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Axiomatic Foundations Of Rigid Body Mechanics


Axiomatic Foundations Of Rigid Body Mechanics
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Axiomatic Foundations Of Rigid Body Mechanics


Axiomatic Foundations Of Rigid Body Mechanics
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Author : Ernest Wilcox Adams
language : en
Publisher:
Release Date : 1955

Axiomatic Foundations Of Rigid Body Mechanics written by Ernest Wilcox Adams and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1955 with Dynamics of a particle categories.




Rigid Body Mechanics


Rigid Body Mechanics
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Author : William B. Heard
language : en
Publisher: John Wiley & Sons
Release Date : 2008-07-11

Rigid Body Mechanics written by William B. Heard and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-07-11 with Science categories.


This textbook is a modern, concise and focused treatment of the mathematical techniques, physical theories and applications of rigid body mechanics, bridging the gap between the geometric and more classical approaches to the topic. It emphasizes the fundamentals of the subject, stresses the importance of notation, integrates the modern geometric view of mechanics and offers a wide variety of examples -- ranging from molecular dynamics to mechanics of robots and planetary rotational dynamics. The author has unified his presentation such that applied mathematicians, mechanical and astro-aerodynamical engineers, physicists, computer scientists and astronomers can all meet the subject on common ground, despite their diverse applications. * Free solutions manual available for lecturers at www.wiley-vch.de/supplements/



Rigid Body Dynamics


Rigid Body Dynamics
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Author : Alexey Borisov
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2018-12-03

Rigid Body Dynamics written by Alexey Borisov and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-03 with Science categories.


This book provides an up-to-date overview of results in rigid body dynamics, including material concerned with the analysis of nonintegrability and chaotic behavior in various related problems. The wealth of topics covered makes it a practical reference for researchers and graduate students in mathematics, physics and mechanics. Contents Rigid Body Equations of Motion and Their Integration The Euler – Poisson Equations and Their Generalizations The Kirchhoff Equations and Related Problems of Rigid Body Dynamics Linear Integrals and Reduction Generalizations of Integrability Cases. Explicit Integration Periodic Solutions, Nonintegrability, and Transition to Chaos Appendix A : Derivation of the Kirchhoff, Poincaré – Zhukovskii, and Four-Dimensional Top Equations Appendix B: The Lie Algebra e(4) and Its Orbits Appendix C: Quaternion Equations and L-A Pair for the Generalized Goryachev – Chaplygin Top Appendix D: The Hess Case and Quantization of the Rotation Number Appendix E: Ferromagnetic Dynamics in a Magnetic Field Appendix F: The Landau – Lifshitz Equation, Discrete Systems, and the Neumann Problem Appendix G: Dynamics of Tops and Material Points on Spheres and Ellipsoids Appendix H: On the Motion of a Heavy Rigid Body in an Ideal Fluid with Circulation Appendix I: The Hamiltonian Dynamics of Self-gravitating Fluid and Gas Ellipsoids



Creative Understanding


Creative Understanding
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Author : Roberto Torretti
language : en
Publisher: University of Chicago Press
Release Date : 2010-12-15

Creative Understanding written by Roberto Torretti and has been published by University of Chicago Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-15 with Science categories.


"A pleasure to read. Gracefully written by a scholar well grounded in the relevant philosophical, historical, and technical background. . . . a helpfully clarifying review and analysis of some issues of importance to recent philosophy of science and a source of some illuminating insights."—Burke Townsend, Philosophy of Science



The Structure And Dynamics Of Theories


The Structure And Dynamics Of Theories
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Author : Wolfgang Stegmüller
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11

The Structure And Dynamics Of Theories written by Wolfgang Stegmüller 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 2013-11-11 with Business & Economics categories.


The first part of this book, Part I, can be read from two quite distinct points of view: one, as an attempt to develop and defend the important aspects of an entirely new approach to the analysis of the structure of scientific the ories; and second, as the source of the conceptual apparatus needed for the analysis of theory dynamics and the metascientific reconstruction of T. S. Kuhn's notions of 'normal science' and 'scientific revolutions. ' In the last few years a great deal has been written about Kuhnian 'irra tionalism' and 'relativism. ' Most writers felt that they must combat it; a few thought that they must develop it further and deploy it propagandistically against a 'logic of science. ' According to the view developed in Part II of this book, both parties are on the wrong track. As far as irrationalism is concerned, it must be said that Kuhn's position itself cannot be characterized as 'irrational' in any reasonable sense of the word. His language is much too clear, and his examples are historically too well founded. (He is thoroughly aware of his frequent use of metaphorical language which, as can also be shown, is his prerogative. ) Without precedent in his work is the fact that he appears to impute irrational behavior to the practioners of the exact natural sciences (of all people!).



Evolution Of Motions Of A Rigid Body About Its Center Of Mass


Evolution Of Motions Of A Rigid Body About Its Center Of Mass
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Author : Felix L. Chernousko
language : en
Publisher: Springer
Release Date : 2017-04-20

Evolution Of Motions Of A Rigid Body About Its Center Of Mass written by Felix L. Chernousko and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-20 with Technology & Engineering categories.


The book presents a unified and well-developed approach to the dynamics of angular motions of rigid bodies subjected to perturbation torques of different physical nature. It contains both the basic foundations of the rigid body dynamics and of the asymptotic method of averaging. The rigorous approach based on the averaging procedure is applicable to bodies with arbitrary ellipsoids of inertia. Action of various perturbation torques, both external (gravitational, aerodynamical, solar pressure) and internal (due to viscous fluid in tanks, elastic and visco-elastic properties of a body) is considered in detail. The book can be used by researchers, engineers and students working in attitude dynamics of spacecraft.



Explanatory Translation


Explanatory Translation
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Author : V. Rantala
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-08-31

Explanatory Translation written by V. Rantala 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 2002-08-31 with Computers categories.


The notion of translation investigated here is called explanatory, but it is not a translation in the standard sense of the word since it admits of conceptual change. Such translations can take various degrees of precision, and therefore they can occur in contexts of different kinds: from everyday discourse to literary texts to scientific change. The book generalizes some earlier approaches to translation, especially the one presented in David Pearce's monograph "Roads to Commensurability".



Provability Computability And Reflection


Provability Computability And Reflection
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Author : Lev D. Beklemishev
language : en
Publisher: Elsevier
Release Date : 2000-04-01

Provability Computability And Reflection written by Lev D. Beklemishev and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-04-01 with Mathematics categories.


Provability, Computability and Reflection



The Logical Structure Of Mathematical Physics


The Logical Structure Of Mathematical Physics
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Author : Joseph D. Sneed
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

The Logical Structure Of Mathematical Physics written by Joseph D. Sneed 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.


This book is about scientific theories of a particular kind - theories of mathematical physics. Examples of such theories are classical and relativis tic particle mechanics, classical electrodynamics, classical thermodynamics, statistical mechanics, hydrodynamics, and quantum mechanics. Roughly, these are theories in which a certain mathematical structure is employed to make statements about some fragment of the world. Most of the book is simply an elaboration of this rough characterization of theories of mathematical physics. It is argued that each theory of mathematical physics has associated with it a certain characteristic mathematical struc ture. This structure may be used in a variety of ways to make empirical claims about putative applications of the theory. Typically - though not necessarily - the way this structure is used in making such claims requires that certain elements in the structure play essentially different roles. Some playa "theoretical" role; others playa "non-theoretical" role. For example, in classical particle mechanics, mass and force playa theoretical role while position plays a non-theoretical role. Some attention is given to showing how this distinction can be drawn and describing precisely the way in which the theoretical and non-theoretical elements function in the claims of the theory. An attempt is made to say, rather precisely, what a theory of mathematical physics is and how you tell one such theory from anothe- what the identity conditions for these theories are.



The Structuralist View Of Theories


The Structuralist View Of Theories
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Author : Wolfgang Stegmüller
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-13

The Structuralist View Of Theories written by Wolfgang Stegmüller 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 2013-03-13 with Mathematics categories.


The present text originated with the intention of writing a brief reply to Feyerabend's detailed discussion of my book The Structure and Dynamics of Theories. For reasons explained in the Introduction this turned out to be an impossible undertaking. What resulted was a self-contained new approach to the structuralist view, combined with an attempt to bring it up to date by including a report on the latest developments. As matters stand it would have been unreasonable and unfair of me to ask the editors of The British Journal for the Philosophy of Science to publish this text which exceeds by far the size of an average essay. Thus, a separate publication seemed advisable. I am deeply indebted to Springer-Verlag for making this publication possible. Since the publication of the above-mentioned book I have learned a lot from the works, partly unpublished, of Professor Joseph D. Sneed, Professor Carlos Ulises Moulines, and Dr. Wolfgang Balzer. I should like to thank my co-workers Dr. Wolfgang Balzer and Dr. Matthias Varga von Kibed and my student Michael Heidelberger for many constructive, critical remarks on the first draft of the manuscript and, in addition, Dr. Balzer for collecting and orga nizing the material for the Formal Appendix. Last, but not least, I express my warm thanks to Mrs. Clara Seneca, Oldenburg, and Mr. Roberto Minio, Springer Verlag, for amending my English formulations. V Table of Contents Introduction ....................................... .