Buch, Englisch, Band 157, 482 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 1540 g
Buch, Englisch, Band 157, 482 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 1540 g
Reihe: Applied Mathematical Sciences
ISBN: 978-1-4419-2354-7
Verlag: Springer
Homology is a powerful tool used by mathematicians to study the properties of spaces and maps that are insensitive to small perturbations. This book uses a computer to develop a combinatorial computational approach to the subject. The core of the book deals with homology theory and its computation. Following this is a section containing extensions to further developments in algebraic topology, applications to computational dynamics, and applications to image processing. Included are exercises and software that can be used to compute homology groups and maps. The book will appeal to researchers and graduate students in mathematics, computer science, engineering, and nonlinear dynamics.
Zielgruppe
Graduate
Autoren/Hrsg.
Fachgebiete
- Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
- Mathematik | Informatik Mathematik Algebra Homologische Algebra
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
- Mathematik | Informatik Mathematik Topologie Algebraische Topologie
Weitere Infos & Material
Homology.- Preview.- Cubical Homology.- Computing Homology Groups.- Chain Maps and Reduction Algorithms.- Preview of Maps.- Homology of Maps.- Computing Homology of Maps.- Extensions.- Prospects in Digital Image Processing.- Homological Algebra.- Nonlinear Dynamics.- Homology of Topological Polyhedra.- Tools from Topology and Algebra.- Topology.- Algebra.- Syntax of Algorithms.
