A New Approach To Differential Geometry Using Clifford S Geometric Algebra
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A New Approach To Differential Geometry Using Clifford S Geometric Algebra
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Author : John Snygg
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-12-09
A New Approach To Differential Geometry Using Clifford S Geometric Algebra written by John Snygg and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-09 with Mathematics categories.
Differential geometry is the study of the curvature and calculus of curves and surfaces. A New Approach to Differential Geometry using Clifford's Geometric Algebra simplifies the discussion to an accessible level of differential geometry by introducing Clifford algebra. This presentation is relevant because Clifford algebra is an effective tool for dealing with the rotations intrinsic to the study of curved space. Complete with chapter-by-chapter exercises, an overview of general relativity, and brief biographies of historical figures, this comprehensive textbook presents a valuable introduction to differential geometry. It will serve as a useful resource for upper-level undergraduates, beginning-level graduate students, and researchers in the algebra and physics communities.
A New Approach To Differential Geometry Using Clifford S Geometric Algebra
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Author :
language : en
Publisher:
Release Date : 2011-12-01
A New Approach To Differential Geometry Using Clifford S Geometric Algebra written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-01 with categories.
A New Approach To Differential Geometry Using Clifford S Geometric Algebra
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Author : John Snygg
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-12-08
A New Approach To Differential Geometry Using Clifford S Geometric Algebra written by John Snygg and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-08 with Mathematics categories.
Differential geometry is the study of the curvature and calculus of curves and surfaces. A New Approach to Differential Geometry using Clifford's Geometric Algebra simplifies the discussion to an accessible level of differential geometry by introducing Clifford algebra. This presentation is relevant because Clifford algebra is an effective tool for dealing with the rotations intrinsic to the study of curved space. Complete with chapter-by-chapter exercises, an overview of general relativity, and brief biographies of historical figures, this comprehensive textbook presents a valuable introduction to differential geometry. It will serve as a useful resource for upper-level undergraduates, beginning-level graduate students, and researchers in the algebra and physics communities.
Real Spinorial Groups
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Author : Sebastià Xambó-Descamps
language : en
Publisher: Springer
Release Date : 2018-11-22
Real Spinorial Groups written by Sebastià Xambó-Descamps and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-22 with Mathematics categories.
This book explores the Lipschitz spinorial groups (versor, pinor, spinor and rotor groups) of a real non-degenerate orthogonal geometry (or orthogonal geometry, for short) and how they relate to the group of isometries of that geometry. After a concise mathematical introduction, it offers an axiomatic presentation of the geometric algebra of an orthogonal geometry. Once it has established the language of geometric algebra (linear grading of the algebra; geometric, exterior and interior products; involutions), it defines the spinorial groups, demonstrates their relation to the isometry groups, and illustrates their suppleness (geometric covariance) with a variety of examples. Lastly, the book provides pointers to major applications, an extensive bibliography and an alphabetic index. Combining the characteristics of a self-contained research monograph and a state-of-the-art survey, this book is a valuable foundation reference resource on applications for both undergraduate and graduate students.
Topological And Statistical Methods For Complex Data
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Author : Janine Bennett
language : en
Publisher: Springer
Release Date : 2014-11-19
Topological And Statistical Methods For Complex Data written by Janine Bennett and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-19 with Mathematics categories.
This book contains papers presented at the Workshop on the Analysis of Large-scale, High-Dimensional, and Multi-Variate Data Using Topology and Statistics, held in Le Barp, France, June 2013. It features the work of some of the most prominent and recognized leaders in the field who examine challenges as well as detail solutions to the analysis of extreme scale data. The book presents new methods that leverage the mutual strengths of both topological and statistical techniques to support the management, analysis, and visualization of complex data. It covers both theory and application and provides readers with an overview of important key concepts and the latest research trends. Coverage in the book includes multi-variate and/or high-dimensional analysis techniques, feature-based statistical methods, combinatorial algorithms, scalable statistics algorithms, scalar and vector field topology, and multi-scale representations. In addition, the book details algorithms that are broadly applicable and can be used by application scientists to glean insight from a wide range of complex data sets.
The Renaissance Of General Relativity In Context
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Author : Alexander S. Blum
language : en
Publisher: Springer Nature
Release Date : 2020-11-12
The Renaissance Of General Relativity In Context written by Alexander S. Blum and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-12 with Mathematics categories.
This contributed volume explores the renaissance of general relativity after World War II, when it transformed from a marginal theory into a cornerstone of modern physics. Chapters explore key historical processes related to the theory of general relativity, in addition to presenting a thorough treatment of the relevant science behind these episodes. A broad historiographical framework is introduced first, thus providing the broad context in which the given computational approaches and case studies occurred. Written by an international and interdisciplinary group of expert authors, these chapters will bring readers to a more complete understanding of Einstein’s theory. Specific topics include: Social and citation networks The Fock-Infeld dispute Wheeler’s turn to gravitation theory The position of general relativity in theories of fundamental interactions The pursuit of a quantum theory of gravity The emergence of dark matter in relation to cosmological models Institutional frameworks for gravitational wave search in Europe The Renaissance of General Relativity in Context is ideal for historians, philosophers, and sociologists of science. Students and researchers in physics will also be interested in the topics explored.
A Student S Guide To General Relativity
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Author : Norman Gray
language : en
Publisher: Cambridge University Press
Release Date : 2019-01-03
A Student S Guide To General Relativity written by Norman Gray and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-03 with Science categories.
Vectors, tensors and functions -- Manifolds, vectors and differentiation -- Energy, momentum and Einstein's equations
A Crack In Everything
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Author : Marcus Chown
language : en
Publisher: Bloomsbury Publishing
Release Date : 2024-06-06
A Crack In Everything written by Marcus Chown and has been published by Bloomsbury Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-06 with Science categories.
What is space? What is time? Where did the universe come from? The answers to mankind's most enduring questions may lie in science's greatest enigma: black holes. A black hole is a region of space where gravity is so strong that nothing, not even light, can escape. This can occur when a star approaches the end of its life. Unable to generate enough heat to maintain its outer layers, it shrinks catastrophically down to an infinitely dense point. When this phenomenon was first proposed in 1916, it defied scientific understanding so much that Albert Einstein dismissed it as too ridiculous to be true. But scientists have since proven otherwise. In 1971, Paul Murdin and Louise Webster discovered the first black hole: Cygnus X-1. Later, in the 1990s, astronomers using NASA's Hubble Space Telescope found that not only do black holes exist, supermassive black holes lie at the heart of almost every galaxy, including our own. It would take another three decades to confirm this phenomenon. On 10 April 2019, a team of astronomers made history by producing the first image of a black hole. A Crack in Everything is the story of how black holes came in from the cold and took cosmic centre stage. As a journalist, Marcus Chown interviews many of the scientists who made the key discoveries, and, as a former physicist, he translates the most esoteric of science into everyday language. The result is a uniquely engaging page-turner that tells one of the great untold stories in modern science.
Advances In Computer Graphics
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Author : Marina Gavrilova
language : en
Publisher: Springer
Release Date : 2019-06-11
Advances In Computer Graphics written by Marina Gavrilova and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-11 with Computers categories.
This book constitutes the refereed proceedings of the 36th Computer Graphics International Conference, CGI 2019, held in Calgary, AB, Canada, in June 2019. The 30 revised full papers presented together with 28 short papers were carefully reviewed and selected from 231 submissions. The papers address topics such as: 3D reconstruction and rendering, virtual reality and augmented reality, computer animation, geometric modelling, geometric computing, shape and surface modelling, visual analytics, image processing, pattern recognition, motion planning, gait and activity biometric recognition, machine learning for graphics and applications in security, smart electronics, autonomous navigation systems, robotics, geographical information systems, and medicine and art.
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2004
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.