Fundamentals Of Measurable Dynamics PDF Download
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Author | : Daniel J. Rudolph |
Publisher | : Oxford University Press, USA |
Total Pages | : 190 |
Release | : 1990 |
Genre | : Mathematics |
ISBN | : |
Download Fundamentals of Measurable Dynamics Book in PDF, ePub and Kindle
This book is designed to provide graduate students and other researchers in dynamical systems theory with an introduction to the ergodic theory of Lebesgue spaces. The author's aim is to present a technically complete account which offers an in-depth understanding of the techniques of the field, both classical and modern. Thus, the basic structure theorems of Lebesgue spaces are given in detail as well as complete accounts of the ergodic theory of a single transformation, ergodic theorems, mixing properties and entropy. Subsequent chapters extend the earlier material to the areas of joinings and representation theorems, in particular the theorems of Ornstein and Krieger. Prerequisites are a working knowledge of Lebesgue measure and the topology of the real line as might be gained from the first year of a graduate course. Many exercises and examples are included to illustrate and to further cement the reader's understanding of the material. The result is a text which will furnish the reader with a sound technical background from the foundations of the subject to some of its most recent developments.
Author | : Erik M. Bollt |
Publisher | : SIAM |
Total Pages | : 376 |
Release | : 2013-12-03 |
Genre | : Mathematics |
ISBN | : 1611972639 |
Download Applied and Computational Measurable Dynamics Book in PDF, ePub and Kindle
Until recently, measurable dynamics has been held as a highly theoretical mathematical topic with few generally known obvious links for practitioners in areas of applied mathematics. However, the advent of high-speed computers, rapidly developing algorithms, and new numerical methods has allowed for a tremendous amount of progress and sophistication in efforts to represent the notion of a transfer operator discretely but to high resolution. This book connects many concepts in dynamical systems with mathematical tools from areas such as graph theory and ergodic theory. The authors introduce practical tools for applications related to measurable dynamical systems, coherent structures, and transport problems. The new and fast-developing computational tools discussed throughout the book allow for detailed analysis of real-world problems that are simply beyond the reach of traditional methods.
Author | : James H. Williams, Jr. |
Publisher | : MIT Press |
Total Pages | : 885 |
Release | : 2019-12-17 |
Genre | : Technology & Engineering |
ISBN | : 0262352397 |
Download Fundamentals of Applied Dynamics Book in PDF, ePub and Kindle
An introductory engineering textbook by an award-winning MIT professor that covers the history of dynamics and the dynamical analyses of mechanical, electrical, and electromechanical systems. This introductory textbook offers a distinctive blend of the modern and the historical, seeking to encourage an appreciation for the history of dynamics while also presenting a framework for future learning. The text presents engineering mechanics as a unified field, emphasizing dynamics but integrating topics from other disciplines, including design and the humanities. The book begins with a history of mechanics, suitable for an undergraduate overview. Subsequent chapters cover such topics as three-dimensional kinematics; the direct approach, also known as vectorial mechanics or the momentum approach; the indirect approach, also called lagrangian dynamics or variational dynamics; an expansion of the momentum and lagrangian formulations to extended bodies; lumped-parameter electrical and electromagnetic devices; and equations of motion for one-dimensional continuum models. The book is noteworthy in covering both lagrangian dynamics and vibration analysis. The principles covered are relatively few and easy to articulate; the examples are rich and broad. Summary tables, often in the form of flowcharts, appear throughout. End-of-chapter problems begin at an elementary level and become increasingly difficult. Appendixes provide theoretical and mathematical support for the main text.
Author | : Roberto A. Tenenbaum |
Publisher | : Springer Science & Business Media |
Total Pages | : 728 |
Release | : 2004-01-08 |
Genre | : Science |
ISBN | : 038700887X |
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Tenenbaum's Dynamics covers the full range of topics included in a complete basic course designed for undergraduate students in engineering. Requiring no more than a basic course in calculus, the text employs an intuitive approach, from the point of view of Newtonian mechanics, that avoids the complications of Hamiltonian and Lagrangian formalism. The balance between analysis and practical examples also avoids the tendency of other engineering-oriented texts to assume an antipathy towards abstract thinking among engineers. The analytical approach, presented in a simple but rigorous way, gives the required tools for modeling novel practical situations. The English edition is based on the highly acclaimed Portuguese textbook.
Author | : Guido Visconti |
Publisher | : Springer Nature |
Total Pages | : 326 |
Release | : 2020-07-10 |
Genre | : Science |
ISBN | : 3030495620 |
Download Fluid Dynamics Book in PDF, ePub and Kindle
This introductory book addresses a broad range of classical Fluid Dynamics topics, interesting applications, and related problems in everyday life. The geophysical and astrophysical applications discussed concern e.g. the shape and internal structure of the Earth and stars, the dynamics of the atmosphere and ocean, hydrodynamic instabilities, and the different kinds of waves that can be found in the atmosphere, ocean and solid Earth. Non-linear waves (solitons) are also mentioned. In turn, the book explores problems from everyday life, including the motion of golf balls, life at low Reynolds numbers, the physics of sailing, and the aerodynamics of airplanes and Grand Prix cars. No book on this topic would be complete without a look at chaos and turbulence; here the problems span from Gaussian plumes to chaotic dynamos, to stochastic climate modeling. Advances in fluid dynamics have produced a wealth of numerical methods and techniques, which are used in many of the applications. Given its structure, the book can be used both for an introductory course to fluid dynamics and as preparation for more advanced problems typical of graduate-level courses.
Author | : Farid Amirouche |
Publisher | : Springer Science & Business Media |
Total Pages | : 692 |
Release | : 2007-05-24 |
Genre | : Technology & Engineering |
ISBN | : 0817644067 |
Download Fundamentals of Multibody Dynamics Book in PDF, ePub and Kindle
This textbook – a result of the author’s many years of research and teaching – brings together diverse concepts of the versatile tool of multibody dynamics, combining the efforts of many researchers in the field of mechanics.
Author | : M. B. Glauert |
Publisher | : |
Total Pages | : 80 |
Release | : 1960 |
Genre | : Dynamics |
ISBN | : |
Download Principles of Dynamics Book in PDF, ePub and Kindle
Author | : Mark Pollicott |
Publisher | : Cambridge University Press |
Total Pages | : 198 |
Release | : 1998-01-29 |
Genre | : Mathematics |
ISBN | : 9780521575997 |
Download Dynamical Systems and Ergodic Theory Book in PDF, ePub and Kindle
This book is an essentially self contained introduction to topological dynamics and ergodic theory. It is divided into a number of relatively short chapters with the intention that each may be used as a component of a lecture course tailored to the particular audience. Parts of the book are suitable for a final year undergraduate course or for a masters level course. A number of applications are given, principally to number theory and arithmetic progressions (through van der waerden's theorem and szemerdi's theorem).
Author | : Sergey Bezuglyi |
Publisher | : Springer |
Total Pages | : 162 |
Release | : 2018-06-21 |
Genre | : Mathematics |
ISBN | : 3319924176 |
Download Transfer Operators, Endomorphisms, and Measurable Partitions Book in PDF, ePub and Kindle
The subject of this book stands at the crossroads of ergodic theory and measurable dynamics. With an emphasis on irreversible systems, the text presents a framework of multi-resolutions tailored for the study of endomorphisms, beginning with a systematic look at the latter. This entails a whole new set of tools, often quite different from those used for the “easier” and well-documented case of automorphisms. Among them is the construction of a family of positive operators (transfer operators), arising naturally as a dual picture to that of endomorphisms. The setting (close to one initiated by S. Karlin in the context of stochastic processes) is motivated by a number of recent applications, including wavelets, multi-resolution analyses, dissipative dynamical systems, and quantum theory. The automorphism-endomorphism relationship has parallels in operator theory, where the distinction is between unitary operators in Hilbert space and more general classes of operators such as contractions. There is also a non-commutative version: While the study of automorphisms of von Neumann algebras dates back to von Neumann, the systematic study of their endomorphisms is more recent; together with the results in the main text, the book includes a review of recent related research papers, some by the co-authors and their collaborators.
Author | : Robert A. Meyers |
Publisher | : Springer Science & Business Media |
Total Pages | : 1885 |
Release | : 2011-10-05 |
Genre | : Mathematics |
ISBN | : 1461418054 |
Download Mathematics of Complexity and Dynamical Systems Book in PDF, ePub and Kindle
Mathematics of Complexity and Dynamical Systems is an authoritative reference to the basic tools and concepts of complexity, systems theory, and dynamical systems from the perspective of pure and applied mathematics. Complex systems are systems that comprise many interacting parts with the ability to generate a new quality of collective behavior through self-organization, e.g. the spontaneous formation of temporal, spatial or functional structures. These systems are often characterized by extreme sensitivity to initial conditions as well as emergent behavior that are not readily predictable or even completely deterministic. The more than 100 entries in this wide-ranging, single source work provide a comprehensive explication of the theory and applications of mathematical complexity, covering ergodic theory, fractals and multifractals, dynamical systems, perturbation theory, solitons, systems and control theory, and related topics. Mathematics of Complexity and Dynamical Systems is an essential reference for all those interested in mathematical complexity, from undergraduate and graduate students up through professional researchers.