Foundations Of Mechanics
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Foundations Of Mechanics
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Author : Ralph Abraham
language : en
Publisher: American Mathematical Soc.
Release Date : 2008
Foundations Of Mechanics written by Ralph Abraham 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 2008 with Mathematics categories.
A reference on symplectic geometry, analytical mechanics and symplectic methods in mathematical physics. It offers a treatment of geometric mechanics. It is also suitable as a textbook for the foundations of differentiable and Hamiltonian dynamics.
New Foundations For Classical Mechanics
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Author : David Hestenes
language : en
Publisher: Springer Science & Business Media
Release Date : 1999-09-30
New Foundations For Classical Mechanics written by David Hestenes 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 1999-09-30 with Science categories.
(revised) This is a textbook on classical mechanics at the intermediate level, but its main purpose is to serve as an introduction to a new mathematical language for physics called geometric algebra. Mechanics is most commonly formulated today in terms of the vector algebra developed by the American physicist J. Willard Gibbs, but for some applications of mechanics the algebra of complex numbers is more efficient than vector algebra, while in other applications matrix algebra works better. Geometric algebra integrates all these algebraic systems into a coherent mathematical language which not only retains the advantages of each special algebra but possesses powerful new capabilities. This book covers the fairly standard material for a course on the mechanics of particles and rigid bodies. However, it will be seen that geometric algebra brings new insights into the treatment of nearly every topic and produces simplifications that move the subject quickly to advanced levels. That has made it possible in this book to carry the treatment of two major topics in mechanics well beyond the level of other textbooks. A few words are in order about the unique treatment of these two topics, namely, rotational dynamics and celestial mechanics.
Foundations Of Classical Mechanics
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Author : P. C. Deshmukh
language : en
Publisher: Cambridge University Press
Release Date : 2019-12-12
Foundations Of Classical Mechanics written by P. C. Deshmukh 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 2019-12-12 with Mathematics categories.
The book aims at speeding up undergraduates to attain interest in advanced concepts and methods in science and engineering.
The Foundations Of Mechanics And Thermodynamics
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Author : W. Noll
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The Foundations Of Mechanics And Thermodynamics written by W. Noll 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.
German scholars, against odds now not only forgotten but also hard to imagine, were striving to revivify the life of the mind which the mental and physical barbarity preached and practised by the -isms and -acies of 1933-1946 had all but eradicated. Thinking that among the disciples of these elders, restorers rather than progressives, I might find a student or two who would wish to master new mathematics but grasp it and use it with the wholeness of earlier times, in 1952 I wrote to Mr. HAMEL, one of the few then remaining mathematicians from the classical mould, to ask him to name some young men fit to study for the doc torate in The Graduate Institute for Applied Mathematics at Indiana University, flourishing at that time though soon to be destroyed by the jealous ambition of the local, stereotyped pure. Having just retired from the Technische Universitat in Charlottenburg, he passed my inquiry on to Mr. SZABO, in whose institute there NOLL was then an assistant. Although Mr.
Foundations And Applications Of Engineering Mechanics
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Author : H. D. Ram
language : en
Publisher: Cambridge University Press
Release Date : 2015-03-16
Foundations And Applications Of Engineering Mechanics written by H. D. Ram 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 2015-03-16 with Science categories.
This book offers a comprehensive discussion of the fundamental theories and principles of engineering mechanics. Taking the module syllabi of various technical universities and colleges in India into consideration, it includes chapters on method of virtual work and mechanical vibration, follows a step-by-step problem-solving approach, and provides exercises at the end of each chapter.
Foundations Of Statistical Mechanics
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Author : O. Penrose
language : en
Publisher: Elsevier
Release Date : 2016-09-21
Foundations Of Statistical Mechanics written by O. Penrose and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-21 with Science categories.
International Series of Monographs in Natural Philosophy, Volume 22: Foundations of Statistical Mechanics: A Deductive Treatment presents the main approaches to the basic problems of statistical mechanics. This book examines the theory that provides explicit recognition to the limitations on one's powers of observation. Organized into six chapters, this volume begins with an overview of the main physical assumptions and their idealization in the form of postulates. This text then examines the consequences of these postulates that culminate in a derivation of the fundamental formula for calculating probabilities in terms of dynamic quantities. Other chapters provide a careful analysis of the significant notion of entropy, which shows the links between thermodynamics and statistical mechanics and also between communication theory and statistical mechanics. The final chapter deals with the thermodynamic concept of entropy. This book is intended to be suitable for students of theoretical physics. Probability theorists, statisticians, and philosophers will also find this book useful.
The Conceptual Foundations Of The Statistical Approach In Mechanics
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Author : Paul Ehrenfest
language : en
Publisher: Courier Corporation
Release Date : 2014-11-12
The Conceptual Foundations Of The Statistical Approach In Mechanics written by Paul Ehrenfest and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-12 with Science categories.
Classic 1912 article reformulated the foundations of the statistical approach in mechanics. Largely still valid, the treatment covers older formulation of statistico-mechanical investigations, modern formulation of kineto-statistics of the gas model, and more. 1959 edition.
New Foundations For Classical Mechanics
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Author : D. Hestenes
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
New Foundations For Classical Mechanics written by D. Hestenes 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 is a textbook on classical mechanics at the intermediate level, but its main purpose is to serve as an introduction to a new mathematical language for physics called geometric algebra. Mechanics is most commonly formulated today in terms of the vector algebra developed by the American physicist J. Willard Gibbs, but for some applications of mechanics the algebra of complex numbers is more efficient than vector algebra, while in other applica tions matrix algebra works better. Geometric algebra integrates all these algebraic systems into a coherent mathematical language which not only retains the advantages of each special algebra but possesses powerful new capabilities. This book covers the fairly standard material for a course on the mechanics of particles and rigid bodies. However, it will be seen that geometric algebra brings new insights into the treatment of nearly every topic and produces simplifications that move the subject quickly to advanced levels. That has made it possible in this book to carry the treatment of two major topics in mechanics well beyond the level of other textbooks. A few words are in order about the unique treatment of these two topics, namely, rotational dynamics and celestial mechanics.
Physical Foundations Of Continuum Mechanics
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Author : A. I. Murdoch
language : en
Publisher: Cambridge University Press
Release Date : 2012-10-22
Physical Foundations Of Continuum Mechanics written by A. I. Murdoch 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 2012-10-22 with Science categories.
This authoritative reference book examines and clarifies physical assumptions implicit in continuum modelling from a molecular perspective.