Geometric Algebra with Applications in Engineering - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometric Algebra with Applications in Engineering write by Christian Perwass. This book was released on 2009-02-11. Geometric Algebra with Applications in Engineering available in PDF, EPUB and Kindle. The application of geometric algebra to the engineering sciences is a young, active subject of research. The promise of this field is that the mathematical structure of geometric algebra together with its descriptive power will result in intuitive and more robust algorithms. This book examines all aspects essential for a successful application of geometric algebra: the theoretical foundations, the representation of geometric constraints, and the numerical estimation from uncertain data. Formally, the book consists of two parts: theoretical foundations and applications. The first part includes chapters on random variables in geometric algebra, linear estimation methods that incorporate the uncertainty of algebraic elements, and the representation of geometry in Euclidean, projective, conformal and conic space. The second part is dedicated to applications of geometric algebra, which include uncertain geometry and transformations, a generalized camera model, and pose estimation. Graduate students, scientists, researchers and practitioners will benefit from this book. The examples given in the text are mostly recent research results, so practitioners can see how to apply geometric algebra to real tasks, while researchers note starting points for future investigations. Students will profit from the detailed introduction to geometric algebra, while the text is supported by the author's visualization software, CLUCalc, freely available online, and a website that includes downloadable exercises, slides and tutorials.
Clifford (geometric) Algebras with Applications to Physics, Mathematics, and Engineering
Clifford (geometric) Algebras with Applications to Physics, Mathematics, and Engineering - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Clifford (geometric) Algebras with Applications to Physics, Mathematics, and Engineering write by William Eric Baylis. This book was released on 1996. Clifford (geometric) Algebras with Applications to Physics, Mathematics, and Engineering available in PDF, EPUB and Kindle. This volume offers a comprehensive approach to the theoretical, applied and symbolic computational aspects of the subject. Excellent for self-study, leading experts in the field have written on the of topics mentioned above, using an easy approach with efficient geometric language for non-specialists.
Applications of Geometric Algebra in Computer Science and Engineering
Applications of Geometric Algebra in Computer Science and Engineering - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Applications of Geometric Algebra in Computer Science and Engineering write by Leo Dorst. This book was released on 2012-12-06. Applications of Geometric Algebra in Computer Science and Engineering available in PDF, EPUB and Kindle. 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 interdisciplinary 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.
Geometric Algebra Computing
Geometric Algebra Computing - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometric Algebra Computing write by Eduardo Bayro-Corrochano. This book was released on 2010-05-19. Geometric Algebra Computing available in PDF, EPUB and Kindle. This useful text offers new insights and solutions for the development of theorems, algorithms and advanced methods for real-time applications across a range of disciplines. Its accessible style is enhanced by examples, figures and experimental analysis.
Geometric Algebra Applications Vol. I
Geometric Algebra Applications Vol. I - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometric Algebra Applications Vol. I write by Eduardo Bayro-Corrochano. This book was released on 2018-06-20. Geometric Algebra Applications Vol. I available in PDF, EPUB and Kindle. The goal of the Volume I Geometric Algebra for Computer Vision, Graphics and Neural Computing is to present a unified mathematical treatment of diverse problems in the general domain of artificial intelligence and associated fields using Clifford, or geometric, algebra. Geometric algebra provides a rich and general mathematical framework for Geometric Cybernetics in order to develop solutions, concepts and computer algorithms without losing geometric insight of the problem in question. Current mathematical subjects can be treated in an unified manner without abandoning the mathematical system of geometric algebra for instance: 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. By treating a wide spectrum of problems in a common language, this Volume I offers both new insights and new solutions that should be useful to scientists, and engineers working in different areas related with the development and building of intelligent machines. Each chapter is written in accessible terms accompanied by numerous examples, figures and a complementary appendix on Clifford algebras, all to clarify the theory and the crucial aspects of the application of geometric algebra to problems in graphics engineering, image processing, pattern recognition, computer vision, machine learning, neural computing and cognitive systems.
