A Short Course In Computational Geometry And Topology (Pb 2014)

Book Details

• Author: Herbert Edelsbrunner

• Publisher: Springer

• Language: English

• Edition: 2014

• ISBN: 9783319059563

• Pages: 110

• Cover: Paperback

• Dimensions:

  • 9.3 x 6.1 x 0.3 inches

About The Book

Herbert Edelsbrunner's monograph on computational geometry and topology offers a succinct yet comprehensive exploration of key concepts in these fields. The book serves as a short course, focusing on the essential theories and their applications across disciplines such as mathematics, biology, neuroscience, and computer science.

Key features of the book include:

• Voronoi Diagrams and Delaunay Triangulations: The first section introduces these fundamental topics, providing essential tools for computational geometry.

• Alpha Complexes: The book delves into the theory of alpha complexes, an important concept in computational topology, particularly for biological applications.

• Homology Theory: The central focus of the book is on homology theory and its computation, including the critical topic of persistence theory, which is vital for applications like shape reconstruction.

• Illustrations: The book is enriched with 4 black-and-white illustrations and 60 color illustrations, aiding visual understanding of complex topics.

• Target Audience: Ideal for researchers and practitioners in mathematics, biology, neuroscience, and computer science, as well as graduate students in these fields.

This compact, 110-page book provides an excellent introduction to computational geometry and topology, equipping readers with the foundational knowledge needed for further study or application in various scientific fields.