Clifford Algebra and Spinor-Valued Functions

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Author :
Release : 2012-12-06
Genre : Mathematics
Kind :
Book Rating : 223/5 ( reviews)

Clifford Algebra and Spinor-Valued Functions - 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 Algebra and Spinor-Valued Functions write by R. Delanghe. This book was released on 2012-12-06. Clifford Algebra and Spinor-Valued Functions available 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.

Clifford Algebra and Spinor-valued Functions

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Author :
Release : 1992
Genre : Mathematics
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Book Rating : /5 ( reviews)

Clifford Algebra and Spinor-valued Functions - 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 Algebra and Spinor-valued Functions write by Richard Delanghe. This book was released on 1992. Clifford Algebra and Spinor-valued Functions available 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 1) 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 2 and 3 illustrate how Clifford analysis extends and refines the computational tools available in complex analysis in the plane or harmonic analysis in space.

Clifford Algebras and Spinors

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Author :
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.

Clifford Algebra and Spinor-valued Functions: Disk

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Author :
Release : 1992
Genre : Clifford algebras
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Book Rating : 292/5 ( reviews)

Clifford Algebra and Spinor-valued Functions: Disk - 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 Algebra and Spinor-valued Functions: Disk write by Richard Delanghe. This book was released on 1992. Clifford Algebra and Spinor-valued Functions: Disk available in PDF, EPUB and Kindle.

An Introduction to Clifford Algebras and Spinors

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

An Introduction to 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 An Introduction to Clifford Algebras and Spinors write by Jayme Vaz Jr.. This book was released on 2016. An Introduction to Clifford Algebras and Spinors available 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.