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.
A New Approach to Differential Geometry using Clifford's Geometric Algebra
A New Approach to Differential Geometry using Clifford's Geometric Algebra - 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 A New Approach to Differential Geometry using Clifford's Geometric Algebra write by John Snygg. This book was released on 2011-12-09. A New Approach to Differential Geometry using Clifford's Geometric Algebra available in PDF, EPUB and Kindle. 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.
Clifford Algebra to Geometric Calculus
Clifford Algebra to Geometric Calculus - 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 Algebra to Geometric Calculus write by David Hestenes. This book was released on 1984. Clifford Algebra to Geometric Calculus available in PDF, EPUB and Kindle. Matrix algebra has been called "the arithmetic of higher mathematics" [Be]. We think the basis for a better arithmetic has long been available, but its versatility has hardly been appreciated, and it has not yet been integrated into the mainstream of mathematics. We refer to the system commonly called 'Clifford Algebra', though we prefer the name 'Geometric Algebra' suggested by Clifford himself. Many distinct algebraic systems have been adapted or developed to express geometric relations and describe geometric structures. Especially notable are those algebras which have been used for this purpose in physics, in particular, the system of complex numbers, the quaternions, matrix algebra, vector, tensor and spinor algebras and the algebra of differential forms. Each of these geometric algebras has some significant advantage over the others in certain applications, so no one of them provides an adequate algebraic structure for all purposes of geometry and physics. At the same time, the algebras overlap considerably, so they provide several different mathematical representations for individual geometrical or physical ideas.
Clifford (Geometric) Algebras
Clifford (Geometric) Algebras - 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 write by William E. Baylis. This book was released on 2012-12-06. Clifford (Geometric) Algebras available in PDF, EPUB and Kindle. This volume is an outgrowth of the 1995 Summer School on Theoretical Physics of the Canadian Association of Physicists (CAP), held in Banff, Alberta, in the Canadian Rockies, from July 30 to August 12,1995. The chapters, based on lectures given at the School, are designed to be tutorial in nature, and many include exercises to assist the learning process. Most lecturers gave three or four fifty-minute lectures aimed at relative novices in the field. More emphasis is therefore placed on pedagogy and establishing comprehension than on erudition and superior scholarship. Of course, new and exciting results are presented in applications of Clifford algebras, but in a coherent and user-friendly way to the nonspecialist. The subject area of the volume is Clifford algebra and its applications. Through the geometric language of the Clifford-algebra approach, many concepts in physics are clarified, united, and extended in new and sometimes surprising directions. In particular, the approach eliminates the formal gaps that traditionally separate clas sical, quantum, and relativistic physics. It thereby makes the study of physics more efficient and the research more penetrating, and it suggests resolutions to a major physics problem of the twentieth century, namely how to unite quantum theory and gravity. The term "geometric algebra" was used by Clifford himself, and David Hestenes has suggested its use in order to emphasize its wide applicability, and b& cause the developments by Clifford were themselves based heavily on previous work by Grassmann, Hamilton, Rodrigues, Gauss, and others.
Geometric Computing with Clifford Algebras
Geometric Computing with Clifford Algebras - 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 Computing with Clifford Algebras write by Gerald Sommer. This book was released on 2013-06-29. Geometric Computing with Clifford Algebras available in PDF, EPUB and Kindle. This monograph-like anthology introduces the concepts and framework of Clifford algebra. It provides a rich source of examples of how to work with this formalism. Clifford or geometric algebra shows strong unifying aspects and turned out in the 1960s to be a most adequate formalism for describing different geometry-related algebraic systems as specializations of one "mother algebra" in various subfields of physics and engineering. Recent work shows that Clifford algebra provides a universal and powerful algebraic framework for an elegant and coherent representation of various problems occurring in computer science, signal processing, neural computing, image processing, pattern recognition, computer vision, and robotics.
