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Author : W. A. Rodrigues
Publisher :
ISBN 13 :
Total Pages : 66 pages
Book Rating : 4.3/5 (91 download)
Download or read book Algebraic and Dirac-Hestenes Spinors and Spinor Fields written by W. A. Rodrigues and published by . This book was released on 2002 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : W. A. Rodrigues
Publisher :
ISBN 13 :
Total Pages : 56 pages
Book Rating : 4.3/5 (91 download)
Download or read book The Bundles of Algebraic and Dirac-Hestenes Spinors Fields written by W. A. Rodrigues and published by . This book was released on 2002 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Waldyr A. Rodrigues, Jr
Publisher : Springer
ISBN 13 : 3319276379
Total Pages : 592 pages
Book Rating : 4.3/5 (192 download)
Download or read book The Many Faces of Maxwell, Dirac and Einstein Equations written by Waldyr A. Rodrigues, Jr and published by Springer. This book was released on 2016-04-26 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an exposition of the algebra and calculus of differential forms, of the Clifford and Spin-Clifford bundle formalisms, and of vistas to a formulation of important concepts of differential geometry indispensable for an in-depth understanding of space-time physics. The formalism discloses the hidden geometrical nature of spinor fields. Maxwell, Dirac and Einstein fields are shown to have representatives by objects of the same mathematical nature, namely sections of an appropriate Clifford bundle. This approach reveals unity in diversity and suggests relationships that are hidden in the standard formalisms and opens new paths for research. This thoroughly revised second edition also adds three new chapters: on the Clifford bundle approach to the Riemannian or semi-Riemannian differential geometry of branes; on Komar currents in the context of the General Relativity theory; and an analysis of the similarities and main differences between Dirac, Majorana and ELKO spinor fields. The exercises with solutions, the comprehensive list of mathematical symbols, and the list of acronyms and abbreviations are provided for self-study for students as well as for classes. From the reviews of the first edition: “The text is written in a very readable manner and is complemented with plenty of worked-out exercises which are in the style of extended examples. ... their book could also serve as a textbook for graduate students in physics or mathematics." (Alberto Molgado, Mathematical Reviews, 2008 k)
Author : Waldyr A. Rodrigues
Publisher : Springer Science & Business Media
ISBN 13 : 3540712925
Total Pages : 452 pages
Book Rating : 4.5/5 (47 download)
Download or read book The Many Faces of Maxwell, Dirac and Einstein Equations written by Waldyr A. Rodrigues and published by Springer Science & Business Media. This book was released on 2007-07-03 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a comprehensive reference on differential geometry. It shows that Maxwell, Dirac and Einstein fields, which were originally considered objects of a very different mathematical nature, have representatives as objects of the same mathematical nature. The book also analyzes some foundational issues of relativistic field theories. All calculation procedures are illustrated by many exercises that are solved in detail.
Author : Rafal Ablamowicz
Publisher : Springer Science & Business Media
ISBN 13 : 9401584222
Total Pages : 428 pages
Book Rating : 4.4/5 (15 download)
Download or read book Clifford Algebras and Spinor Structures written by Rafal Ablamowicz and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to the memory of Albert Crumeyrolle, who died on June 17, 1992. In organizing the volume we gave priority to: articles summarizing Crumeyrolle's own work in differential geometry, general relativity and spinors, articles which give the reader an idea of the depth and breadth of Crumeyrolle's research interests and influence in the field, articles of high scientific quality which would be of general interest. In each of the areas to which Crumeyrolle made significant contribution - Clifford and exterior algebras, Weyl and pure spinors, spin structures on manifolds, principle of triality, conformal geometry - there has been substantial progress. Our hope is that the volume conveys the originality of Crumeyrolle's own work, the continuing vitality of the field he influenced, and the enduring respect for, and tribute to, him and his accomplishments in the mathematical community. It isour pleasure to thank Peter Morgan, Artibano Micali, Joseph Grifone, Marie Crumeyrolle and Kluwer Academic Publishers for their help in preparingthis volume.
Author : Pertti Lounesto
Publisher : Cambridge University Press
ISBN 13 : 0521005515
Total Pages : 352 pages
Book Rating : 4.5/5 (21 download)
Download or read book Clifford Algebras and Spinors written by Pertti Lounesto and published by Cambridge University Press. This book was released on 2001-05-03 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second edition of a popular work offering a unique introduction to Clifford algebras and spinors. The beginning chapters could be read by undergraduates; vectors, complex numbers and quaternions are introduced with an eye on Clifford algebras. The next chapters will also interest physicists, and include treatments of the quantum mechanics of the electron, electromagnetism and special relativity with a flavour of Clifford algebras. This edition has three new chapters, including material on conformal invariance and a history of Clifford algebras.
Author : Jayme Vaz Jr.
Publisher : Oxford University Press
ISBN 13 : 0198782926
Total Pages : 257 pages
Book Rating : 4.1/5 (987 download)
Download or read book An Introduction to Clifford Algebras and Spinors written by Jayme Vaz Jr. and published by Oxford University Press. This book was released on 2016 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : David Hestenes
Publisher : Birkhäuser
ISBN 13 : 331918413X
Total Pages : 122 pages
Book Rating : 4.3/5 (191 download)
Download or read book Space-Time Algebra written by David Hestenes and published by Birkhäuser. This book was released on 2015-04-25 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: This small book started a profound revolution in the development of mathematical physics, one which has reached many working physicists already, and which stands poised to bring about far-reaching change in the future. At its heart is the use of Clifford algebra to unify otherwise disparate mathematical languages, particularly those of spinors, quaternions, tensors and differential forms. It provides a unified approach covering all these areas and thus leads to a very efficient ‘toolkit’ for use in physical problems including quantum mechanics, classical mechanics, electromagnetism and relativity (both special and general) – only one mathematical system needs to be learned and understood, and one can use it at levels which extend right through to current research topics in each of these areas. These same techniques, in the form of the ‘Geometric Algebra’, can be applied in many areas of engineering, robotics and computer science, with no changes necessary – it is the same underlying mathematics, and enables physicists to understand topics in engineering, and engineers to understand topics in physics (including aspects in frontier areas), in a way which no other single mathematical system could hope to make possible. There is another aspect to Geometric Algebra, which is less tangible, and goes beyond questions of mathematical power and range. This is the remarkable insight it gives to physical problems, and the way it constantly suggests new features of the physics itself, not just the mathematics. Examples of this are peppered throughout ‘Space-Time Algebra’, despite its short length, and some of them are effectively still research topics for the future. From the Foreward by Anthony Lasenby
Author : William E. Baylis
Publisher : Springer Science & Business Media
ISBN 13 : 1461241049
Total Pages : 522 pages
Book Rating : 4.4/5 (612 download)
Download or read book Clifford (Geometric) Algebras written by William E. Baylis and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Roger Boudet
Publisher : Springer Science & Business Media
ISBN 13 : 3540855491
Total Pages : 127 pages
Book Rating : 4.5/5 (48 download)
Download or read book Relativistic Transitions in the Hydrogenic Atoms written by Roger Boudet and published by Springer Science & Business Media. This book was released on 2008-12-08 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: When one approaches the study of the quantal relativistic theory of the electron, one may be surprised by the gap which lies between the frame of the experiments, i.e. the real geometry of the space and time, and the abstraction of the complex matrices and spinors formalism employed in the presentation of the theory. This book uses a theory of the electron, introduced by David Hestenes, in which the mathematical language is the same as the one of the geometry of the space and time. Such a language not only allows one to find again the well known results concerning the one-electron atoms theory but furthermore leads easily to the resolution of problems considered for a long time without solution.
Author : Patricio S Letelier
Publisher : World Scientific
ISBN 13 : 9814552178
Total Pages : 606 pages
Book Rating : 4.8/5 (145 download)
Download or read book Gravitation:the Spacetime Structure: Proceedings Of The Viii Latin American Symposium On Relativity And Gravitation written by Patricio S Letelier and published by World Scientific. This book was released on 1994-07-27 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains five mini-courses: Nakedly Singular Solutions of Einstein's Equations (K Lake); Clifford Algebras, Relativity and Quantum Mechanics (P Lounesto); Numerical Relativity and Dynamical Evolution of Black Hole Spacetimes (R Matzner); Soliton and Vacua in Relativity Theory Revisited (G W Gibbons); Cosmic Strings and Their Observational Consequences (E P S Shellard); and seventy-seven research papers by Latin American scientists.
Author : Bob Coecke
Publisher : Springer Science & Business Media
ISBN 13 : 3642128203
Total Pages : 1034 pages
Book Rating : 4.6/5 (421 download)
Download or read book New Structures for Physics written by Bob Coecke and published by Springer Science & Business Media. This book was released on 2011 with total page 1034 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a series of tutorials on mathematical structures which recently have gained prominence in physics, ranging from quantum foundations, via quantum information, to quantum gravity. These include the theory of monoidal categories and corresponding graphical calculi, Girard’s linear logic, Scott domains, lambda calculus and corresponding logics for typing, topos theory, and more general process structures. Most of these structures are very prominent in computer science; the chapters here are tailored towards an audience of physicists.
Author :
Publisher :
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.3/5 (91 download)
Download or read book On the Differentiability of Fuzzy-valued Mappings and the Stability of a Fuzzy Differential Equation written by and published by . This book was released on 2002 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Rafal Ablamowicz
Publisher : Springer Science & Business Media
ISBN 13 : 1461581575
Total Pages : 328 pages
Book Rating : 4.4/5 (615 download)
Download or read book Clifford Algebras with Numeric and Symbolic Computations written by Rafal Ablamowicz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited survey book consists of 20 chapters showing application of Clifford algebra in quantum mechanics, field theory, spinor calculations, projective geometry, Hypercomplex algebra, function theory and crystallography. Many examples of computations performed with a variety of readily available software programs are presented in detail.
Author :
Publisher :
ISBN 13 :
Total Pages : 632 pages
Book Rating : 4.F/5 ( download)
Download or read book Série, Recherches Sur Les Déformations written by and published by . This book was released on 2003 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 532 pages
Book Rating : 4.3/5 (91 download)
Download or read book Algebras, Groups, and Geometries written by and published by . This book was released on 2007 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Edmundo Capelas de Oliveira
Publisher :
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.3/5 (91 download)
Download or read book Some Integrals Involving a Class of Filtering Functions written by Edmundo Capelas de Oliveira and published by . This book was released on 2002 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
