Clifford Algebras And Spinor Structures PDF Download
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| Author | : Pertti Lounesto |
| Publisher | : Cambridge University Press |
| Total Pages | : 352 |
| Release | : 2001-05-03 |
| Genre | : Mathematics |
| ISBN | : 0521005515 |
Download Clifford Algebras and Spinors Book in PDF, ePub and Kindle
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 | : A. Crumeyrolle |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 364 |
| Release | : 2013-06-29 |
| Genre | : Science |
| ISBN | : 940157877X |
Download Orthogonal and Symplectic Clifford Algebras Book in PDF, ePub and Kindle
| 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 | : Rafal Ablamowicz |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 428 |
| Release | : 2013-06-29 |
| Genre | : Mathematics |
| ISBN | : 9401584222 |
Download Clifford Algebras and Spinor Structures Book in PDF, ePub and Kindle
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 | : Rafal Ablamowicz |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 635 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461220440 |
Download Clifford Algebras Book in PDF, ePub and Kindle
The invited papers in this volume provide a detailed examination of Clifford algebras and their significance to analysis, geometry, mathematical structures, physics, and applications in engineering. While the papers collected in this volume require that the reader possess a solid knowledge of appropriate background material, they lead to the most current research topics. With its wide range of topics, well-established contributors, and excellent references and index, this book will appeal to graduate students and researchers.
| Author | : Claude Chevalley |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 232 |
| Release | : 1996-12-13 |
| Genre | : Mathematics |
| ISBN | : 9783540570639 |
Download The Algebraic Theory of Spinors and Clifford Algebras Book in PDF, ePub and Kindle
In 1982, Claude Chevalley expressed three specific wishes with respect to the publication of his Works. First, he stated very clearly that such a publication should include his non technical papers. His reasons for that were two-fold. One reason was his life long commitment to epistemology and to politics, which made him strongly opposed to the view otherwise currently held that mathematics involves only half of a man. As he wrote to G. C. Rota on November 29th, 1982: "An important number of papers published by me are not of a mathematical nature. Some have epistemological features which might explain their presence in an edition of collected papers of a mathematician, but quite a number of them are concerned with theoretical politics ( . . . ) they reflect an aspect of myself the omission of which would, I think, give a wrong idea of my lines of thinking". On the other hand, Chevalley thought that the Collected Works of a mathematician ought to be read not only by other mathematicians, but also by historians of science.
| Author | : Andrzej Borowiec |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 433 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 9401117195 |
Download Spinors, Twistors, Clifford Algebras and Quantum Deformations Book in PDF, ePub and Kindle
ZBIGNIEW OZIEWICZ University of Wroclaw, Poland December 1992 The First Max Born Symposium in Theoretical and Mathematical Phy sics, organized by the University of Wrodaw, was held in September 1991 with the intent that it would become an annual event. It is the outgrowth of the annual Seminars organized jointly since 1972 with the University of Leipzig. The name of the Symposia was proposed by Professor Jan Lopu szanski. Max Born, an outstanding German theoretical physicist, was born in 1883 in Breslau (the German name of Wrodaw) and educated here. The Second Max Born Symposium was held during the four days 24- 27 September 1992 in an old Sobotka Castle 30 km west of Wrodaw. The Sobotka Castle was built in the eleventh century. The dates engraved on the walls of the Castle are 1024, 1140, and at the last rebuilding, 1885. The castle served as a cloister until the end of the sixteenth century.
| Author | : Robert Hermann |
| Publisher | : Math-Sci Press |
| Total Pages | : 292 |
| Release | : 1974 |
| Genre | : Mathematics |
| ISBN | : 9780915692064 |
Download Spinors, Clifford and Cayley Algebras Book in PDF, ePub and Kindle
| 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 | : R. Delanghe |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 501 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 9401129223 |
Download Clifford Algebra and Spinor-Valued Functions Book in PDF, ePub and Kindle
This volume describes the substantial developments in Clifford analysis which have taken place during the last decade and, in particular, the role of the spin group in the study of null solutions of real and complexified Dirac and Laplace operators. The book has six main chapters. The first two (Chapters 0 and I) present classical results on real and complex Clifford algebras and show how lower-dimensional real Clifford algebras are well-suited for describing basic geometric notions in Euclidean space. Chapters II and III illustrate how Clifford analysis extends and refines the computational tools available in complex analysis in the plane or harmonic analysis in space. In Chapter IV the concept of monogenic differential forms is generalized to the case of spin-manifolds. Chapter V deals with analysis on homogeneous spaces, and shows how Clifford analysis may be connected with the Penrose transform. The volume concludes with some Appendices which present basic results relating to the algebraic and analytic structures discussed. These are made accessible for computational purposes by means of computer algebra programmes written in REDUCE and are contained on an accompanying floppy disk.
