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Author : Li Chen
Release : 2004
Genre : Geometry
Kind : eBook
Book Rating : 210/5 ( reviews)
Book Synopsis Discrete Surfaces and Manifolds by : Li Chen
Download or read book Discrete Surfaces and Manifolds written by Li Chen. This book was released on 2004. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Li M. Chen
Release : 2014-12-12
Genre : Computers
Kind : eBook
Book Rating : 999/5 ( reviews)
Book Synopsis Digital and Discrete Geometry by : Li M. Chen
Download or read book Digital and Discrete Geometry written by Li M. Chen. This book was released on 2014-12-12. Available in PDF, EPUB and Kindle. Book excerpt: This book provides comprehensive coverage of the modern methods for geometric problems in the computing sciences. It also covers concurrent topics in data sciences including geometric processing, manifold learning, Google search, cloud data, and R-tree for wireless networks and BigData. The author investigates digital geometry and its related constructive methods in discrete geometry, offering detailed methods and algorithms. The book is divided into five sections: basic geometry; digital curves, surfaces and manifolds; discretely represented objects; geometric computation and processing; and advanced topics. Chapters especially focus on the applications of these methods to other types of geometry, algebraic topology, image processing, computer vision and computer graphics. Digital and Discrete Geometry: Theory and Algorithms targets researchers and professionals working in digital image processing analysis, medical imaging (such as CT and MRI) and informatics, computer graphics, computer vision, biometrics, and information theory. Advanced-level students in electrical engineering, mathematics, and computer science will also find this book useful as a secondary text book or reference. Praise for this book: This book does present a large collection of important concepts, of mathematical, geometrical, or algorithmical nature, that are frequently used in computer graphics and image processing. These concepts range from graphs through manifolds to homology. Of particular value are the sections dealing with discrete versions of classic continuous notions. The reader finds compact definitions and concise explanations that often appeal to intuition, avoiding finer, but then necessarily more complicated, arguments... As a first introduction, or as a reference for professionals working in computer graphics or image processing, this book should be of considerable value." - Prof. Dr. Rolf Klein, University of Bonn.
Author : Michael Kapovich
Release : 2009-08-04
Genre : Mathematics
Kind : eBook
Book Rating : 131/5 ( reviews)
Book Synopsis Hyperbolic Manifolds and Discrete Groups by : Michael Kapovich
Download or read book Hyperbolic Manifolds and Discrete Groups written by Michael Kapovich. This book was released on 2009-08-04. Available in PDF, EPUB and Kindle. Book excerpt: Hyperbolic Manifolds and Discrete Groups is at the crossroads of several branches of mathematics: hyperbolic geometry, discrete groups, 3-dimensional topology, geometric group theory, and complex analysis. The main focus throughout the text is on the "Big Monster," i.e., on Thurston’s hyperbolization theorem, which has not only completely changes the landscape of 3-dimensinal topology and Kleinian group theory but is one of the central results of 3-dimensional topology. The book is fairly self-contained, replete with beautiful illustrations, a rich set of examples of key concepts, numerous exercises, and an extensive bibliography and index. It should serve as an ideal graduate course/seminar text or as a comprehensive reference.
Author : Stephen Lovett
Release : 2019-12-16
Genre : Mathematics
Kind : eBook
Book Rating : 308/5 ( reviews)
Book Synopsis Differential Geometry of Manifolds by : Stephen Lovett
Download or read book Differential Geometry of Manifolds written by Stephen Lovett. This book was released on 2019-12-16. Available in PDF, EPUB and Kindle. Book excerpt: Differential Geometry of Manifolds, Second Edition presents the extension of differential geometry from curves and surfaces to manifolds in general. The book provides a broad introduction to the field of differentiable and Riemannian manifolds, tying together classical and modern formulations. It introduces manifolds in a both streamlined and mathematically rigorous way while keeping a view toward applications, particularly in physics. The author takes a practical approach, containing extensive exercises and focusing on applications, including the Hamiltonian formulations of mechanics, electromagnetism, string theory. The Second Edition of this successful textbook offers several notable points of revision. New to the Second Edition: New problems have been added and the level of challenge has been changed to the exercises Each section corresponds to a 60-minute lecture period, making it more user-friendly for lecturers Includes new sections which provide more comprehensive coverage of topics Features a new chapter on Multilinear Algebra
Author : Hans-Christian Hege
Release : 2013-11-11
Genre : Psychology
Kind : eBook
Book Rating : 052/5 ( reviews)
Book Synopsis Visualization and Mathematics III by : Hans-Christian Hege
Download or read book Visualization and Mathematics III written by Hans-Christian Hege. This book was released on 2013-11-11. Available in PDF, EPUB and Kindle. Book excerpt: A collection of state-of-the-art presentations on visualization problems in mathematics, fundamental mathematical research in computer graphics, and software frameworks for the application of visualization to real-world problems. Contributions have been written by leading experts and peer-refereed by an international editorial team. The book grew out of the third international workshop ‘Visualization and Mathematics’, May 22-25, 2002 in Berlin. The variety of topics covered makes the book ideal for researcher, lecturers, and practitioners.
