Essential Stability Theory
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Essential Stability Theory
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Author : Steven Buechler
language : en
Publisher: Cambridge University Press
Release Date : 2017-03-02
Essential Stability Theory written by Steven Buechler and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-02 with Mathematics categories.
Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. Stability theory was introduced and matured in the 1960s and 1970s. Today stability theory influences and is influenced by number theory, algebraic group theory, Riemann surfaces, and representation theory of modules. There is little model theory today that does not involve the methods of stability theory. In this volume, the fourth publication in the Perspectives in Logic series, Steven Buechler bridges the gap between a first-year graduate logic course and research papers in stability theory. The book prepares the student for research in any of today's branches of stability theory, and gives an introduction to classification theory with an exposition of Morley's Categoricity Theorem.
Introduction To The Theory Of Stability
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Author : David R. Merkin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Introduction To The Theory Of Stability written by David R. Merkin 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.
Many books on stability theory of motion have been published in various lan guages, including English. Most of these are comprehensive monographs, with each one devoted to a separate complicated issue of the theory. Generally, the examples included in such books are very interesting from the point of view of mathematics, without necessarily having much practical value. Usually, they are written using complicated mathematical language, so that except in rare cases, their content becomes incomprehensible to engineers, researchers, students, and sometimes even to professors at technical universities. The present book deals only with those issues of stability of motion that most often are encountered in the solution of scientific and technical problems. This allows the author to explain the theory in a simple but rigorous manner without going into minute details that would be of interest only to specialists. Also, using appropriate examples, he demonstrates the process of investigating the stability of motion from the formulation of a problem and obtaining the differential equations of perturbed motion to complete analysis and recommendations. About one fourth of the examples are from various areas of science and technology. Moreover, some of the examples and the problems have an independent value in that they could be applicable to the design of various mechanisms and devices. The present translation is based on the third Russian edition of 1987.
Ordinary Differential Equations And Stability Theory
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Author : David A. Sanchez
language : en
Publisher: Courier Dover Publications
Release Date : 2019-09-18
Ordinary Differential Equations And Stability Theory written by David A. Sanchez and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-18 with Mathematics categories.
This brief modern introduction to the subject of ordinary differential equations emphasizes stability theory. Concisely and lucidly expressed, it is intended as a supplementary text for advanced undergraduates or beginning graduate students who have completed a first course in ordinary differential equations. The author begins by developing the notions of a fundamental system of solutions, the Wronskian, and the corresponding fundamental matrix. Subsequent chapters explore the linear equation with constant coefficients, stability theory for autonomous and nonautonomous systems, and the problems of the existence and uniqueness of solutions and related topics. Problems at the end of each chapter and two Appendixes on special topics enrich the text.
Fundamentals Of Stability Theory
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Author : John T. Baldwin
language : en
Publisher: Cambridge University Press
Release Date : 2017-03-02
Fundamentals Of Stability Theory written by John T. Baldwin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-02 with Mathematics categories.
This book introduces first order stability theory, organized around the spectrum problem, with complete proofs of the Vaught conjecture for ω-stable theories.
Stability And Transition In Shear Flows
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Author : Peter J. Schmid
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Stability And Transition In Shear Flows written by Peter J. Schmid 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 Science categories.
The field of hydrodynamic stability has a long history, going back to Rey nolds and Lord Rayleigh in the late 19th century. Because of its central role in many research efforts involving fluid flow, stability theory has grown into a mature discipline, firmly based on a large body of knowledge and a vast body of literature. The sheer size of this field has made it difficult for young researchers to access this exciting area of fluid dynamics. For this reason, writing a book on the subject of hydrodynamic stability theory and transition is a daunting endeavor, especially as any book on stability theory will have to follow into the footsteps of the classical treatises by Lin (1955), Betchov & Criminale (1967), Joseph (1971), and Drazin & Reid (1981). Each of these books has marked an important development in stability theory and has laid the foundation for many researchers to advance our understanding of stability and transition in shear flows.
Elementary Stability And Bifurcation Theory
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Author : Gerard Iooss
language : en
Publisher: Springer
Release Date : 2012-10-08
Elementary Stability And Bifurcation Theory written by Gerard Iooss and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-08 with Mathematics categories.
This substantially revised second edition teaches the bifurcation of asymptotic solutions to evolution problems governed by nonlinear differential equations. Written not just for mathematicians, it appeals to the widest audience of learners, including engineers, biologists, chemists, physicists and economists. For this reason, it uses only well-known methods of classical analysis at foundation level, while the applications and examples are specially chosen to be as varied as possible.
Stability Theory Of Switched Dynamical Systems
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Author : Zhendong Sun
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-01-06
Stability Theory Of Switched Dynamical Systems written by Zhendong Sun 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 2011-01-06 with Technology & Engineering categories.
There are plenty of challenging and interesting problems open for investigation in the field of switched systems. Stability issues help to generate many complex nonlinear dynamic behaviors within switched systems. The authors present a thorough investigation of stability effects on three broad classes of switching mechanism: arbitrary switching where stability represents robustness to unpredictable and undesirable perturbation, constrained switching, including random (within a known stochastic distribution), dwell-time (with a known minimum duration for each subsystem) and autonomously-generated (with a pre-assigned mechanism) switching; and designed switching in which a measurable and freely-assigned switching mechanism contributes to stability by acting as a control input. For each of these classes this book propounds: detailed stability analysis and/or design, related robustness and performance issues, connections to other control problems and many motivating and illustrative examples.
A Course On Basic Model Theory
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Author : Haimanti Sarbadhikari
language : en
Publisher: Springer
Release Date : 2017-09-05
A Course On Basic Model Theory written by Haimanti Sarbadhikari and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-05 with Mathematics categories.
This self-contained book is an exposition of the fundamental ideas of model theory. It presents the necessary background from logic, set theory and other topics of mathematics. Only some degree of mathematical maturity and willingness to assimilate ideas from diverse areas are required. The book can be used for both teaching and self-study, ideally over two semesters. It is primarily aimed at graduate students in mathematical logic who want to specialise in model theory. However, the first two chapters constitute the first introduction to the subject and can be covered in one-semester course to senior undergraduate students in mathematical logic. The book is also suitable for researchers who wish to use model theory in their work.
Stable Domination And Independence In Algebraically Closed Valued Fields
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Author : Deirdre Haskell
language : en
Publisher: Cambridge University Press
Release Date : 2008
Stable Domination And Independence In Algebraically Closed Valued Fields written by Deirdre Haskell and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
This book presents research in model theory and its applications to valued fields.
International Regimes And World Order
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Author : Dr. Anil Kumar Singh
language : en
Publisher: K.K. Publications
Release Date : 2021-09-11
International Regimes And World Order written by Dr. Anil Kumar Singh and has been published by K.K. Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-11 with Political Science categories.
Some scholars emphasize the importance of a hegemon in creating a regime and giving it momentum. This is called the hegemonic stability theory. The United States, for example, has been instrumental in creating the Bretton Woods system, with organizations such as the World Bank and the International Monetary Fund. The rationale is that a hegemon, being the dominant actor in international politics and economics, often stands to gain the most from the creation of global standards. For instance, while other countries might benefit from it, U.S. companies like Microsoft, Universal Studios, and Pfizer would be among the greatest beneficiaries of a strict global intellectual property regime. As the hegemons use their power to create regimes, their withdrawal similarly can also threaten the effectiveness of regimes. Regimes serve crucial functional needs in international relations. Powerful regimes are considered by some scholars as independent actors in international politics. Although ultimately states create and sustain regimes, once institutionalized, regimes can exert influence in world politics that is practically independent of state sovereignty. The International Atomic Energy Agency, for instance, has certain rights, given to it by states themselves, to monitor nuclear energy activity in countries. Insofar as they are organized by means of treaties among countries, regimes provide an important source of formal international law. Regimes themselves can also be subjects of international law. This book tries to unravel that ideology and to create an alternative vision of a just and democratic world over. Contents: • International Regime • Theories of International Regimes • Applying Regime Theories • Regime Change • State Cartel Theory • Critiques of the Theory of International Regimes • Conspiracy Theories • World-systems Theory • New International Economic Order • Unchanged Role of Nation-States