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Descriptive Theory of Sets and Functions. Functional Analysis in Semi-ordered Spaces (Classics of Soviet Mathematics) - Hardcover

 
9782884490122: Descriptive Theory of Sets and Functions. Functional Analysis in Semi-ordered Spaces (Classics of Soviet Mathematics)

Synopsis

This book presents articles of L.V. Kantorovich on the descriptive theory of sets and function and on functional analysis in semi-ordered spaces, to demonstrate the unity of L.V. Kantorovich's creative research. It also includes two papers on the "extension of Hilbert space".

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L.V. Kantorovich

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  • PublisherCRC Press
  • Publication date1996
  • ISBN 10 2884490124
  • ISBN 13 9782884490122
  • BindingHardcover
  • LanguageEnglish
  • Edition number1
  • Number of pages376

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9782884490139: Applied Functional Analysis. Approximation Methods and Computers: Applied Functional Analysis, Approximation Methods and Computers (Classics of Soviet Mathematics,)

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ISBN 10:  2884490132 ISBN 13:  9782884490139
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L.V. Kantorovich
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Hardcover. Condition: new. Hardcover. 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. Drawing on selected works from Kantorovich, this volume, the first of two, begins with chapters on the theory of sets and real functions. Other topics discussed include universal functions, W.H. Young's classification and generalized derivatives of continuous functions. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9782884490122

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