Fundamental Principles In The Theory Of Extremal Problems
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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.
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.
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
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.
Classical Principles And Optimization Problems
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Author : B.S. Razumikhin
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Classical Principles And Optimization Problems written by B.S. Razumikhin 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 2013-03-09 with Mathematics categories.
Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, tbat they can't see the problem. perbaps you will find the fina\ question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van GuJik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such newemerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.
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.
Nonlinear Analysis Theory And Methods
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Author : Nikolaos S. Papageorgiou
language : en
Publisher: Springer
Release Date : 2019-02-26
Nonlinear Analysis Theory And Methods written by Nikolaos S. Papageorgiou and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-26 with Mathematics categories.
This book emphasizes those basic abstract methods and theories that are useful in the study of nonlinear boundary value problems. The content is developed over six chapters, providing a thorough introduction to the techniques used in the variational and topological analysis of nonlinear boundary value problems described by stationary differential operators. The authors give a systematic treatment of the basic mathematical theory and constructive methods for these classes of nonlinear equations as well as their applications to various processes arising in the applied sciences. They show how these diverse topics are connected to other important parts of mathematics, including topology, functional analysis, mathematical physics, and potential theory. Throughout the book a nice balance is maintained between rigorous mathematics and physical applications. The primary readership includes graduate students and researchers in pure and applied nonlinear analysis.
Nonlinear Functional Analysis And Its Applications
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Author : E. Zeidler
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-11
Nonlinear Functional Analysis And Its Applications written by E. Zeidler 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 2013-12-11 with Science categories.
As long as a branch of knowledge offers an abundance of problems, it is full of vitality. David Hilbert Over the last 15 years I have given lectures on a variety of problems in nonlinear functional analysis and its applications. In doing this, I have recommended to my students a number of excellent monographs devoted to specialized topics, but there was no complete survey-type exposition of nonlinear functional analysis making available a quick survey to the wide range of readers including mathematicians, natural scientists, and engineers who have only an elementary knowledge of linear functional analysis. I have tried to close this gap with my five-part lecture notes, the first three parts of which have been published in the Teubner-Texte series by Teubner-Verlag, Leipzig, 1976, 1977, and 1978. The present English edition was translated from a completely rewritten manuscript which is significantly longer than the original version in the Teubner-Texte series. The material is organized in the following way: Part I: Fixed Point Theorems. Part II: Monotone Operators. Part III: Variational Methods and Optimization. Parts IV jV: Applications to Mathematical Physics. The exposition is guided by the following considerations: (a) What are the supporting basic ideas and what intrinsic interrelations exist between them? (/3) In what relation do the basic ideas stand to the known propositions of classical analysis and linear functional analysis? ( y) What typical applications are there? Vll Preface viii Special emphasis is placed on motivation.
Extremal Properties Of Polynomials And Splines
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Author : Nikolaĭ Pavlovich Korneĭchuk
language : en
Publisher: Nova Publishers
Release Date : 1996
Extremal Properties Of Polynomials And Splines written by Nikolaĭ Pavlovich Korneĭchuk and has been published by Nova Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
Extremal Properties of Polynomials & Splines