C-O-R Generalized Functions, Current Algebras, and Control. Interdisciplinary Mathematics 30

Works toward extending the theory of Lie pseudogroups as developed by Lie, Cartan, and Spencer to the generalized function contest developed in recent years by Colombeau, Oberguggenberger, and Rosinger. Defines generalized differential forms, tensor fields, and manifolds; delves into a number of questions related to control theory; and responds to Steve Weinberg's book Dreams of a Final Theory . Emphasizes the application of differential geometry to the mathematical structures of physics, science, engineering, and computation. No index. Annotation copyright Book News, Inc. Portland, Or.