Computer algebra science engineering (18 Ergebnisse)

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Taschenbuch. Zustand: Neu. Applications of Geometric Algebra in Computer Science and Engineering | Leo Dorst (u. a.) | Taschenbuch | xxv | Englisch | 2012 | Birkhäuser | EAN 9781461266068 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]h…artmann[at]springer[dot]com | Anbieter: preigu.

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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Geometric algebra has established itself as a powerful and valuable mathematical tool for solving problems in computer science, engineering, physics, and mathematics. The articles in this volume, written by experts in various fields, reflect an inter…disciplinary approach to the subject, and highlight a range of techniques and applications. Relevant ideas are introduced in a self-contained manner and only a knowledge of linear algebra and calculus is assumed. Features and Topics: \* The mathematical foundations of geometric algebra are explored \* Applications in computational geometry include models of reflection and ray-tracing and a new and concise characterization of the crystallographic groups \* Applications in engineering include robotics, image geometry, control-pose estimation, inverse kinematics and dynamics, control and visual navigation \* Applications in physics include rigid-body dynamics, elasticity, and electromagnetism \* Chapters dedicated to quantum information theory dealing with multi- particle entanglement, MRI, and relativistic generalizations Practitioners, professionals, and researchers working in computer science, engineering, physics, and mathematics will find a wide range of useful applications in this state-of-the-art survey and reference book. Additionally, advanced graduate students interested in geometric algebra will find the most current applications and methods discussed.

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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Geometric algebra has established itself as a powerful and valuable mathematical tool for solving problems in computer science, engineering, physics, and mathematics. The articles in this volume, written by experts in various fields, reflect an interdiscipl…inary approach to the subject, and highlight a range of techniques and applications. Relevant ideas are introduced in a self-contained manner and only a knowledge of linear algebra and calculus is assumed. Features and Topics: \* The mathematical foundations of geometric algebra are explored \* Applications in computational geometry include models of reflection and ray-tracing and a new and concise characterization of the crystallographic groups \* Applications in engineering include robotics, image geometry, control-pose estimation, inverse kinematics and dynamics, control and visual navigation \* Applications in physics include rigid-body dynamics, elasticity, and electromagnetism \* Chapters dedicated to quantum information theory dealing with multi- particle entanglement, MRI, and relativistic generalizations Practitioners, professionals, and researchers working in computer science, engineering, physics, and mathematics will find a wide range of useful applications in this state-of-the-art survey and reference book. Additionally, advanced graduate students interested in geometric algebra will find the most current applications and methods discussed.

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Zustand: New. The articles in this volume reflect an interdisciplinary approach to the subject of geometric algebra in computer science, engineering, physics and mathematics. A range of techniques and applications are highlighted and relevant areas are introduced in a self-contained manner. Editor(s): Dorst, Leo; Doran, Chris; L…asenby, Joan. Num Pages: 478 pages, biography. BIC Classification: PBF; PBMW; PDE; TBJ. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 234 x 156 x 28. Weight in Grams: 885. . 2002. Hardback. . . . . Books ship from the US and Ireland.

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Zustand: Sehr gut. Zustand: Sehr gut | Seiten: 548 | Sprache: Englisch | Produktart: Bücher | This book presents new results on applications of geometric algebra. The time when researchers and engineers were starting to realize the potential of quaternions for - plications in electrical, mechanic, and control engineering passed…a long time ago. Since the publication of Space-Time Algebra by David Hestenes (1966) and Clifford Algebra to Geometric Calculus: A Uni?ed Language for Mathematics and Physics by David Hestenes and Garret Sobczyk (1984), consistent progress in the app- cations of geometric algebra has taken place. Particularly due to the great dev- opments in computer technology and the Internet, researchers have proposed new ideas and algorithms to tackle a variety of problems in the areas of computer science and engineering using the powerful language of geometric algebra. In this process, pioneer groups started the conference series entitled ¿Applications of Geometric Algebra in Computer Science and Engineering¿ (AGACSE) in order to promote the research activity in the domain of the application of geometric algebra. The ?rst conference, AGACSE¿1999, organized by Eduardo Bayro-Corrochano and Garret Sobczyk, took place in Ixtapa-Zihuatanejo, Mexico, in July 1999. The contri- tions were published in Geometric Algebra with Applications in Science and En- neering, Birkhäuser, 2001. The second conference, ACACSE¿2001, was held in the Engineering Department of the Cambridge University on 9¿13 July 2001 and was organizedbyLeoDorst,ChrisDoran,andJoanLasenby. Thebestconferencecont- butions appeared as a book entitled Applications of Geometric Algebra in Computer Science and Engineering, Birkhäuser, 2002. The third conference, AGACSE¿2008, took place in August 2008 in Grimma, Leipzig, Germany.

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Taschenbuch. Zustand: Neu. Geometric Algebra Computing | in Engineering and Computer Science | Eduardo Bayro-Corrochano (u. a.) | Taschenbuch | xxii | Englisch | 2014 | Springer | EAN 9781447157687 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot…]com | Anbieter: preigu.

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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Geometric algebra provides a rich and general mathematical framework for the development of solutions, concepts and computer algorithms without losing geometric insight into the problem in question. Many current mathematical subjects can be treated in an un…ified manner without abandoning the mathematical system of geometric algebra, such as multilinear algebra, projective and affine geometry, calculus on manifolds, Riemann geometry, the representation of Lie algebras and Lie groups using bivector algebras, and conformal geometry.Geometric Algebra Computing in Engineering and Computer Science presents contributions from an international selection of experts in the field. This useful text/reference offers new insights and solutions for the development of theorems, algorithms and advanced methods for real-time applications across a range of disciplines. The book also provides an introduction to advanced screw theory and conformal geometry. Written in an accessible style, the discussion of all applications is enhanced by the inclusion of numerous examples, figures and experimental analysis.Topics and features:Provides a thorough discussion of several tasks for image processing, pattern recognition, computer vision, robotics and computer graphics using the geometric algebra frameworkIntroduces nonspecialists to screw theory in the geometric algebra framework, offering a tutorial on conformal geometric algebra and an overview of recent applications of geometric algebraExplores new developments in the domain of Clifford Fourier Transforms and Clifford Wavelet Transform, including novel applications of Clifford Fourier transforms for 3D visualization and colour image spectral analysisPresents a detailed study of fluid flow problems with quaternionic analysisExamines new algorithms for geometric neuralcomputing and cognitive systemsAnalyzes computer software packages for extensive calculations in geometric algebra, investigating the algorithmic complexity of key geometric operations and how the program code can be optimized for real-time computationsThe book is an essential resource for computer scientists, applied physicists, AI researchers and mechanical and electrical engineers. It will also be of value to graduate students and researchers interested in a modern language for geometric computing.Prof. Dr. Eng. Eduardo Bayro-Corrochano is a Full Professor of Geometric Computing at Cinvestav, Mexico. He is the author of the Springer titles Geometric Computing for Perception Action Systems, Handbook of Geometric Computing, and Geometric Computing for Wavelet Transforms, Robot Vision, Learning, Control and Action.Prof. Dr. Gerik Scheuermann is a FullProfessor at the University of Leipzig, Germany. He is the author of the Springer title Topology-Based Methods in Visualization II.

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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Geometric algebra provides a rich and general mathematical framework for the development of solutions, concepts and computer algorithms without losing geometric insight into the problem in question. Many current mathematical subjects can be treated i…n an unified manner without abandoning the mathematical system of geometric algebra, such as multilinear algebra, projective and affine geometry, calculus on manifolds, Riemann geometry, the representation of Lie algebras and Lie groups using bivector algebras, and conformal geometry.Geometric Algebra Computing in Engineering and Computer Science presents contributions from an international selection of experts in the field. This useful text/reference offers new insights and solutions for the development of theorems, algorithms and advanced methods for real-time applications across a range of disciplines. The book also provides an introduction to advanced screw theory and conformal geometry. Written in an accessible style, the discussion of all applications is enhanced by the inclusion of numerous examples, figures and experimental analysis.Topics and features:Provides a thorough discussion of several tasks for image processing, pattern recognition, computer vision, robotics and computer graphics using the geometric algebra frameworkIntroduces nonspecialists to screw theory in the geometric algebra framework, offering a tutorial on conformal geometric algebra and an overview of recent applications of geometric algebraExplores new developments in the domain of Clifford Fourier Transforms and Clifford Wavelet Transform, including novel applications of Clifford Fourier transforms for 3D visualization and colour image spectral analysisPresents a detailed study of fluid flow problems with quaternionic analysisExamines new algorithms for geometric neuralcomputing and cognitive systemsAnalyzes computer software packages for extensive calculations in geometric algebra, investigating the algorithmic complexity of key geometric operations and how the program code can be optimized for real-time computationsThe book is an essential resource for computer scientists, applied physicists, AI researchers and mechanical and electrical engineers. It will also be of value to graduate students and researchers interested in a modern language for geometric computing.Prof. Dr. Eng. Eduardo Bayro-Corrochano is a Full Professor of Geometric Computing at Cinvestav, Mexico. He is the author of the Springer titles Geometric Computing for Perception Action Systems, Handbook of Geometric Computing, and Geometric Computing for Wavelet Transforms, Robot Vision, Learning, Control and Action.Prof. Dr. Gerik Scheuermann is a FullProfessor at the University of Leipzig, Germany. He is the author of the Springer title Topology-Based Methods in Visualization II.

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