Geometric Algebra For Physicists PDF Download
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| Author | : Chris Doran |
| Publisher | : Cambridge University Press |
| Total Pages | : 647 |
| Release | : 2007-11-22 |
| Genre | : Science |
| ISBN | : 1139643142 |
Download Geometric Algebra for Physicists Book in PDF, ePub and Kindle
Geometric algebra is a powerful mathematical language with applications across a range of subjects in physics and engineering. This book is a complete guide to the current state of the subject with early chapters providing a self-contained introduction to geometric algebra. Topics covered include new techniques for handling rotations in arbitrary dimensions, and the links between rotations, bivectors and the structure of the Lie groups. Following chapters extend the concept of a complex analytic function theory to arbitrary dimensions, with applications in quantum theory and electromagnetism. Later chapters cover advanced topics such as non-Euclidean geometry, quantum entanglement, and gauge theories. Applications such as black holes and cosmic strings are also explored. It can be used as a graduate text for courses on the physical applications of geometric algebra and is also suitable for researchers working in the fields of relativity and quantum theory.
| Author | : Chris Doran |
| Publisher | : Cambridge University Press |
| Total Pages | : 596 |
| Release | : 2003-05-29 |
| Genre | : Mathematics |
| ISBN | : 9780521480222 |
Download Geometric Algebra for Physicists Book in PDF, ePub and Kindle
Geometric algebra is a powerful mathematical language with applications across a range of subjects in physics and engineering.
| Author | : Venzo de Sabbata |
| Publisher | : CRC Press |
| Total Pages | : 186 |
| Release | : 2006-12-07 |
| Genre | : Mathematics |
| ISBN | : 1584887737 |
Download Geometric Algebra and Applications to Physics Book in PDF, ePub and Kindle
Bringing geometric algebra to the mainstream of physics pedagogy, Geometric Algebra and Applications to Physics not only presents geometric algebra as a discipline within mathematical physics, but the book also shows how geometric algebra can be applied to numerous fundamental problems in physics, especially in experimental situations. This
| Author | : William Eric Baylis |
| Publisher | : Boston : Birkhäuser |
| Total Pages | : 544 |
| Release | : 1996 |
| Genre | : Mathematics |
| ISBN | : |
Download Clifford (geometric) Algebras with Applications to Physics, Mathematics, and Engineering Book 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.
| Author | : David Hestenes |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 340 |
| Release | : 1984 |
| Genre | : Mathematics |
| ISBN | : 9789027725615 |
Download Clifford Algebra to Geometric Calculus Book 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.
| Author | : Jayme Vaz Jr. |
| Publisher | : Oxford University Press |
| Total Pages | : 257 |
| Release | : 2016 |
| Genre | : Mathematics |
| ISBN | : 0198782926 |
Download An Introduction to Clifford Algebras and Spinors Book in PDF, ePub and Kindle
This work is unique compared to the existing literature. It is very didactical and accessible to both students and researchers, without neglecting the formal character and the deep algebraic completeness of the topic along with its physical applications.
| Author | : Miroslav Josipović |
| Publisher | : Springer Nature |
| Total Pages | : 241 |
| Release | : 2019-11-22 |
| Genre | : Mathematics |
| ISBN | : 3030017567 |
Download Geometric Multiplication of Vectors Book in PDF, ePub and Kindle
This book enables the reader to discover elementary concepts of geometric algebra and its applications with lucid and direct explanations. Why would one want to explore geometric algebra? What if there existed a universal mathematical language that allowed one: to make rotations in any dimension with simple formulas, to see spinors or the Pauli matrices and their products, to solve problems of the special theory of relativity in three-dimensional Euclidean space, to formulate quantum mechanics without the imaginary unit, to easily solve difficult problems of electromagnetism, to treat the Kepler problem with the formulas for a harmonic oscillator, to eliminate unintuitive matrices and tensors, to unite many branches of mathematical physics? What if it were possible to use that same framework to generalize the complex numbers or fractals to any dimension, to play with geometry on a computer, as well as to make calculations in robotics, ray-tracing and brain science? In addition, what if such a language provided a clear, geometric interpretation of mathematical objects, even for the imaginary unit in quantum mechanics? Such a mathematical language exists and it is called geometric algebra. High school students have the potential to explore it, and undergraduate students can master it. The universality, the clear geometric interpretation, the power of generalizations to any dimension, the new insights into known theories, and the possibility of computer implementations make geometric algebra a thrilling field to unearth.
| Author | : Leo Dorst |
| Publisher | : Elsevier |
| Total Pages | : 664 |
| Release | : 2010-07-26 |
| Genre | : Juvenile Nonfiction |
| ISBN | : 0080553109 |
Download Geometric Algebra for Computer Science Book in PDF, ePub and Kindle
Until recently, almost all of the interactions between objects in virtual 3D worlds have been based on calculations performed using linear algebra. Linear algebra relies heavily on coordinates, however, which can make many geometric programming tasks very specific and complex-often a lot of effort is required to bring about even modest performance enhancements. Although linear algebra is an efficient way to specify low-level computations, it is not a suitable high-level language for geometric programming. Geometric Algebra for Computer Science presents a compelling alternative to the limitations of linear algebra. Geometric algebra, or GA, is a compact, time-effective, and performance-enhancing way to represent the geometry of 3D objects in computer programs. In this book you will find an introduction to GA that will give you a strong grasp of its relationship to linear algebra and its significance for your work. You will learn how to use GA to represent objects and perform geometric operations on them. And you will begin mastering proven techniques for making GA an integral part of your applications in a way that simplifies your code without slowing it down. * The first book on Geometric Algebra for programmers in computer graphics and entertainment computing * Written by leaders in the field providing essential information on this new technique for 3D graphics * This full colour book includes a website with GAViewer, a program to experiment with GA
| Author | : John Snygg |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 472 |
| Release | : 2011-12-09 |
| Genre | : Mathematics |
| ISBN | : 081768283X |
Download A New Approach to Differential Geometry using Clifford's Geometric Algebra Book 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.
| Author | : John W. Arthur |
| Publisher | : John Wiley & Sons |
| Total Pages | : 320 |
| Release | : 2011-09-13 |
| Genre | : Science |
| ISBN | : 0470941634 |
Download Understanding Geometric Algebra for Electromagnetic Theory Book in PDF, ePub and Kindle
This book aims to disseminate geometric algebra as a straightforward mathematical tool set for working with and understanding classical electromagnetic theory. It's target readership is anyone who has some knowledge of electromagnetic theory, predominantly ordinary scientists and engineers who use it in the course of their work, or postgraduate students and senior undergraduates who are seeking to broaden their knowledge and increase their understanding of the subject. It is assumed that the reader is not a mathematical specialist and is neither familiar with geometric algebra or its application to electromagnetic theory. The modern approach, geometric algebra, is the mathematical tool set we should all have started out with and once the reader has a grasp of the subject, he or she cannot fail to realize that traditional vector analysis is really awkward and even misleading by comparison. Professors can request a solutions manual by email: [email protected]
