Tag: Homology

January 30, 2024

Topology II Homotopy and Homology. Classical Manifolds

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Free Download D.B. Fuchs, O.Ya. Viro, V.A. Rokhlin, "Topology II: Homotopy and Homology. Classical Manifolds"
English | 2004 | ISBN: 3642080847 | PDF | pages: 264 | 9.8 mb
Two top experts in topology, O.Ya. Viro and D.B. Fuchs, give an up-to-date account of research in central areas of topology and the theory of Lie groups. They cover homotopy, homology and cohomology as well as the theory of manifolds, Lie groups, Grassmanians and low-dimensional manifolds. Their book will be used by graduate students and researchers in mathematics and mathematical physics.

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July 23, 2023

Computational Homology

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Free Download Computational Homology by Tomasz Kaczynski , Konstantin Mischaikow , Marian Mrozek
English | PDF | 2004 | 487 Pages | ISBN : 0387408533 | 39.1 MB
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.

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