computational geometry and algebraic topology.
In this informative book, the authors take the readers through mathematical fundamentals, leading up to an inclusive exposition of the uses of these complex mathematical concepts in the real-life computing world. The authors make a point of discussing the algorithms and data structures that have become the standard tools in computational topology.
Edelsbrunner and Harer handle complex topics such as homology and persistence with commendable succinctness and clarity. Interestingly, the book leaves the reader with an understanding of the correlation between data shapes, machine learning, and computational topology.
Exploring this critical resource will give you an unprecedented command of the subject and the ability to apply these principles in various computational problems. If you want to deepen your understanding of computational topology, grab your copy of Computational Topology: An Introduction today.
