Clifford Algebra and Spinor-Valued Functions: A Function Theory for the Dirac Operator: 53 (Mathematics and Its Applications, 53) - Softcover
Synopsis
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.
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Taschenbuch. Condition: Neu. Clifford Algebra and Spinor-Valued Functions | A Function Theory for the Dirac Operator | R. Delanghe (u. a.) | Taschenbuch | Mathematics and Its Applications | xvii | Englisch | 2012 | Springer | EAN 9789401052979 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Seller Inventory # 105565378
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Paperback. Condition: New. One service mathematics has rendered the 'Et moil " '1 .i favait su comment en revenir. je n'y scrais point all .* human race. It has put oommon sense back Jules Verne when: it belongs, on the topmost shelf next to the dusty canister labelled' discarded nonsense'. The series is divergent; therefore we may be EricT.Bell able to do something with it O. Heaviside Mathematics is a tool for thought A highly necessary tool in a world where both feedback and nonlineari- ties abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sci- ences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One ser- vice topology has rendered mathematical physics .'; 'One service logic has rendered computer science .'; 'One service category theory has rendered mathematics .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series. Softcover reprint of the original 1st ed. 1992. Seller Inventory # LU-9789401052979
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