Verlag: BERTRAMS PRINT ON DEMAND Nov 2003, 2003
ISBN 10: 0444500561 ISBN 13: 9780444500564
Sprache: Englisch
Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
Taschenbuch. Zustand: Neu. Neuware - The book contains new generalized versions of: Fundamental Theorem of Calculus, Lagrange Mean-Value Theorem in real and complex cases, Hahn-Banach Theorems, Bolzano Theorem, Krein-Milman Theorem, Mean value Theorem for Definite Integral, and many others; and, Fixed Point Theorems of Bruower, Schauder and Kakutani's. The book contains some applications in Operations research and non convex analysis as a consequence of the new concept p-Extreme points given by the author. The book contains a complete theory for Taylor Series representations of the different types of holomorphic maps in F-spaces without convexity conditions. The book contains a general new concept of differentiability stronger than the Frechet one. This implies a new Differentiable Calculus called Quasi-differential (or Bayoumi differential) Calculus. It is due to the author's discovery in 1995. The book contains the theory of polynomials and Banach Stienhaus theorem in non convex spaces.