Homotopy Of Extremal Problems
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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.
Moduli Of Families Of Curves For Conformal And Quasiconformal Mappings
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Author : Alexander Vasil'ev
language : en
Publisher: Springer
Release Date : 2004-10-20
Moduli Of Families Of Curves For Conformal And Quasiconformal Mappings written by Alexander Vasil'ev and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-20 with Mathematics categories.
The monograph is concerned with the modulus of families of curves on Riemann surfaces and its applications to extremal problems for conformal, quasiconformal mappings, and the extension of the modulus onto Teichmüller spaces. The main part of the monograph deals with extremal problems for compact classes of univalent conformal and quasiconformal mappings. Many of them are grouped around two-point distortion theorems. Montel's functions and functions with fixed angular derivatives are also considered. The last portion of problems is directed to the extension of the modulus varying the complex structure of the underlying Riemann surface that sheds some new light on the metric problems of Teichmüller spaces.
Computational Methods And Function Theory
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Author : Stephan Ruscheweyh
language : en
Publisher: Springer
Release Date : 2006-11-22
Computational Methods And Function Theory written by Stephan Ruscheweyh and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-22 with Mathematics categories.
The volume is devoted to the interaction of modern scientific computation and classical function theory. Many problems in pure and more applied function theory can be tackled using modern computing facilities: numerically as well as in the sense of computer algebra. On the other hand, computer algorithms are often based on complex function theory, and dedicated research on their theoretical foundations can lead to great enhancements in performance. The contributions - original research articles, a survey and a collection of problems - cover a broad range of such problems.
Fully Nonlinear Pdes In Real And Complex Geometry And Optics
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Author : Luca Capogna
language : en
Publisher: Springer
Release Date : 2013-10-07
Fully Nonlinear Pdes In Real And Complex Geometry And Optics written by Luca Capogna and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-07 with Mathematics categories.
The purpose of this CIME summer school was to present current areas of research arising both in the theoretical and applied setting that involve fully nonlinear partial different equations. The equations presented in the school stem from the fields of Conformal Mapping Theory, Differential Geometry, Optics, and Geometric Theory of Several Complex Variables. The school consisted of four courses: Extremal problems for quasiconformal mappings in space by Luca Capogna, Fully nonlinear equations in geometry by Pengfei Guan, Monge-Ampere type equations and geometric optics by Cristian E. Gutiérrez, and On the Levi Monge Ampere equation by Annamaria Montanari.
Geometrical Methods In Variational Problems
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Author : N.A. Bobylov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Geometrical Methods In Variational Problems written by N.A. Bobylov 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.
This self-contained monograph presents methods for the investigation of nonlinear variational problems. These methods are based on geometric and topological ideas such as topological index, degree of a mapping, Morse-Conley index, Euler characteristics, deformation invariant, homotopic invariant, and the Lusternik-Shnirelman category. Attention is also given to applications in optimisation, mathematical physics, control, and numerical methods. Audience: This volume will be of interest to specialists in functional analysis and its applications, and can also be recommended as a text for graduate and postgraduate-level courses in these fields.
Proceedings
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Author : Fred Gross
language : en
Publisher:
Release Date : 1971
Proceedings written by Fred Gross and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Functions categories.
Proceedings Of The Nrl Conference On Classical Function Theory 1970
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Author : United States. Naval Research Office
language : en
Publisher:
Release Date : 1971
Proceedings Of The Nrl Conference On Classical Function Theory 1970 written by United States. Naval Research Office and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with categories.
Proceedings Of The Nrl Conference On Classical Function Theory
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Author : Fred Gross
language : en
Publisher:
Release Date : 1970
Proceedings Of The Nrl Conference On Classical Function Theory written by Fred Gross and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Functions categories.
Fields Medallists Lectures
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Author : Michael Atiyah
language : en
Publisher: World Scientific
Release Date : 1997-10-13
Fields Medallists Lectures written by Michael Atiyah and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-10-13 with Mathematics categories.
Although the Fields Medal does not have the same public recognition as the Nobel Prizes, they share a similar intellectual standing. It is restricted to one field - that of mathematics - and an age limit of 40 has become an accepted tradition. Mathematics has in the main been interpreted as pure mathematics, and this is not so unreasonable since major contributions in some applied areas can be (and have been) recognized with Nobel Prizes. The restriction to 40 years is of marginal significance, since most mathematicians have made their mark long before this age.A list of Fields Medallists and their contributions provides a bird's eye view of mathematics over the past 60 years. It highlights the areas in which, at various times, greatest progress has been made. This volume does not pretend to be comprehensive, nor is it a historical document. On the other hand, it presents contributions from 22 Fields Medallists and so provides a highly interesting and varied picture.The contributions themselves represent the choice of the individual Medallists. In some cases the articles relate directly to the work for which the Fields Medals were awarded. In other cases new articles have been produced which relate to more current interests of the Medallists. This indicates that while Fields Medallists must be under 40 at the time of the award, their mathematical development goes well past this age. In fact the age limit of 40 was chosen so that young mathematicians would be encouraged in their future work.The Fields Medallists' Lectures is now available on CD-ROM. Sections can be accessed at the touch of a button, and similar topics grouped together using advanced keyword searches.
Fields Medallists Lectures 2nd Edition
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Author : Michael Atiyah
language : en
Publisher: World Scientific
Release Date : 2003-11-03
Fields Medallists Lectures 2nd Edition written by Michael Atiyah and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-11-03 with Mathematics categories.
Although the Fields Medal does not have the same public recognition as the Nobel Prizes, they share a similar intellectual standing. It is restricted to one field — that of mathematics — and an age limit of 40 has become an accepted tradition. Mathematics has in the main been interpreted as pure mathematics, and this is not so unreasonable since major contributions in some applied areas can be (and have been) recognized with Nobel Prizes.A list of Fields Medallists and their contributions provides a bird's-eye view of mathematics over the past 60 years. It highlights the areas in which, at various times, greatest progress has been made. This volume does not pretend to be comprehensive, nor is it a historical document. On the other hand, it presents contributions from Fields Medallists and so provides a highly interesting and varied picture.The second edition of Fields Medallists' Lectures features additional contributions from the following Medallists: Kunihiko Kodaira (1954), Richard E Borcherds (1998), William T Gowers (1998), Maxim Kontsevich (1998), Curtis T McMullen (1998) and Vladimir Voevodsky (2002).