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Lv Kantorovich Selected Works
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Book Synopsis Applied Functional Analysis. Approximation Methods and Computers by : S.S. Kutateladze
Download or read book Applied Functional Analysis. Approximation Methods and Computers written by S.S. Kutateladze and published by CRC Press. This book was released on 2010-12-12 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the most remarkable papers of L.V. Kantorovich in applied and numerical mathematics. It explores the principal directions of Kantorovich's research in approximate methods. The book covers descriptive set theory and functional analysis in semi-ordered vector spaces.
Book Synopsis Descriptive Theory of Sets and Functions. Functional Analysis in Semi-ordered Spaces by : L.V. Kantorovich
Download or read book Descriptive Theory of Sets and Functions. Functional Analysis in Semi-ordered Spaces written by L.V. Kantorovich and published by CRC Press. This book was released on 1996-02-19 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Selected Works by : N. N. Bogolubov (Jr.)
Download or read book Selected Works written by N. N. Bogolubov (Jr.) and published by CRC Press. This book was released on 1995 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains some of Bogolubov's papers on quantum field theory and the theory of elementary particles. The work undertaken by the author in the 1950s gave rise to some entirely new concepts, which include his suggestion that an appropriate mathematical method for quantum field theory should involve distributions, and his dismissal of his contemporaries' view of divergences as a problem. Also included in this collection are Bogolubov's proof of the theorem that the scattering matrix is determined in each order of peturbation theory up to quasi-local operators, together with his formulation of the method of the renormalization group in quantum field theory
Book Synopsis A. D. Alexandrov Selected Works by : Yu. G. Reshetnyak
Download or read book A. D. Alexandrov Selected Works written by Yu. G. Reshetnyak and published by CRC Press. This book was released on 2002-02-21 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Alexandr Danilovich Alexandrov has been called a giant of 20th-century mathematics. This volume contains some of the most important papers by this renowned geometer and hence, some of his most influential ideas. Alexandrov addressed a wide range of modern mathematical problems, and he did so with intelligence and elegance, solving some of the discipline's most difficult and enduring challenges. He was the first to apply many of the tools and methods of the theory of real functions and functional analysis that are now current in geometry. The topics here include convex polyhedrons and closed surfaces, an elementary proof and extension of Minkowski's theorem, Riemannian geometry and a method for Dirichlet problems. This monograph, published in English for the first time, gives unparalleled access to a brilliant mind, and advanced students and researchers in applied mathematics and geometry will find it indispensable.
Book Synopsis A. D. Alexandrov Selected Works Part I by : Yu. G. Reshetnyak
Download or read book A. D. Alexandrov Selected Works Part I written by Yu. G. Reshetnyak and published by CRC Press. This book was released on 2002-02-21 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: Alexandr Danilovich Alexandrov has been called a giant of 20th-century mathematics. This volume contains some of the most important papers by this renowned geometer and hence, some of his most influential ideas. Alexandrov addressed a wide range of modern mathematical problems, and he did so with intelligence and elegance, solving some of the disci
Book Synopsis Applied Functional Analysis. Approximation Methods and Computers by : S.S. Kutateladze
Download or read book Applied Functional Analysis. Approximation Methods and Computers written by S.S. Kutateladze and published by CRC Press. This book was released on 1996-02-19 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nonlinear Mechanics and Pure Mathematics by : V. S. Vladimirov
Download or read book Nonlinear Mechanics and Pure Mathematics written by V. S. Vladimirov and published by CRC Press. This book was released on 1995 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Differential Equations by : O.A. Oleinik
Download or read book Differential Equations written by O.A. Oleinik and published by CRC Press. This book was released on 1996-02-09 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: Part II of the Selected Works of Ivan Georgievich Petrowsky, contains his major papers on second order Partial differential equations, systems of ordinary. Differential equations, the theory, of Probability, the theory of functions, and the calculus of variations. Many of the articles contained in this book have Profoundly, influenced the development of modern mathematics. Of exceptional value is the article on the equation of diffusion with growing quantity of the substance. This work has found extensive application in biology, genetics, economics and other branches of natural science. Also of great importance is Petrowsky's work on a Problem which still remains unsolved - that of the number of limit cycles for ordinary differential equations with rational right-hand sides.
Author :Gennadii V. Demidenko Publisher :Springer Science & Business Media ISBN 13 :0387341498 Total Pages :606 pages Book Rating :4.3/5 (873 download)
Book Synopsis Selected Works of S.L. Sobolev by : Gennadii V. Demidenko
Download or read book Selected Works of S.L. Sobolev written by Gennadii V. Demidenko and published by Springer Science & Business Media. This book was released on 2006-12-15 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: The topics covered in this volume include Sobolev’s fundamental works on equations of mathematical physics, computational mathematics, and cubature formulas. Some of the articles are generally unknown to mathematicians because they were published in journals that are difficult to access. This is the first appearance in English of many works by this important Russian mathematician.
Book Synopsis Functional Analysis by : Kösaku Yosida
Download or read book Functional Analysis written by Kösaku Yosida and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book is based on lectures given by the author at the University of Tokyo during the past ten years. It is intended as a textbook to be studied by students on their own or to be used in a course on Functional Analysis, i. e. , the general theory of linear operators in function spaces together with salient features of its application to diverse fields of modern and classical analysis. Necessary prerequisites for the reading of this book are summarized, with or without proof, in Chapter 0 under titles: Set Theory, Topo logical Spaces, Measure Spaces and Linear Spaces. Then, starting with the chapter on Semi-norms, a general theory of Banach and Hilbert spaces is presented in connection with the theory of generalized functions of S. L. SOBOLEV and L. SCHWARTZ. While the book is primarily addressed to graduate students, it is hoped it might prove useful to research mathe maticians, both pure and applied. The reader may pass, e. g. , from Chapter IX (Analytical Theory of Semi-groups) directly to Chapter XIII (Ergodic Theory and Diffusion Theory) and to Chapter XIV (Integration of the Equation of Evolution). Such materials as "Weak Topologies and Duality in Locally Convex Spaces" and "Nuclear Spaces" are presented in the form of the appendices to Chapter V and Chapter X, respectively. These might be skipped for the first reading by those who are interested rather in the application of linear operators.
Book Synopsis I.G.Petrovskii:Selected Wrks P by : Olga Oleinik
Download or read book I.G.Petrovskii:Selected Wrks P written by Olga Oleinik and published by Taylor & Francis. This book was released on 2023-05-31 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the major works of Ivan Georgievich Petrowsky on systems of partial differential equations and algebraic geometry. The articles are of crucial importance for the topology of real algebraic manifolds and are the source of intensive development of theory of real algebraic manifolds.
Book Synopsis Approximate Methods of Higher Analysis by : Leonid Vitalʹevich Kantorovich
Download or read book Approximate Methods of Higher Analysis written by Leonid Vitalʹevich Kantorovich and published by . This book was released on 1964 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quantum and Classical Statistical Mechanics by : N. N. Bogolubov
Download or read book Quantum and Classical Statistical Mechanics written by N. N. Bogolubov and published by CRC Press. This book was released on 1995-09-22 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Descriptive Theory of Sets and Functions. Functional Analysis in Semi-ordered Spaces by : L.V. Kantorovich
Download or read book Descriptive Theory of Sets and Functions. Functional Analysis in Semi-ordered Spaces written by L.V. Kantorovich and published by CRC Press. This book was released on 1996-02-19 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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".
Book Synopsis L V Kantorovich by : Leonid V. Kantorovich
Download or read book L V Kantorovich written by Leonid V. Kantorovich and published by CRC Press. This book was released on 2001-10-04 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Selected Papers on Algebra and Topology by Garrett Birkhoff by : J.S. Oliveira
Download or read book Selected Papers on Algebra and Topology by Garrett Birkhoff written by J.S. Oliveira and published by Springer Science & Business Media. This book was released on 1987-01-01 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume of reprints are what I consider to be my most interesting and influential papers on algebra and topology. To tie them together, and to place them in context, I have supplemented them by a series of brief essays sketching their historieal background (as I see it). In addition to these I have listed some subsequent papers by others which have further developed some of my key ideas. The papers on universal algebra, lattice theory, and general topology collected in the present volume concern ideas which have become familiar to all working mathematicians. It may be helpful to make them readily accessible in one volume. I have tried in the introduction to each part to state the most significant features of ea ch paper reprinted there, and to indieate later developments. The background that shaped and stimulated my early work on universal algebra, lattice theory, and topology may be of some interest. As a Harvard undergraduate in 1928-32, I was encouraged to do independent reading and to write an original thesis. My tutorial reading included de la Vallee-Poussin's beautiful Cours d'Analyse Infinitesimale, Hausdorff's Grundzüge der Mengenlehre, and Frechet's Espaces Abstraits. In addition, I discovered Caratheodory's 1912 paper "Vber das lineare Mass von Punktmengen" and Hausdorff's 1919 paper on "Dimension und Ausseres Mass," and derived much inspiration from them. A fragment of my thesis, analyzing axiom systems for separable metrizable spaces, was later published [2]. * This background led to the work summarized in Part IV.
Book Synopsis Applied Functional Analysis. Approximation Methods and Computers by : S.S. Kutateladze
Download or read book Applied Functional Analysis. Approximation Methods and Computers written by S.S. Kutateladze and published by CRC Press. This book was released on 2010-12-12 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the most remarkable papers of L.V. Kantorovich in applied and numerical mathematics. It explores the principal directions of Kantorovich's research in approximate methods. The book covers descriptive set theory and functional analysis in semi-ordered vector spaces.
