Exploring Classical Mechanics
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Exploring Classical Mechanics
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Author : Full Professor and Chair of Theoretical Physics G L Kotkin
language : en
Publisher: Oxford University Press, USA
Release Date : 2020-08
Exploring Classical Mechanics written by Full Professor and Chair of Theoretical Physics G L Kotkin and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08 with categories.
This new edition of a popular textbook offers an original collection of problems in analytical mechanics. Analytical mechanics is the first chapter in the study and understanding of theoretical physics. Its methods and ideas are crucially important, as they form the basis of all other branches of theoretical physics, including quantum mechanics, statistical physics, and field theory. Such concepts as the Lagrangian and Hamiltonian formalisms, normal oscillations, adiabatic invariants, Liouville theorem, and canonical transformations lay the foundation, without which any further in-depth study of theoretical physics is impossible. Wherever possible, the authors draw analogies and comparisons with similar processes in electrodynamics, quantum mechanics, or statistical mechanics while presenting the solutions to the problems. The book is based on the authors' many years of experience delivering lectures and seminars at the Department of Physics at Novosibirsk State University -- totalling an impressive 110+ years of combined teaching experience. Most of the problems are original, and will be useful not only for those studying mechanics, but also for those who teach it. The content of the book corresponds to and roughly follows the mechanics course in the well-known textbooks by Landau and Lifshitz, Goldstein, or ter Haar. The Collection... starts with the Newtonian equations, motion in a central field, and scattering. Then the text proceeds to the established, traditional sections of analytical mechanics as part of the course on theoretical physics: the Lagrangian equations, the Noether theorem, linear and nonlinear oscillations, Hamilton formalism, and motion of a solid body. As a rule, the solution of a problem is not complete by just obtaining the required formulae. It's necessary to analyse the result. This can be an interesting process of discovery for the student and is by no means a "mechanical'' part of the solution. It is also very useful to investigate what happens if the conditions of the problem are varied. With this in mind, the authors offer suggestions of further problems at the end of several solutions. First published in 1969 in Russian, this text has become widely used in classrooms around the world. It has been translated into several languages, and has seen multiple editions in various languages.
Exploring Classical Mechanics
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Author : Gleb Leonidovich Kotkin
language : en
Publisher:
Release Date : 2020
Exploring Classical Mechanics written by Gleb Leonidovich Kotkin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with Electronic books categories.
This widly used text teaches analytical mechanics, the first chapter in the study of theoretical physics. Its methods and ideas are crucially important as they form the basis of all other branches of theoretical physics including quantum mechanics, statistical physics, and field theory. Most of the problems are original to this book
Exploring The Limits Of Preclassical Mechanics
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Author : Peter Damerow
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Exploring The Limits Of Preclassical Mechanics written by Peter Damerow 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 2013-03-09 with Science categories.
The question of when and how the basic concepts that characterize modern science arose in Western Europe has long been central to the history of science. This book examines the transition from Renaissance engineering and philosophy of nature to classical mechanics oriented on the central concept of velocity. For this new edition, the authors include a new discussion of the doctrine of proportions, an analysis of the role of traditional statics in the construction of Descartes' impact rules, and go deeper into the debate between Descartes and Hobbes on the explanation of refraction. They also provide significant new material on the early development of Galileo's work on mechanics and the law of fall.
Introduction To Classical Mechanics
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Author : David Morin
language : en
Publisher: Cambridge University Press
Release Date : 2008-01-10
Introduction To Classical Mechanics written by David Morin 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 2008-01-10 with Science categories.
This textbook covers all the standard introductory topics in classical mechanics, including Newton's laws, oscillations, energy, momentum, angular momentum, planetary motion, and special relativity. It also explores more advanced topics, such as normal modes, the Lagrangian method, gyroscopic motion, fictitious forces, 4-vectors, and general relativity. It contains more than 250 problems with detailed solutions so students can easily check their understanding of the topic. There are also over 350 unworked exercises which are ideal for homework assignments. Password protected solutions are available to instructors at www.cambridge.org/9780521876223. The vast number of problems alone makes it an ideal supplementary text for all levels of undergraduate physics courses in classical mechanics. Remarks are scattered throughout the text, discussing issues that are often glossed over in other textbooks, and it is thoroughly illustrated with more than 600 figures to help demonstrate key concepts.
Modern Classical Mechanics
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Author : T. M. Helliwell
language : en
Publisher: Cambridge University Press
Release Date : 2020-12-10
Modern Classical Mechanics written by T. M. Helliwell 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 2020-12-10 with Science categories.
Presents classical mechanics as a thriving field with strong connections to modern physics, with numerous worked examples and homework problems.
No Nonsense Classical Mechanics
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Author : Jakob Schwichtenberg
language : en
Publisher: No-Nonsense Books
Release Date : 2019-04-30
No Nonsense Classical Mechanics written by Jakob Schwichtenberg and has been published by No-Nonsense Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-30 with Science categories.
Learning classical mechanics doesn’t have to be hard What if there was a way to learn classical mechanics without all the usual fluff? What if there were a book that allowed you to see the whole picture and not just tiny parts of it? Thoughts like this are the reason that No-Nonsense Classical Mechanics now exists. What will you learn from this book? Get to know all fundamental mechanics concepts — Grasp why we can describe classical mechanics using the Lagrangian formalism, the Newtonian formalism, or the Hamiltonian formalism and how these frameworks are connected.Learn to describe classical mechanics mathematically — Understand the meaning and origin of the most important equations: Newton's second law, the Euler-Lagrange equation and Hamilton's equations.Master the most important classical mechanics systems — Read fully annotated, step-by-step calculations and understand the general algorithm we use to describe them.Get an understanding you can be proud of — Learn about beautiful and deep insights like Noether's theorem or Liouville's theorem and how classical mechanics emerges in a proper limit of special relativity, quantum mechanics and general relativity. No-Nonsense Classical Mechanics is the most student-friendly book on classical nechanics ever written. Here’s why. First of all, it's is nothing like a formal university lecture. Instead, it’s like a casual conservation with a more experienced student. This also means that nothing is assumed to be “obvious” or “easy to see”.Each chapter, each section, and each page focuses solely on the goal to help you understand. Nothing is introduced without a thorough motivation and it is always clear where each equation comes from.The book contains no fluff since unnecessary content quickly leads to confusion. Instead, it ruthlessly focuses on the fundamentals and makes sure you’ll understand them in detail. The primary focus on the readers’ needs is also visible in dozens of small features that you won’t find in any other textbook In total, the book contains more than 100 illustrations that help you understand the most important concepts visually. In each chapter, you’ll find fully annotated equations and calculations are done carefully step-by-step. This makes it much easier to understand what’s going on in.Whenever a concept is used that was already introduced previously there is a short sidenote that reminds you where it was first introduced and often recites the main points. In addition, there are summaries at the beginning of each chapter that make sure you won’t get lost.
Exploring The Limits Of Preclassical Mechanics
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Author : Peter Damerow
language : en
Publisher: Springer
Release Date : 1991-12-20
Exploring The Limits Of Preclassical Mechanics written by Peter Damerow and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-12-20 with Science categories.
The question of when and how the basic concepts that characterize modern science arose in Western Europe has long been central to the history of science. This book examines the transition from Renaissance engineering and philosophy of nature to classical mechanics oriented on the central concept of velocity. For this new edition, the authors include a new discussion of the doctrine of proportions, an analysis of the role of traditional statics in the construction of Descartes' impact rules, and go deeper into the debate between Descartes and Hobbes on the explanation of refraction. They also provide significant new material on the early development of Galileo's work on mechanics and the law of fall.
Geometric Mechanics
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Author : Richard Talman
language : en
Publisher: John Wiley & Sons
Release Date : 2008-07-11
Geometric Mechanics written by Richard Talman 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.
Mechanics for the nonmathematician-a modern approach For physicists, mechanics is quite obviously geometric, yet the classical approach typically emphasizes abstract, mathematical formalism. Setting out to make mechanics both accessible and interesting for nonmathematicians, Richard Talman uses geometric methods to reveal qualitative aspects of the theory. He introduces concepts from differential geometry, differential forms, and tensor analysis, then applies them to areas of classical mechanics as well as other areas of physics, including optics, crystal diffraction, electromagnetism, relativity, and quantum mechanics. For easy reference, Dr. Talman treats separately Lagrangian, Hamiltonian, and Newtonian mechanics-exploring their geometric structure through vector fields, symplectic geometry, and gauge invariance respectively. Practical perturbative methods of approximation are also developed. Geometric Mechanics features illustrative examples and assumes only basic knowledge of Lagrangian mechanics. Of related interest . . . APPLIED DYNAMICS With Applications to Multibody and Mechatronic Systems Francis C. Moon A contemporary look at dynamics at an intermediate level, including nonlinear and chaotic dynamics. 1998 (0-471-13828-2) 504 pp. MATHEMATICAL PHYSICS Applied Mathematics for Scientists and Engineers Bruce Kusse and Erik Westwig A comprehensive treatment of the mathematical methods used to solve practical problems in physics and engineering. 1998 (0-471-15431-8) 680 pp.
A Modern Approach To Classical Mechanics
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Author : Harald Iro
language : en
Publisher: World Scientific
Release Date : 2002
A Modern Approach To Classical Mechanics written by Harald Iro and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Science categories.
The approach to classical mechanics adopted in this book includes and stresses recent developments in nonlinear dynamical systems. The concepts necessary to formulate and understand chaotic behavior are presented. Besides the conventional topics (such as oscillators, the Kepler problem, spinning tops and the two centers problem) studied in the frame of Newtonian, Lagrangian, and Hamiltonian mechanics, nonintegrable systems (the Hnon-Heiles system, motion in a Coulomb force field together with a homogeneous magnetic field, the restricted three-body problem) are also discussed. The question of the integrability (of planetary motion, for example) leads finally to the KAM-theorem.This book is the result of lectures on 'Classical Mechanics' as the first part of a basic course in Theoretical Physics. These lectures were given by the author to undergraduate students in their second year at the Johannes Kepler University Linz, Austria. The book is also addressed to lecturers in this field and to physicists who want to obtain a new perspective on classical mechanics.
Classical Mechanics
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Author : Richard Sparapany
language : en
Publisher:
Release Date : 2016-01-22
Classical Mechanics written by Richard Sparapany and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-01-22 with categories.
For the most part, the book presents the same material that is usually covered in a typical first course in mechanics. There are, however, several noteworthy exceptions to this where the material presented here reaches beyond this boundary. Among these are the material on the dot and cross products of vectors, the analysis of the two-body problem, the discussion of flux and Gauss's theorem, the calculation of particular gravitational field configurations, and the philosophical assertions about the existence of fields. These topics are basic to the nature of physics and its applications and, as such, must be addressed early on in any cohesive endeavor to understand the context of physical thinking whether it be classical or modern. They are included here so that they may assume their proper place at the foundation of what might be called the structure of one's thoughts about physics. The material is presented in an order that accommodates an axiomatic approach using Newton's laws as the axioms. The book then proceeds to those analyses that follow most simply from them. This process leads easily and naturally to the definitions of such quantities as momentum, energy, impulse, work, etc. These are the quantities natural to Newtonian mechanics and consequently become the parameters most universally used to describe systems that lend themselves to a Newtonian analysis. As the book develops, it makes use of these basic concepts to address more complex issues such as circular motion, torque, combined translational and circular motion, etc. The book is written in an informal lecture style and is focused on the understanding of Newtonian mechanics rather than on developing a prowess in problem solving. Its uniqueness is difficult to describe as it is laced intractably throughout its pages and derives from the author's ability to cast each topic in the context of the simple manifestation of an understandable underlying principle.