Foundations of Classical Mechanics PDF Download
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Author: P. C. Deshmukh
Publisher: Cambridge University Press
ISBN: 110848056X
Category : Mathematics
Languages : en
Pages : 591
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Book Description
The book aims at speeding up undergraduates to attain interest in advanced concepts and methods in science and engineering.
Author: P. C. Deshmukh
Publisher: Cambridge University Press
ISBN: 110848056X
Category : Mathematics
Languages : en
Pages : 591
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Book Description
The book aims at speeding up undergraduates to attain interest in advanced concepts and methods in science and engineering.
Author: D. Hestenes
Publisher: Springer Science & Business Media
ISBN: 0306471221
Category : Science
Languages : en
Pages : 716
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Book Description
(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.
Author: Ralph Abraham
Publisher: American Mathematical Soc.
ISBN: 0821869507
Category : Mathematics
Languages : en
Pages : 858
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Book Description
This book is the American Mathematical Society printing of this title, which was first published in 1907 by W. A. Benjamin and whose second edition was published by Benjamin Cummings in 1978. The book was also distributed by Perseus Press for the last decade. It is the updated 1985 (fifth) printing that is reproduced here. It includes most of the basic results in manifold theory, as well as some key facts from point set topology and Lie group theory. Introductory chapters offer background in differential theory and calculus on manifolds. Later chapters are organized in sections on analytical dynamics, qualitative dynamics, and celestial mechanics. Chapter exercises are included. The book can be used as a textbook and as a basic reference for the foundations of differentiable and Hamiltonian dynamics. Readership includes mathematicians, physicists, and engineers interested in geometrical methods in mechanics, assuming a background in calculus, linear algebra, some classical analysis, and point set topology. Author information is not given.
Author: R. Jancel
Publisher: Elsevier
ISBN: 1483186261
Category : Science
Languages : en
Pages : 441
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Book Description
Foundations of Classical and Quantum Statistical Mechanics details the theoretical foundation the supports the concepts in classical and quantum statistical mechanics. The title discusses the various problems set by the theoretical justification of statistical mechanics methods. The text first covers the the ergodic theory in classical statistical mechanics, and then proceeds to tackling quantum mechanical ensembles. Next, the selection discusses the the ergodic theorem in quantum statistical mechanics and probability quantum ergodic theorems. The selection also details H-theorems and kinetic equations in classical and quantum statistical mechanics. The book will be of great interest to students, researchers, and practitioners of physics, chemistry, and engineering.
Author: W. Noll
Publisher: Springer Science & Business Media
ISBN: 3642658172
Category : Science
Languages : en
Pages : 330
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Book Description
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.
Author: V.I. Arnol'd
Publisher: Springer Science & Business Media
ISBN: 1475720637
Category : Mathematics
Languages : en
Pages : 530
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Book Description
This book constructs the mathematical apparatus of classical mechanics from the beginning, examining basic problems in dynamics like the theory of oscillations and the Hamiltonian formalism. The author emphasizes geometrical considerations and includes phase spaces and flows, vector fields, and Lie groups. Discussion includes qualitative methods of the theory of dynamical systems and of asymptotic methods like averaging and adiabatic invariance.
Author: Emmanuele DiBenedetto
Publisher: Springer Science & Business Media
ISBN: 0817646485
Category : Mathematics
Languages : en
Pages : 364
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Book Description
* Offers a rigorous mathematical treatment of mechanics as a text or reference * Revisits beautiful classical material, including gyroscopes, precessions, spinning tops, effects of rotation of the Earth on gravity motions, and variational principles * Employs mathematics not only as a "unifying" language, but also to exemplify its role as a catalyst behind new concepts and discoveries
Author: D.Ya. Petrina
Publisher: CRC Press
ISBN: 9780415273541
Category : Science
Languages : en
Pages : 352
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Book Description
This monograph considers systems of infinite number of particles, in particular the justification of the procedure of thermodynamic limit transition. The authors discuss the equilibrium and non-equilibrium states of infinite classical statistical systems. Those states are defined in terms of stationary and nonstationary solutions to the Bogolyubov equations for the sequences of correlation functions in the thermodynamic limit. This is the first detailed investigation of the thermodynamic limit for non-equilibrium systems and of the states of infinite systems in the cases of both canonical and grand canonical ensembles, for which the thermodynamic equivalence is proved. A comprehensive survey of results is also included; it concerns the properties of correlation functions for infinite systems and the corresponding equations. For this new edition, the authors have made changes to reflect the development of theory in the last ten years. They have also simplified certain sections, presenting them more systematically, and greatly increased the number of references. The book is aimed at theoretical physicists and mathematicians and will also be of use to students and postgraduate students in the field.
Author: Michael Spivak
Publisher:
ISBN: 9780914098324
Category : Mechanics
Languages : en
Pages : 733
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Book Description
Author: John Dirk Walecka
Publisher: World Scientific
ISBN: 9811217459
Category : Science
Languages : en
Pages : 184
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Book Description
This textbook aims to provide a clear and concise set of lectures that take one from the introduction and application of Newton's laws up to Hamilton's principle of stationary action and the lagrangian mechanics of continuous systems. An extensive set of accessible problems enhances and extends the coverage.It serves as a prequel to the author's recently published book entitled Introduction to Electricity and Magnetism based on an introductory course taught sometime ago at Stanford with over 400 students enrolled. Both lectures assume a good, concurrent, course in calculus and familiarity with basic concepts in physics; the development is otherwise self-contained.A good introduction to the subject allows one to approach the many more intermediate and advanced texts with better understanding and a deeper sense of appreciation that both students and teachers alike can share.
