Lectures on Clifford (Geometric) Algebras and Applications

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Release : 2003-11-06
Genre : Mathematics
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Book Rating : 571/5 ( reviews)

Lectures on Clifford (Geometric) Algebras and Applications - 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 Lectures on Clifford (Geometric) Algebras and Applications write by Rafal Ablamowicz. This book was released on 2003-11-06. Lectures on Clifford (Geometric) Algebras and Applications available in PDF, EPUB and Kindle. The subject of Clifford (geometric) algebras offers a unified algebraic framework for the direct expression of the geometric concepts in algebra, geometry, and physics. This bird's-eye view of the discipline is presented by six of the world's leading experts in the field; it features an introductory chapter on Clifford algebras, followed by extensive explorations of their applications to physics, computer science, and differential geometry. The book is ideal for graduate students in mathematics, physics, and computer science; it is appropriate both for newcomers who have little prior knowledge of the field and professionals who wish to keep abreast of the latest applications.

Clifford (Geometric) Algebras

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Release : 2012-12-06
Genre : Science
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Book Rating : 049/5 ( reviews)

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.

Clifford (geometric) Algebras with Applications to Physics, Mathematics, and Engineering

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Author :
Release : 1996
Genre : Mathematics
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Book Rating : /5 ( reviews)

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.

Lectures on Clifford (Geometric) Algebras and Applications

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Release : 2011-06-28
Genre : Mathematics
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Book Rating : 906/5 ( reviews)

Lectures on Clifford (Geometric) Algebras and Applications - 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 Lectures on Clifford (Geometric) Algebras and Applications write by Rafal Ablamowicz. This book was released on 2011-06-28. Lectures on Clifford (Geometric) Algebras and Applications available in PDF, EPUB and Kindle. The subject of Clifford (geometric) algebras offers a unified algebraic framework for the direct expression of the geometric concepts in algebra, geometry, and physics. This bird's-eye view of the discipline is presented by six of the world's leading experts in the field; it features an introductory chapter on Clifford algebras, followed by extensive explorations of their applications to physics, computer science, and differential geometry. The book is ideal for graduate students in mathematics, physics, and computer science; it is appropriate both for newcomers who have little prior knowledge of the field and professionals who wish to keep abreast of the latest applications.

Clifford Algebras and Spinors

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Release : 2001-05-03
Genre : Mathematics
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Book Rating : 515/5 ( reviews)

Clifford Algebras and Spinors - 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 Algebras and Spinors write by Pertti Lounesto. This book was released on 2001-05-03. Clifford Algebras and Spinors available 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.