A D Alexandrov Selected Works Part I
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A D Alexandrov Selected Works
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Author : Yu. G. Reshetnyak
language : en
Publisher: CRC Press
Release Date : 2002-02-21
A D Alexandrov Selected Works written by Yu. G. Reshetnyak and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-02-21 with Mathematics categories.
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.
A D Alexandrov Selected Works Part I
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Author : Yu. G. Reshetnyak
language : en
Publisher: CRC Press
Release Date : 2002-02-21
A D Alexandrov Selected Works Part I written by Yu. G. Reshetnyak and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-02-21 with Mathematics categories.
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
A D Alexandrov Selected Works
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Author : Yu G Reshetnyak
language : en
Publisher: CRC Press
Release Date : 2019-08-30
A D Alexandrov Selected Works written by Yu G Reshetnyak and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-30 with Geometry categories.
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.
I G Petrovskii Selected Wrks P
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Author : Olga Oleinik
language : en
Publisher: Taylor & Francis
Release Date : 2023-06-14
I G Petrovskii Selected Wrks P written by Olga Oleinik and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-14 with Mathematics categories.
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.
Descriptive Theory Of Sets And Functions Functional Analysis In Semi Ordered Spaces
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Author : L.V. Kantorovich
language : en
Publisher: CRC Press
Release Date : 2024-12-11
Descriptive Theory Of Sets And Functions Functional Analysis In Semi Ordered Spaces written by L.V. Kantorovich and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-11 with Mathematics categories.
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".
Applied Functional Analysis Approximation Methods And Computers
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Author : S.S. Kutateladze
language : en
Publisher: CRC Press
Release Date : 2010-12-12
Applied Functional Analysis Approximation Methods And Computers written by S.S. Kutateladze and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-12 with Mathematics categories.
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.
Differential Equations
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Author : O.A. Oleinik
language : en
Publisher: CRC Press
Release Date : 1996-02-09
Differential Equations written by O.A. Oleinik and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-02-09 with Mathematics categories.
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.
Geometric Folding Algorithms
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Author : Erik D. Demaine
language : en
Publisher: Cambridge University Press
Release Date : 2007-07-16
Geometric Folding Algorithms written by Erik D. Demaine and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-07-16 with Computers categories.
Did you know that any straight-line drawing on paper can be folded so that the complete drawing can be cut out with one straight scissors cut? That there is a planar linkage that can trace out any algebraic curve, or even 'sign your name'? Or that a 'Latin cross' unfolding of a cube can be refolded to 23 different convex polyhedra? Over the past decade, there has been a surge of interest in such problems, with applications ranging from robotics to protein folding. With an emphasis on algorithmic or computational aspects, this treatment gives hundreds of results and over 60 unsolved 'open problems' to inspire further research. The authors cover one-dimensional (1D) objects (linkages), 2D objects (paper), and 3D objects (polyhedra). Aimed at advanced undergraduate and graduate students in mathematics or computer science, this lavishly illustrated book will fascinate a broad audience, from school students to researchers.
A D Alexandrov
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Author : S.S. Kutateladze
language : en
Publisher: CRC Press
Release Date : 2005-07-25
A D Alexandrov written by S.S. Kutateladze and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-07-25 with Mathematics categories.
A.D. Alexandrov is considered by many to be the father of intrinsic geometry, second only to Gauss in surface theory. That appraisal stems primarily from this masterpiece--now available in its entirely for the first time since its 1948 publication in Russian. Alexandrov's treatise begins with an outline of the basic concepts, definitions, and r
Convex Bodies The Brunn Minkowski Theory
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Author : Rolf Schneider
language : en
Publisher: Cambridge University Press
Release Date : 2013-10-31
Convex Bodies The Brunn Minkowski Theory written by Rolf Schneider and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-31 with Mathematics categories.
At the heart of this monograph is the Brunn–Minkowski theory, which can be used to great effect in studying such ideas as volume and surface area and their generalizations. In particular, the notions of mixed volume and mixed area measure arise naturally and the fundamental inequalities that are satisfied by mixed volumes are considered here in detail. The author presents a comprehensive introduction to convex bodies, including full proofs for some deeper theorems. The book provides hints and pointers to connections with other fields and an exhaustive reference list. This second edition has been considerably expanded to reflect the rapid developments of the past two decades. It includes new chapters on valuations on convex bodies, on extensions like the Lp Brunn–Minkowski theory, and on affine constructions and inequalities. There are also many supplements and updates to the original chapters, and a substantial expansion of chapter notes and references.