R. Delanghe, F. Sommen, V. Soucek

Clifford Algebra and Spinor-Valued Functions

A Function Theory for the Dirac Operator

• Broschiertes Buch

Produktbeschreibung

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.

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Produktdetails

• Mathematics and Its Applications 53
• Verlag: Springer / Springer Netherlands
• Artikelnr. des Verlages: 978-94-010-5297-9
• Softcover reprint of the original 1st ed. 1992
• Seitenzahl: 504
• Erscheinungstermin: 28. Juli 2012
• Englisch
• Abmessung: 240mm x 160mm x 28mm
• Gewicht: 797g
• ISBN-13: 9789401052979
• ISBN-10: 9401052972
• Artikelnr.: 39916880

Inhaltsangabe

0 Clifford algebras over lower dimensional Euclidean spaces.- I Clifford Algebras and Spinor Spaces.- II Monogenic functions.- III Special functions and methods.- IV Monogenic differential forms and residues.- V Clifford analysis and the Penrose transform.- Appendices.- Appendix A.- Appendix B.- Appendix C.- 1 Introduction.- 4 The Clifford.red package.