Topics In Dynamics

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Topics in Dynamics

Author : Edward Nelson
Publisher : Princeton University Press
Page : 123 pages
File Size : 53,8 Mb
Release : 2015-03-08
Category : Science
ISBN : 9781400872596

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Topics in Dynamics by Edward Nelson Pdf

Kinematical problems of both classical and quantum mechanics are considered in these lecture notes ranging from differential calculus to the application of one of Chernoff's theorems. Originally published in 1970. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Topics from One-Dimensional Dynamics

Author : Karen M. Brucks,Henk Bruin
Publisher : Cambridge University Press
Page : 316 pages
File Size : 44,8 Mb
Release : 2004-06-28
Category : Mathematics
ISBN : 0521547660

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Topics from One-Dimensional Dynamics by Karen M. Brucks,Henk Bruin Pdf

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Topics in Geophysical Fluid Dynamics: Atmospheric Dynamics, Dynamo Theory, and Climate Dynamics

Author : M. Ghil,S. Childress
Publisher : Springer Science & Business Media
Page : 505 pages
File Size : 42,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461210528

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Topics in Geophysical Fluid Dynamics: Atmospheric Dynamics, Dynamo Theory, and Climate Dynamics by M. Ghil,S. Childress Pdf

The vigorous stirring of a cup of tea gives rise, as we all know, to interesting fluid dynamical phenomena, some of which are very hard to explain. In this book our "cup of tea" contains the currents of the Earth's atmosphere, oceans, mantle, and fluid core. Our goal is to under stand the basic physical processes which are most important in describing what we observe, directly or indirectly, in these complex systems. While in many respects our understanding is measured by the ability to predict, the focus here will be on relatively simple models which can aid our physical intuition by suggesting useful mathematical methods of investiga tion. These elementary models can be viewed as part of a hierarchy of models of increasing complexity, moving toward those which might be use fully predictive. The discussion in this book will deal primarily with the Earth. Interplanetary probes of Venus, Mars, Jupiter and Saturn have revealed many exciting phenomena which bear on geophysical fluid dynamics. They have also enabled us to see the effect of changing the values of certain parameters, such as gravity and rotation rate, on geophysical flows. On the other hand, satellite observations of our own planet on a daily and hourly basis have turned it into a unique laboratory for the study of fluid motions on a scale never dreamt of before: the motion of cyclones can be observed via satellite just as wing tip vortices are studied in a wind tunnel.

Topics in Dynamics and Ergodic Theory

Author : Sergey Bezuglyi
Publisher : Cambridge University Press
Page : 276 pages
File Size : 44,7 Mb
Release : 2003-12-08
Category : Mathematics
ISBN : 0521533651

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Topics in Dynamics and Ergodic Theory by Sergey Bezuglyi Pdf

This book contains a collection of survey papers by leading researchers in ergodic theory, low-dimensional and topological dynamics and it comprises nine chapters on a range of important topics. These include: the role and usefulness of ultrafilters in ergodic theory, topological dynamics and Ramsey theory; topological aspects of kneading theory together with an analogous 2-dimensional theory called pruning; the dynamics of Markov odometers, Bratteli-Vershik diagrams and orbit equivalence of non-singular automorphisms; geometric proofs of Mather's connecting and accelerating theorems; recent results in one dimensional smooth dynamics; periodic points of nonexpansive maps; arithmetic dynamics; the defect of factor maps; entropy theory for actions of countable amenable groups.

Galileo Unbound

Author : David D. Nolte
Publisher : Oxford University Press
Page : 384 pages
File Size : 55,6 Mb
Release : 2018-07-12
Category : Science
ISBN : 9780192528506

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Galileo Unbound by David D. Nolte Pdf

Galileo Unbound traces the journey that brought us from Galileo's law of free fall to today's geneticists measuring evolutionary drift, entangled quantum particles moving among many worlds, and our lives as trajectories traversing a health space with thousands of dimensions. Remarkably, common themes persist that predict the evolution of species as readily as the orbits of planets or the collapse of stars into black holes. This book tells the history of spaces of expanding dimension and increasing abstraction and how they continue today to give new insight into the physics of complex systems. Galileo published the first modern law of motion, the Law of Fall, that was ideal and simple, laying the foundation upon which Newton built the first theory of dynamics. Early in the twentieth century, geometry became the cause of motion rather than the result when Einstein envisioned the fabric of space-time warped by mass and energy, forcing light rays to bend past the Sun. Possibly more radical was Feynman's dilemma of quantum particles taking all paths at once — setting the stage for the modern fields of quantum field theory and quantum computing. Yet as concepts of motion have evolved, one thing has remained constant, the need to track ever more complex changes and to capture their essence, to find patterns in the chaos as we try to predict and control our world.

Topics in Gravitational Dynamics

Author : Daniel Benest,Claude Froeschle,Elena Lega
Publisher : Springer Science & Business Media
Page : 419 pages
File Size : 54,6 Mb
Release : 2008-01-02
Category : Science
ISBN : 9783540729839

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Topics in Gravitational Dynamics by Daniel Benest,Claude Froeschle,Elena Lega Pdf

This set of lectures collects surveys of open problems in celestial dynamics and dynamical astronomy applied to solar, extra-solar and galactic systems. The discovery and thus the possibility to study many new extra-solar planetary systems have spurred new developments in the field and enabled the testing and enlargement of the domains of validity of theoretical predictions through the Nekhoroshev theorem.

Introduction to Modern Dynamics

Author : David D. Nolte
Publisher : Oxford University Press, USA
Page : 498 pages
File Size : 43,7 Mb
Release : 2019-08-29
Category : Science
ISBN : 9780198844624

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Introduction to Modern Dynamics by David D. Nolte Pdf

The best parts of physics are the last topics that our students ever see. These are the exciting new frontiers of nonlinear and complex systems that are at the forefront of university research and are the basis of many high-tech businesses. Topics such as traffic on the World Wide Web, the spread of epidemics through globally-mobile populations, or how the synchronization of global economies are governed by universal principles just as profound as Newton's laws. Nonetheless, the conventional university physics curriculum reserves most of these topics for graduate study because of the assumed need for advanced mathematics. However, by using only linear algebra and calculus, combined with exploratory computer simulations, all of these topics become accessible to advanced undergraduate students. The structure of this book combines the three main topics of modern dynamics - chaos theory, dynamics on complex networks, and general relativity - into a coherent framework. By taking a geometric view of physics, concentrating on the time evolution of physical systems as trajectories through abstract spaces, these topics share a common and simple mathematical language through which any student can gain a unified physical intuition. Given the growing importance of complex dynamical systems in many areas of science and technology, this text provides students with an up-to-date foundation for their future careers. This second edition has an updated introductory chapter and has added key topics to help students prepare for their GRE physics subject exam. It also has expanded chapters on Hamiltonian dynamics, Hamiltonian chaos, and Econophysics, while increasing the number of homework problems at the end of each chapter. The second edition is designed to fulfill the textbook needs of any advanced undergraduate course in mechanics.

Special Topics in Structural Dynamics & Experimental Techniques, Volume 5

Author : Nikolaos Dervilis
Publisher : Springer
Page : 122 pages
File Size : 48,5 Mb
Release : 2019-06-12
Category : Science
ISBN : 9783030122430

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Special Topics in Structural Dynamics & Experimental Techniques, Volume 5 by Nikolaos Dervilis Pdf

Special Topics in Structural Dynamics & Experimental Techniques, Volume 5: Proceedings of the 37th IMAC, A Conference and Exposition on Structural Dynamics, 2019, the fifth volume of eight from the Conference brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Structural Dynamics, including papers on: Analytical Methods Emerging Technologies for Structural Dynamics Engineering Extremes Experimental Techniques Finite Element Techniques General Topics

Topics in Nonlinear Dynamics, Volume 1

Author : Gaetan Kerschen,Douglas Adams,Alex Carrella
Publisher : Springer
Page : 0 pages
File Size : 50,9 Mb
Release : 2013-05-24
Category : Technology & Engineering
ISBN : 1461465699

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Topics in Nonlinear Dynamics, Volume 1 by Gaetan Kerschen,Douglas Adams,Alex Carrella Pdf

Topics in Nonlinear Dynamics, Volume 1: Proceedings of the 31st IMAC, A Conference and Exposition on Structural Dynamics, 2013, the first volume of seven from the Conference, brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Structural Dynamics, including papers on: Nonlinear Oscillations Nonlinearities ... In Practice Nonlinear System Identification: Methods Nonlinear System Identification: Friction & Contact Nonlinear Modal Analysis Nonlinear Modeling & Simulation Nonlinear Vibration Absorbers Constructive Utilization of Nonlinearity

Fundamentals of Dynamics and Analysis of Motion

Author : Marcelo R. M. Crespo da Silva
Publisher : Courier Dover Publications
Page : 722 pages
File Size : 51,9 Mb
Release : 2016-04-21
Category : Technology & Engineering
ISBN : 9780486797373

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Fundamentals of Dynamics and Analysis of Motion by Marcelo R. M. Crespo da Silva Pdf

Suitable as both a reference and a text for graduate students, this book stresses the fundamentals of setting up and solving dynamics problems rather than the indiscriminate use of elaborate formulas. Includes tutorials on relevant software. 2015 edition.

Engineering Dynamics

Author : N. Jeremy Kasdin,Derek A. Paley
Publisher : Princeton University Press
Page : 704 pages
File Size : 51,8 Mb
Release : 2011-02-22
Category : Technology & Engineering
ISBN : 9781400839070

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Engineering Dynamics by N. Jeremy Kasdin,Derek A. Paley Pdf

This textbook introduces undergraduate students to engineering dynamics using an innovative approach that is at once accessible and comprehensive. Combining the strengths of both beginner and advanced dynamics texts, this book has students solving dynamics problems from the very start and gradually guides them from the basics to increasingly more challenging topics without ever sacrificing rigor. Engineering Dynamics spans the full range of mechanics problems, from one-dimensional particle kinematics to three-dimensional rigid-body dynamics, including an introduction to Lagrange's and Kane's methods. It skillfully blends an easy-to-read, conversational style with careful attention to the physics and mathematics of engineering dynamics, and emphasizes the formal systematic notation students need to solve problems correctly and succeed in more advanced courses. This richly illustrated textbook features numerous real-world examples and problems, incorporating a wide range of difficulty; ample use of MATLAB for solving problems; helpful tutorials; suggestions for further reading; and detailed appendixes. Provides an accessible yet rigorous introduction to engineering dynamics Uses an explicit vector-based notation to facilitate understanding Professors: A supplementary Instructor's Manual is available for this book. It is restricted to teachers using the text in courses. For information on how to obtain a copy, refer to: http://press.princeton.edu/class_use/solutions.html

Fundamentals of Biomechanics

Author : Dawn L. Leger
Publisher : Springer Science & Business Media
Page : 420 pages
File Size : 40,9 Mb
Release : 2013-03-14
Category : Medical
ISBN : 9781475730678

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Fundamentals of Biomechanics by Dawn L. Leger Pdf

Extensively revised from a successful first edition, this book features a wealth of clear illustrations, numerous worked examples, and many problem sets. It provides the quantitative perspective missing from more descriptive texts, without requiring an advanced background in mathematics, and as such will be welcomed for use in courses such as biomechanics and orthopedics, rehabilitation and industrial engineering, and occupational or sports medicine.

Engineering Dynamics

Author : Oliver M. O'Reilly
Publisher : Springer Science & Business Media
Page : 241 pages
File Size : 49,8 Mb
Release : 2010-05-25
Category : Mathematics
ISBN : 9781441963604

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Engineering Dynamics by Oliver M. O'Reilly Pdf

This Primer is intended to provide the theoretical background for the standard undergraduate, mechanical engineering course in dynamics. The book contains several worked examples and summaries and exercises at the end of each chapter to aid readers in their understanding of the material. Teachers who wish to have a source of more detailed theory for the course, as well as graduate students who need a refresher course on undergraduate dynamics when preparing for certain first year graduate school examinations, and students taking the course will find the work very helpful.

Fundamentals of Applied Dynamics

Author : James H. Williams, Jr.
Publisher : MIT Press
Page : 885 pages
File Size : 43,5 Mb
Release : 2019-12-17
Category : Technology & Engineering
ISBN : 9780262039710

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Fundamentals of Applied Dynamics by James H. Williams, Jr. Pdf

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.

Newton-Euler Dynamics

Author : Mark D. Ardema
Publisher : Springer Science & Business Media
Page : 325 pages
File Size : 48,6 Mb
Release : 2006-10-28
Category : Technology & Engineering
ISBN : 9780387232768

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Newton-Euler Dynamics by Mark D. Ardema Pdf

Unlike other books on this subject, which tend to concentrate on 2-D dynamics, this text focuses on the application of Newton-Euler methods to complex, real-life 3-D dynamics problems. It is thus ideal for elective courses in intermediate dynamics.