Mathematics and its Applications
2 primary works • 6 total works
Book 53
Clifford Algebra and Spinor-valued Functions
by R. Delanghe, etc., F Sommen, and V. Soucek
Published 30 April 1992
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. In chapter 4 the concept of monogenic differential forms is generalized to the case of spin-manifolds. Chapter 5 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.
Book 348
Mathematical Modelling of Heat and Mass Transfer Processes
by V.G. Danilov and etc.
Published 31 October 1995
Reviews methods for constructing a specific class of asymptotic solutions, here called self-stabilizing, among which are solitons, kinks, travelling waves, and others. Either the solutions from the class or their derivatives are localized in the neighborhood of a certain curve or surface. Applicatio
Modelling, Applications and Applied Problem Solving
by Werner Blum and etc.
Published 1 October 1989
Modern Introduction to Classical Mechanics Control
by D N Burghes, etc., and Angela Mary Downs
Published 1 January 1975