Applied Functional Analysis. Approximation Methods and Computers: Part II ebook
Applied Functional Analysis. Approximation Methods and Computers: Part II ebook

Applied Functional Analysis. Approximation Methods and Computers: Part II.cS. S. Kutateladze
Applied Functional Analysis. Approximation Methods and Computers: Part II
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Author: S. S. Kutateladze
Number of Pages: 400 pages
Published Date: 19 Feb 1996
Publisher: Taylor & Francis Ltd
Publication Country: London, United Kingdom
Language: English
ISBN: 9782884490139
File size: 15 Mb
File Name: Applied.Functional.Analysis..Approximation.Methods.and.Computers.Part.II.pdf
Download Link: Applied Functional Analysis. Approximation Methods and Computers Part II
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Kantorovich, the late Nobel Laureate, was a respected mathematical economist, and one of the founding fathers of linear programming. Part I begins with chapters on the theory of sets and real functions. Topics treated include universal functions, W.H. Young's classification, generalized derivatives of continuous functions and the H. Steinhaus problem. The book also includes papers on the theory of projective sets, general and particular methods of the extension of Hilbert space, and linear semi-ordered spaces. The author deals with a number of approximate calculations and solutions including a discussion of an approximate calculation of certain types of definite integrals, and also a method for the approximate solution of partial differential equations. In addition to this, the author looks at various other methods, including the Ritz method, the Galerkin method in relation to the reduction of differential equations and the Newton methods for functional equations. Towards the end of the book there are several chapters on computers.

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