Clifford Algebra and Spinor-Valued Functions : A Function Theory for the Dirac Operator (Mathematics and Its Applications)

Delanghe, R./ Sommen, F./ Soucek, V.

Springer（2012/07発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 485 p.
• 言語 ENG
• 商品コード 9789401052979
• DDC分類 515

Full Description

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.

Contents

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.