Handbook Of Dynamical Systems 1 Vol
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Handbook Of Dynamical Systems
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Author : Boris Hasselblatt
language : en
Publisher: North Holland
Release Date : 2002-02-21
Handbook Of Dynamical Systems written by Boris Hasselblatt and has been published by North Holland this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-02-21 with Mathematics categories.
This handbook is volume II in a series collecting mathematical state-of-the-art surveys in the field of dynamical systems. Much of this field has developed from interactions with other areas of science, and this volume shows how concepts of dynamical systems further the understanding of mathematical issues that arise in applications. Although modeling issues are addressed, the central theme is the mathematically rigorous investigation of the resulting differential equations and their dynamic behavior. However, the authors and editors have made an effort to ensure readability on a non-technical level for mathematicians from other fields and for other scientists and engineers. The eighteen surveys collected here do not aspire to encyclopedic completeness, but present selected paradigms. The surveys are grouped into those emphasizing finite-dimensional methods, numerics, topological methods, and partial differential equations. Application areas include the dynamics of neural networks, fluid flows, nonlinear optics, and many others. While the survey articles can be read independently, they deeply share recurrent themes from dynamical systems. Attractors, bifurcations, center manifolds, dimension reduction, ergodicity, homoclinicity, hyperbolicity, invariant and inertial manifolds, normal forms, recurrence, shift dynamics, stability, to name just a few, are ubiquitous dynamical concepts throughout the articles.
Handbook Of Dynamical Systems 1 Vol
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Author :
language : en
Publisher:
Release Date : 2002
Handbook Of Dynamical Systems 1 Vol written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with categories.
Oxford Users Guide To Mathematics
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Author : Eberhard Zeidler
language : en
Publisher: Oxford University Press, USA
Release Date : 2004-08-19
Oxford Users Guide To Mathematics written by Eberhard Zeidler and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-08-19 with Business & Economics categories.
The Oxford Users' Guide to Mathematics is one of the leading handbooks on mathematics available. It presents a comprehensive modern picture of mathematics and emphasises the relations between the different branches of mathematics, and the applications of mathematics in engineering and the natural sciences. The Oxford User's Guide covers a broad spectrum of mathematics starting with the basic material and progressing on to more advanced topics that have come to the fore in the last few decades. The book is organised into mathematical sub-disciplines including analysis, algebra, geometry, foundations of mathematics, calculus of variations and optimisation, theory of probability and mathematical statistics, numerical mathematics and scientific computing, and history of mathematics. The book is supplemented by numerous tables on infinite series, special functions, integrals, integral transformations, mathematical statistics, and fundamental constants in physics. It also includes a comprehensive bibliography of key contemporary literature as well as an extensive glossary and index. The wealth of material, reaching across all levels and numerous sub-disciplines, makes The Oxford User's Guide to Mathematics an invaluable reference source for students of engineering, mathematics, computer science, and the natural sciences, as well as teachers, practitioners, and researchers in industry and academia.
Quantum Field Theory I Basics In Mathematics And Physics
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Author : Eberhard Zeidler
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-04-18
Quantum Field Theory I Basics In Mathematics And Physics written by Eberhard 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 2007-04-18 with Science categories.
This is the first volume of a modern introduction to quantum field theory which addresses both mathematicians and physicists, at levels ranging from advanced undergraduate students to professional scientists. The book bridges the acknowledged gap between the different languages used by mathematicians and physicists. For students of mathematics the author shows that detailed knowledge of the physical background helps to motivate the mathematical subjects and to discover interesting interrelationships between quite different mathematical topics. For students of physics, fairly advanced mathematics is presented, which goes beyond the usual curriculum in physics.
Stability Of Dynamical Systems
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Author : Xiaoxin Liao
language : en
Publisher: Elsevier
Release Date : 2007-08-01
Stability Of Dynamical Systems written by Xiaoxin Liao and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08-01 with Mathematics categories.
The main purpose of developing stability theory is to examine dynamic responses of a system to disturbances as the time approaches infinity. It has been and still is the object of intense investigations due to its intrinsic interest and its relevance to all practical systems in engineering, finance, natural science and social science. This monograph provides some state-of-the-art expositions of major advances in fundamental stability theories and methods for dynamic systems of ODE and DDE types and in limit cycle, normal form and Hopf bifurcation control of nonlinear dynamic systems. - Presents comprehensive theory and methodology of stability analysis - Can be used as textbook for graduate students in applied mathematics, mechanics, control theory, theoretical physics, mathematical biology, information theory, scientific computation - Serves as a comprehensive handbook of stability theory for practicing aerospace, control, mechanical, structural, naval and civil engineers
Boolean Systems
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Author : Serban E. Vlad
language : en
Publisher: Elsevier
Release Date : 2023-01-06
Boolean Systems written by Serban E. Vlad and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-06 with Mathematics categories.
The Boolean functions may be iterated either asynchronously, when their coordinates are computed independently of each other, or synchronously, when their coordinates are computed at the same time. In Boolean Systems: Topics in Asynchronicity, a book addressed to mathematicians and computer scientists interested in Boolean systems and their use in modelling, author Serban E. Vlad presents a consistent and original mathematical theory of the discrete-time Boolean asynchronous systems. The purpose of the book is to set forth the concepts of such a theory, resulting from the synchronous Boolean system theory and mostly from the synchronous real system theory, by analogy, and to indicate the way in which known synchronous deterministic concepts generate new asynchronous nondeterministic concepts. The reader will be introduced to the dependence on the initial conditions, periodicity, path-connectedness, topological transitivity, and chaos. A property of major importance is invariance, which is present in five versions. In relation to it, the reader will study the maximal invariant subsets, the minimal invariant supersets, the minimal invariant subsets, connectedness, separation, the basins of attraction, and attractors. The stability of the systems and their time-reversal symmetry end the topics that refer to the systems without input. The rest of the book is concerned with input systems. The most consistent chapters of this part of the book refer to the fundamental operating mode and to the combinational systems (systems without feedback). The chapter Wires, Gates, and Flip-Flops presents a variety of applications. The first appendix addresses the issue of continuous time, and the second one sketches the important theory of Daizhan Cheng, which is put in relation to asynchronicity. The third appendix is a bridge between asynchronicity and the symbolic dynamics of Douglas Lind and Brian Marcus. - Presents a consistent and original theory of the discrete-time Boolean asynchronous systems, which are useful for mathematicians and computer scientists interested in Boolean Networks, dynamical systems, and modeling. - Studies the flows and equations of evolution, nullclines, dependence on initial conditions, periodicity, path-connectedness, topological transitivity, chaos, nonwandering points, invariance, connectedness, and separation, as well as the basins of attraction, attractors, stability, and time-reversal symmetry. - Explains the fundamental operating mode of the input systems and the combinational systems (systems without feedback). - Includes a chapter of applications of the Boolean systems and their modeling techniques. - Makes use of the unbounded delay model of computation of the Boolean functions.
Proceedings Of The St Petersburg Mathematical Society Volume Xiv
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Author : Sankt-Peterburgskoe matematicheskoe obshchestvo
language : en
Publisher: American Mathematical Soc.
Release Date : 2009
Proceedings Of The St Petersburg Mathematical Society Volume Xiv written by Sankt-Peterburgskoe matematicheskoe obshchestvo 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 2009 with Mathematics categories.
Contains articles on analysis, probability, partial differential operators, frames, and other areas of mathematics. This volume also contains a comprehensive article about the classification of pseudo-regular convex polyhedra. It is suitable for a broad group of graduate students and researchers interested in the topics presented here.
The Oxford Handbook Of Music Performance Volume 1
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Author : Gary McPherson
language : en
Publisher: Oxford University Press
Release Date : 2021-12-24
The Oxford Handbook Of Music Performance Volume 1 written by Gary McPherson and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-24 with Music categories.
The two-volume Oxford Handbook of Music Performance provides a resource that musicians, scholars and educators will use as the most important and authoritative overview of work within the areas of music psychology and performance science. The 80 experts from 13 countries who prepared the 53 chapters in this handbook are leaders in the fields of music psychology, performance science, musicology, psychology, education and music education. Chapters in the Handbook provide a broad coverage of the area with considerable expansion of the topics that are normally covered in a resource of this type. Designed around eight distinct sections - Development and Learning, Proficiencies, Performance Practices, Psychology, Enhancements, Health & Wellbeing, Science, and Innovations - the range and scope of The Oxford Handbook of Music Performance is much wider than other publications through the inclusion of chapters from related disciplines such as performance science (e.g., optimizing performance, mental techniques, talent development in non-music areas), and education (e.g., human development, motivation, learning and teaching styles) as well as the attention given to emerging critical issues in the field (e.g., wellbeing, technology, gender, diversity, inclusion, identity, resilience and buoyancy, diseases, and physical and mental disabilities). Within each chapter, authors have selected what they consider to be the most important scientific and artistic material relevant to their topic. They begin their chapters by surveying theoretical views on each topic and then, in the final part of the chapter, highlight practical implications of the literature that performers will be able to apply within their daily musical lives.
Handbook Of Schizophrenia Spectrum Disorders Volume I
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Author : Michael S Ritsner
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-04-06
Handbook Of Schizophrenia Spectrum Disorders Volume I written by Michael S Ritsner 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 2011-04-06 with Science categories.
A few disorders have some of the same symptoms as schizophrenia including schizoaffective disorders, schizophreniform disorder, schizotypal and schizoid personality disorders, delusional disorder, and autism (schizophrenia spectrum disorders). Since the 2000 there has been significant progress in our understanding of the early presentations, assessment, suspected neuropathology, and treatment of these disorders. Recent technological breakthroughs in basic sciences hold promise for advancing our understanding of the pathophysiology of schizophrenia spectrum disorders. This collective monograph reviewers recent researches regarding the origins, onset, course, and outcome of schizophrenia spectrum disorders. In particular, this book will be illustrate new developments in terms of conceptual models, and research methodology, genetics and genomics, brain imaging and neurochemical studies, neurophysiology and information processing in schizophrenia spectrum disorders patients. Also will be highlighted new developments in our understanding of the childhood psychosis, prodromal and first-episode states, in treatment and rehabilitation. Thus, the purpose of this book is to provide up-to-date overview of the rapid advances made in the clinical and basic science studies supporting our understanding of the relationship between cerebral processes and clinical, cognitive and other presentations of the schizophrenia spectrum disorders. In addition, this book aims to monitor important research developments, which may be relevant to treatment, and rehabilitation of patients.
Infinite Dimensional Dynamical Systems In Mechanics And Physics
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Author : Roger Temam
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-11
Infinite Dimensional Dynamical Systems In Mechanics And Physics written by Roger Temam 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 Mathematics categories.
In this book the author presents the dynamical systems in infinite dimension, especially those generated by dissipative partial differential equations. This book attempts a systematic study of infinite dimensional dynamical systems generated by dissipative evolution partial differential equations arising in mechanics and physics and in other areas of sciences and technology. This second edition has been updated and extended.