L V Kantorovich PDF
By:Leonid V. Kantorovich,S.S. Kutateladze,J.V. Romanovsky
Published on 2001-10-04 by CRC Press
Part I of the Selected Works of L.V.Kantorovich is devoted to his mathematical work, with particular emphasis on the contribution he made to set theory and methods of mathematical approximation. The book begins with some chapters on the Descriptive Theory of Sets and Real Functions. Topics include universal functions, W.H. Young's classification, generalized derivatives of continuous functions and the H. Steinhaus problem. The book also includes papers on functional analysis in semi-ordered vector spaces, as well as articles relevant to the extension of Hilbert space in the spirit of distribution theory. This indispensable reference provides a record of the achievements of a man whose originality and diversity of thought distinguished him as a remarkable mathematician. Kantorovich was a true polymath, whose mathematical work had applications across a very broad field of subjects, particularly economics. This book will prove to be a useful reference work for anyone interested in learning about the origin of a number of important mathematical ideas. Part II of this set contains his works on Functional Analysis. 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 method for functional equations. Towards the end of the book there are several chapters on computers-a very early insight into what proved to be a development of enormous importance in the later half of the 20th century. Kantorovich is often said to be the founding father of mathematical programming. His ideas of the 1930s, which could never to come to fruition in Stalin's Soviet Union, were later developed by other scientists, and have had a considerable impact on the world, particularly in the field of economics. This book will appeal to anyone seeking further insight into the works of this great mathematician.
This Book was ranked at 21 by Google Books for keyword mathematics about sets.
Book ID of L V Kantorovich's Books is oMV-vAEACAAJ, Book which was written byLeonid V. Kantorovich,S.S. Kutateladze,J.V. Romanovskyhave ETAG "RSMjbOlByAQ"
Book which was published by CRC Press since 2001-10-04 have ISBNs, ISBN 13 Code is 9782881249839 and ISBN 10 Code is 2881249833
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