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Mathematical Survey Lectures 1943 2004


Mathematical Survey Lectures 1943 2004
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Mathematical Survey Lectures 1943 2004


Mathematical Survey Lectures 1943 2004
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Author : Beno Eckmann
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-10-11

Mathematical Survey Lectures 1943 2004 written by Beno Eckmann 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 2006-10-11 with Mathematics categories.


This collection of survey lectures in mathematics traces the career of Beno Eckmann, whose work ranges across a broad spectrum of mathematical concepts from topology through homological algebra to group theory. One of our most influential living mathematicians, Eckmann has been associated for nearly his entire professional life with the Swiss Federal Technical University (ETH) at Zurich, as student, lecturer, professor, and professor emeritus.



A Celebration Of The Mathematical Legacy Of Raoul Bott


A Celebration Of The Mathematical Legacy Of Raoul Bott
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Author : Peter Robert Kotiuga
language : en
Publisher: American Mathematical Soc.
Release Date : 2010-01-01

A Celebration Of The Mathematical Legacy Of Raoul Bott written by Peter Robert Kotiuga 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 2010-01-01 with Mathematics categories.




Observer Design For Nonlinear Systems


Observer Design For Nonlinear Systems
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Author : Pauline Bernard
language : en
Publisher: Springer
Release Date : 2019-02-01

Observer Design For Nonlinear Systems written by Pauline Bernard and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-01 with Technology & Engineering categories.


Observer Design for Nonlinear Systems deals with the design of observers for the large class of nonlinear continuous-time models. It contains a unified overview of a broad range of general designs, including the most recent results and their proofs, such as the homogeneous and nonlinear Luenberger design techniques. The book starts from the observation that most observer designs consist in looking for a reversible change of coordinates transforming the expression of the system dynamics into some specific structures, called normal forms, for which an observer is known. Therefore, the problem of observer design is broken down into three sub-problems: • What are the available normal forms and their associated observers?• Under which conditions can a system be transformed into one of these forms and through which transformation? • How can an inverse transformation that recovers an estimate in the given initial coordinates be achieved? This organisation allows the book to structure results within a united framework, highlighting the importance of the choice of the observer coordinates for nonlinear systems. In particular, the first part covers state-affine forms with their Luenberger or Kalman designs, and triangular forms with their homogeneous high-gain designs. The second part addresses the transformation into linear forms through linearization by output injection or in the context of a nonlinear Luenberger design, and into triangular forms under the well-known uniform and differential observability assumptions. Finally, the third part presents some recently developed methods for avoiding the numerically challenging inversion of the transformation. Observer Design for Nonlinear Systems addresses students and researchers looking for an introduction to or an overview of the state of the art in observer design for nonlinear continuous-time dynamical systems. The book gathers the most important results focusing on a large and diffuse literature on general observer designs with global convergence, and is a valuable source of information for academics and practitioners.



Mathematical Reviews


Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2008

Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.




Lectures On Sl 2 C Modules


Lectures On Sl 2 C Modules
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Author : Mazorchuk Volodymyr
language : en
Publisher: World Scientific Publishing Company
Release Date : 2009-12-04

Lectures On Sl 2 C Modules written by Mazorchuk Volodymyr and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-04 with Mathematics categories.


This book is directed primarily at undergraduate and postgraduate students interested to get acquainted with the representation theory of Lie algebras. The book treats the case of the smallest simple Lie algebra, namely, the Lie algebra sl_2. It contains classical contents including the description of all finite-dimensional modules and an introduction to the universal enveloping algebras with its primitive ideals, alongside non-classical contents including the description of all simple weight modules, the category of all weight modules, a detailed description of the category O, and especially, a description of all simple modules. The book also contains an account of a new research direction: the categorification of simple finite-dimensional modules./a



Laredo Lectures On Orthogonal Polynomials And Special Functions


Laredo Lectures On Orthogonal Polynomials And Special Functions
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Author : Renato Alvarez-Nodarse
language : en
Publisher: Nova Publishers
Release Date : 2004

Laredo Lectures On Orthogonal Polynomials And Special Functions written by Renato Alvarez-Nodarse and has been published by Nova Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.


This new book presents research in orthogonal polynomials and special functions. Recent developments in the theory and accomplishments of the last decade are pointed out and directions for research in the future are identified. The topics covered include matrix orthogonal polynomials, spectral theory and special functions, Asymptotics for orthogonal polynomials via Riemann-Hilbert methods, Polynomial wavelets and Koornwinder polynomials.



The 1 2 3 Of Modular Forms


The 1 2 3 Of Modular Forms
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Author : Jan Hendrik Bruinier
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-02-10

The 1 2 3 Of Modular Forms written by Jan Hendrik Bruinier 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 2008-02-10 with Mathematics categories.


This book grew out of three series of lectures given at the summer school on "Modular Forms and their Applications" at the Sophus Lie Conference Center in Nordfjordeid in June 2004. The first series treats the classical one-variable theory of elliptic modular forms. The second series presents the theory of Hilbert modular forms in two variables and Hilbert modular surfaces. The third series gives an introduction to Siegel modular forms and discusses a conjecture by Harder. It also contains Harder's original manuscript with the conjecture. Each part treats a number of beautiful applications.



Algebras Rings And Modules Volume 2


Algebras Rings And Modules Volume 2
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Author : Michiel Hazewinkel
language : en
Publisher: CRC Press
Release Date : 2017-04-11

Algebras Rings And Modules Volume 2 written by Michiel Hazewinkel and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-11 with Mathematics categories.


The theory of algebras, rings, and modules is one of the fundamental domains of modern mathematics. General algebra, more specifically non-commutative algebra, is poised for major advances in the twenty-first century (together with and in interaction with combinatorics), just as topology, analysis, and probability experienced in the twentieth century. This is the second volume of Algebras, Rings and Modules: Non-commutative Algebras and Rings by M. Hazewinkel and N. Gubarenis, a continuation stressing the more important recent results on advanced topics of the structural theory of associative algebras, rings and modules.



Surveys In Differential Algebraic Equations Ii


Surveys In Differential Algebraic Equations Ii
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Author : Achim Ilchmann
language : en
Publisher: Springer
Release Date : 2014-12-04

Surveys In Differential Algebraic Equations Ii written by Achim Ilchmann and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-04 with Mathematics categories.


The present volume comprises survey articles on various fields of Differential-Algebraic Equations (DAEs), which have widespread applications in controlled dynamical systems, especially in mechanical and electrical engineering and a strong relation to (ordinary) differential equations. The individual chapters provide reviews, presentations of the current state of research and new concepts in - Observers for DAEs - DAEs in chemical processes - Optimal control of DAEs - DAEs from a functional-analytic viewpoint - Algebraic methods for DAEs The results are presented in an accessible style, making this book suitable not only for active researchers but also for graduate students (with a good knowledge of the basic principles of DAEs) for self-study.



Weighted Shifts On Directed Trees


Weighted Shifts On Directed Trees
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Author : Zenon Jan Jablónski
language : en
Publisher: American Mathematical Soc.
Release Date : 2012

Weighted Shifts On Directed Trees written by Zenon Jan Jablónski 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 2012 with Mathematics categories.


A new class of (not necessarily bounded) operators related to (mainly infinite) directed trees is introduced and investigated. Operators in question are to be considered as a generalization of classical weighted shifts, on the one hand, and of weighted adjacency operators, on the other; they are called weighted shifts on directed trees. The basic properties of such operators, including closedness, adjoints, polar decomposition and moduli are studied. Circularity and the Fredholmness of weighted shifts on directed trees are discussed. The relationships between domains of a weighted shift on a directed tree and its adjoint are described. Hyponormality, cohyponormality, subnormality and complete hyperexpansivity of such operators are entirely characterized in terms of their weights. Related questions that arose during the study of the topic are solved as well.