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Clifford Numbers and Spinors

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Release : 2013-11-11
Genre : Science
Kind : eBook
Book Rating : 473/5 ( reviews)

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Book Synopsis Clifford Numbers and Spinors by : Marcel Riesz

Download or read book Clifford Numbers and Spinors written by Marcel Riesz. This book was released on 2013-11-11. Available in PDF, EPUB and Kindle. Book excerpt: Marcellliesz's lectures delivered on October 1957 -January 1958 at the Uni versity of Maryland, College Park, have been previously published only infor mally as a manuscript entitled CLIFFORD NUMBERS AND SPINORS (Chap ters I - IV). As the title says, the lecture notes consist of four Chapters I, II, III and IV. However, in the preface of the lecture notes lliesz refers to Chapters V and VI which he could not finish. Chapter VI is mentioned on pages 1, 3, 16, 38 and 156, which makes it plausible that lliesz was well aware of what he was going to include in the final missing chapters. The present book makes lliesz's classic lecture notes generally available to a wider audience and tries somewhat to fill in one of the last missing chapters. This book also tries to evaluate lliesz's influence on the present research on Clifford algebras and draws special attention to lliesz's contributions in this field - often misunderstood.

Clifford Algebras and Spinors

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

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Book Synopsis Clifford Algebras and Spinors by : Pertti Lounesto

Download or read book Clifford Algebras and Spinors written by Pertti Lounesto. This book was released on 2001-05-03. 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.

An Introduction to Clifford Algebras and Spinors

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Author :
Release : 2016
Genre : Mathematics
Kind : eBook
Book Rating : 926/5 ( reviews)

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Book Synopsis An Introduction to Clifford Algebras and Spinors by : Jayme Vaz Jr.

Download or read book An Introduction to Clifford Algebras and Spinors written by Jayme Vaz Jr.. This book was released on 2016. 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.

Clifford Numbers and Spinors

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Release : 2014-01-15
Genre :
Kind : eBook
Book Rating : 480/5 ( reviews)

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Book Synopsis Clifford Numbers and Spinors by : Marcel Bolinder E. F. Riesz

Download or read book Clifford Numbers and Spinors written by Marcel Bolinder E. F. Riesz. This book was released on 2014-01-15. Available in PDF, EPUB and Kindle. Book excerpt:

Clifford Algebra to Geometric Calculus

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Author :
Release : 1984
Genre : Mathematics
Kind : eBook
Book Rating : 615/5 ( reviews)

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Book Synopsis Clifford Algebra to Geometric Calculus by : David Hestenes

Download or read book Clifford Algebra to Geometric Calculus written by David Hestenes. This book was released on 1984. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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