Theory Of Extremal Problems
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Theory Of Extremal Problems
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Author :
language : en
Publisher: Elsevier
Release Date : 2009-06-15
Theory Of Extremal Problems written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-15 with Mathematics categories.
Theory of Extremal Problems
Fundamental Principles In The Theory Of Extremal Problems
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Author : Vladimir Mikhaĭlovich Tikhomirov
language : en
Publisher:
Release Date : 1986-11-17
Fundamental Principles In The Theory Of Extremal Problems written by Vladimir Mikhaĭlovich Tikhomirov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-11-17 with Mathematics categories.
This monograph deals with the general principles of the theory of extremal problems. The author discusses Lagrange's principle, the duality principle, the complete elimination of restrictions, the Hamilton-Jacobi principle, the extension of extremal problems, and the invariance principle.
Fundamental Principles Of The Theory Of Extremal Problems
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Author : Vladimir Mikhailovich Tikhomirov
language : en
Publisher:
Release Date : 1986
Fundamental Principles Of The Theory Of Extremal Problems written by Vladimir Mikhailovich Tikhomirov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with categories.
Homotopy Of Extremal Problems
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Author : Stanislav V. Emelyanov
language : en
Publisher: Walter de Gruyter
Release Date : 2011-12-22
Homotopy Of Extremal Problems written by Stanislav V. Emelyanov and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-22 with Mathematics categories.
This monograph provides a thorough treatment of parameter-dependent extremal problems with local minimum values that remain unchanged under changes of the parameter. The authors consider the theory as well the practical treatment of those problems, both in finite-dimensional as well as in infinite-dimensional spaces. Various applications are considered, e.g., variational calculus, control theory and bifurcations theory. Thorough treatment of parameter-dependent extremal problems with local minimum values. Includes many applications, e.g., variational calculus, control theory and bifurcations theory. Intended for specialists in the field of nonlinear analysis and its applications as well as for students specializing in these subjects.
The Theory Of Extremal Problems For Univalent Functions Of Class S
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Author : Konstantin Ivanovich Babenko
language : en
Publisher: American Mathematical Soc.
Release Date : 1975
The Theory Of Extremal Problems For Univalent Functions Of Class S written by Konstantin Ivanovich Babenko and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Mathematics categories.
Discusses univalent functions and extremal problems.
Extremal Problems Of The Geometric Theory Of Functions
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Author : I︠U︡. E. Alenit︠s︡yn
language : en
Publisher: American Mathematical Soc.
Release Date : 1969
Extremal Problems Of The Geometric Theory Of Functions written by I︠U︡. E. Alenit︠s︡yn and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Mathematics categories.
"The present collection consists of papers on various problems in the geometric theory of functions of a complex variable." -- Preface.
Extremal Problems In Interpolation Theory Whitney Besicovitch Coverings And Singular Integrals
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Author : Sergey Kislyakov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-10-29
Extremal Problems In Interpolation Theory Whitney Besicovitch Coverings And Singular Integrals written by Sergey Kislyakov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-29 with Mathematics categories.
In this book we suggest a unified method of constructing near-minimizers for certain important functionals arising in approximation, harmonic analysis and ill-posed problems and most widely used in interpolation theory. The constructions are based on far-reaching refinements of the classical Calderón–Zygmund decomposition. These new Calderón–Zygmund decompositions in turn are produced with the help of new covering theorems that combine many remarkable features of classical results established by Besicovitch, Whitney and Wiener. In many cases the minimizers constructed in the book are stable (i.e., remain near-minimizers) under the action of Calderón–Zygmund singular integral operators. The book is divided into two parts. While the new method is presented in great detail in the second part, the first is mainly devoted to the prerequisites needed for a self-contained presentation of the main topic. There we discuss the classical covering results mentioned above, various spectacular applications of the classical Calderón–Zygmund decompositions, and the relationship of all this to real interpolation. It also serves as a quick introduction to such important topics as spaces of smooth functions or singular integrals.
Extremal Problems For Finite Sets
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Author : Peter Frankl
language : en
Publisher: American Mathematical Soc.
Release Date : 2018-08-15
Extremal Problems For Finite Sets written by Peter Frankl and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-15 with Extremal problems categories.
One of the great appeals of Extremal Set Theory as a subject is that the statements are easily accessible without a lot of mathematical background, yet the proofs and ideas have applications in a wide range of fields including combinatorics, number theory, and probability theory. Written by two of the leading researchers in the subject, this book is aimed at mathematically mature undergraduates, and highlights the elegance and power of this field of study. The first half of the book provides classic results with some new proofs including a complete proof of the Ahlswede-Khachatrian theorem as well as some recent progress on the Erdos matching conjecture. The second half presents some combinatorial structural results and linear algebra methods including the Deza-Erdos-Frankl theorem, application of Rodl's packing theorem, application of semidefinite programming, and very recent progress (obtained in 2016) on the Erdos-Szemeredi sunflower conjecture and capset problem. The book concludes with a collection of challenging open problems.
Lectures On Mathematical Theory Of Extremum Problems
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Author : I. V. Girsanov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Lectures On Mathematical Theory Of Extremum Problems written by I. V. Girsanov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The author of this book, Igor' Vladimirovich Girsanov, was one of the first mathematicians to study general extremum problems and to realize the feasibility and desirability of a unified theory of extremal problems, based on a functional analytic approach. He actively advocated this view, and his special course, given at the Faculty of Mechanics and Mathematics of the Moscow State University in 1963 and 1964, was apparently the first systematic exposition of a unified approach to the theory of extremal problems. This approach was based on the ideas of Dubovitskii and Milyutin [1]. The general theory of extremal problems has developed so intensely during the past few years that its basic concepts may now be considered finalized. Nevertheless, as yet the basic results of this new field of mathematics have not been presented in a form accessible to a wide range of readers. (The profound paper of Dubovitskii and Milyutin [2] can hardly be recommended for a first study of the theory, since, in particular, it does not contain proofs of the fundamental theorems. ) Girsanov's book fills this gap. It contains a systematic exposition of the general principles underlying the derivation of necessary and sufficient conditions for an extremum, in a wide variety of problems. Numerous applications are given to specific extremal problems. The main material is preceded by an introductory section in which all prerequisites from functional analysis are presented.
Lectures On Mathematical Theory Of Extremum Problems
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Author : Igor Vladimirovich Girsanov
language : en
Publisher:
Release Date : 1972
Lectures On Mathematical Theory Of Extremum Problems written by Igor Vladimirovich Girsanov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Functional analysis categories.
The author of this book, Igor' Vladimirovich Girsanov, was one of the first mathematicians to study general extremum problems and to realize the feasibility and desirability of a unified theory of extremal problems, based on a functional analytic approach. He actively advocated this view, and his special course, given at the Faculty of Mechanics and Mathematics of the Moscow State University in 1963 and 1964, was apparently the first systematic exposition of a unified approach to the theory of extremal problems. This approach was based on the ideas of Dubovitskii and Milyutin [1]. The general theory of extremal problems has developed so intensely during the past few years that its basic concepts may now be considered finalized. Nevertheless, as yet the basic results of this new field of mathematics have not been presented in a form accessible to a wide range of readers. (The profound paper of Dubovitskii and Milyutin [2] can hardly be recommended for a first study of the theory, since, in particular, it does not contain proofs of the fundamental theorems. ) Girsanov's book fills this gap. It contains a systematic exposition of the general principles underlying the derivation of necessary and sufficient conditions for an extremum, in a wide variety of problems. Numerous applications are given to specific extremal problems. The main material is preceded by an introductory section in which all prerequisites from functional analysis are presented.