Euler Systems
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Euler Systems
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Author : Karl Rubin
language : en
Publisher: Princeton University Press
Release Date : 2000-05-21
Euler Systems written by Karl Rubin and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-05-21 with Mathematics categories.
One of the most exciting new subjects in Algebraic Number Theory and Arithmetic Algebraic Geometry is the theory of Euler systems. Euler systems are special collections of cohomology classes attached to p-adic Galois representations. Introduced by Victor Kolyvagin in the late 1980s in order to bound Selmer groups attached to p-adic representations, Euler systems have since been used to solve several key problems. These include certain cases of the Birch and Swinnerton-Dyer Conjecture and the Main Conjecture of Iwasawa Theory. Because Selmer groups play a central role in Arithmetic Algebraic Geometry, Euler systems should be a powerful tool in the future development of the field. Here, in the first book to appear on the subject, Karl Rubin presents a self-contained development of the theory of Euler systems. Rubin first reviews and develops the necessary facts from Galois cohomology. He then introduces Euler systems, states the main theorems, and develops examples and applications. The remainder of the book is devoted to the proofs of the main theorems as well as some further speculations. The book assumes a solid background in algebraic Number Theory, and is suitable as an advanced graduate text. As a research monograph it will also prove useful to number theorists and researchers in Arithmetic Algebraic Geometry.
Euler Systems Am 147 Volume 147
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Author : Karl Rubin
language : en
Publisher: Princeton University Press
Release Date : 2014-09-08
Euler Systems Am 147 Volume 147 written by Karl Rubin and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-08 with Mathematics categories.
One of the most exciting new subjects in Algebraic Number Theory and Arithmetic Algebraic Geometry is the theory of Euler systems. Euler systems are special collections of cohomology classes attached to p-adic Galois representations. Introduced by Victor Kolyvagin in the late 1980s in order to bound Selmer groups attached to p-adic representations, Euler systems have since been used to solve several key problems. These include certain cases of the Birch and Swinnerton-Dyer Conjecture and the Main Conjecture of Iwasawa Theory. Because Selmer groups play a central role in Arithmetic Algebraic Geometry, Euler systems should be a powerful tool in the future development of the field. Here, in the first book to appear on the subject, Karl Rubin presents a self-contained development of the theory of Euler systems. Rubin first reviews and develops the necessary facts from Galois cohomology. He then introduces Euler systems, states the main theorems, and develops examples and applications. The remainder of the book is devoted to the proofs of the main theorems as well as some further speculations. The book assumes a solid background in algebraic Number Theory, and is suitable as an advanced graduate text. As a research monograph it will also prove useful to number theorists and researchers in Arithmetic Algebraic Geometry.
Euler Systems
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Author : Karl Rubin
language : en
Publisher:
Release Date : 2000
Euler Systems written by Karl Rubin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Algebraic number theory categories.
Euler Systems And Their Applications
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Author : Giada Grossi
language : en
Publisher:
Release Date : 2020
Euler Systems And Their Applications written by Giada Grossi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with categories.
On Euler Systems Of Rank R And Their Kolyvagin Systems
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Author :
language : en
Publisher:
Release Date : 2009
On Euler Systems Of Rank R And Their Kolyvagin Systems written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with categories.
Euler Systems And Arithmetic Applications
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Author : Andrew Graham
language : en
Publisher:
Release Date : 2021
Euler Systems And Arithmetic Applications written by Andrew Graham and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with categories.
Passivity Based Control Of Euler Lagrange Systems
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Author : Romeo Ortega
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Passivity Based Control Of Euler Lagrange Systems written by Romeo Ortega 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 2013-06-29 with Technology & Engineering categories.
The essence of this work is the control of electromechanical systems, such as manipulators, electric machines, and power converters. The common thread that links together the results presented here is the passivity property, which is at present in numerous electrical and mechanical systems, and which has great relevance in control engineering at this time. Amongst other topics, the authors cover: Euler-Lagrange Systems, Mechanical Systems, Generalised AC Motors, Induction Motor Control, Robots with AC Drives, and Perspectives and Open Problems. The authors have extensive experience of research and application in the field of control of electromechanical systems, which they have summarised here in this self-contained volume. While written in a strictly mathematical way, it is also elementary, and will be accessible to a wide-ranging audience, including graduate students as well as practitioners and researchers in this field.
Nonlinear Systems And Their Remarkable Mathematical Structures
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Author : Norbert Euler
language : en
Publisher: CRC Press
Release Date : 2019-12-06
Nonlinear Systems And Their Remarkable Mathematical Structures written by Norbert Euler and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-06 with Mathematics categories.
Nonlinear Systems and Their Remarkable Mathematical Structures, Volume 2 is written in a careful pedagogical manner by experts from the field of nonlinear differential equations and nonlinear dynamical systems (both continuous and discrete). This book aims to clearly illustrate the mathematical theories of nonlinear systems and its progress to both non-experts and active researchers in this area. Just like the first volume, this book is suitable for graduate students in mathematics, applied mathematics and engineering sciences, as well as for researchers in the subject of differential equations and dynamical systems. Features Collects contributions on recent advances in the subject of nonlinear systems Aims to make the advanced mathematical methods accessible to the non-experts Suitable for a broad readership including researchers and graduate students in mathematics and applied mathematics
Circular Distributions And Euler Systems
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Author : Soogil Seo
language : en
Publisher:
Release Date : 1999
Circular Distributions And Euler Systems written by Soogil Seo and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.
Exterior Differential Systems And Euler Lagrange Partial Differential Equations
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Author : Robert Bryant
language : en
Publisher: University of Chicago Press
Release Date : 2003-07
Exterior Differential Systems And Euler Lagrange Partial Differential Equations written by Robert Bryant and has been published by University of Chicago Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07 with Mathematics categories.
In Exterior Differential Systems, the authors present the results of their ongoing development of a theory of the geometry of differential equations, focusing especially on Lagrangians and Poincaré-Cartan forms. They also cover certain aspects of the theory of exterior differential systems, which provides the language and techniques for the entire study. Because it plays a central role in uncovering geometric properties of differential equations, the method of equivalence is particularly emphasized. In addition, the authors discuss conformally invariant systems at length, including results on the classification and application of symmetries and conservation laws. The book also covers the Second Variation, Euler-Lagrange PDE systems, and higher-order conservation laws. This timely synthesis of partial differential equations and differential geometry will be of fundamental importance to both students and experienced researchers working in geometric analysis.