Classical Mechanics


Author: John Robert Taylor
Publisher: University Science Books
ISBN: 9781891389221
Category: Science
Page: 786
View: 5667
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'Classical Mechanics' is intended for students who have studied some mechanics in an introductory physics course. A particular highlight is the chapter on chaos, which focuses on a few simple systems to give truly comprehensible coverage.

Classical Mechanics


Author: Herbert Goldstein,Charles Patton Poole (Jr.),John L. Safko
Publisher: N.A
ISBN: 9781292026558
Category: Engineering
Page: 638
View: 673
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This classic text enables students to make connections between classical and modern physics - an indispensable part of a physicist's education. In this new edition, Beams Medal winner Charles Poole and John Safko have updated the text to include the latest topics, applications, and notation, to reflect today's physics curriculum. They introduce students to the increasingly important role that nonlinearities play in contemporary applications of classical mechanics. New numerical exercises help students to develop skills in how to use computer techniques to solve problems in physics. Mathematical techniques are presented in detail so that the text remains fully accessible to students who have not had an intermediate course in classical mechanics.

Classical Mechanics

Systems of Particles and Hamiltonian Dynamics
Author: Walter Greiner
Publisher: Springer Science & Business Media
ISBN: 9783642034343
Category: Science
Page: 580
View: 8715
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The series of texts on Classical Theoretical Physics is based on the highly successful courses given by Walter Greiner. The volumes provide a complete survey of classical theoretical physics and an enormous number of worked out examples and problems.

Classical Mechanics

2nd Edition
Author: H.C. Corben,Philip Stehle
Publisher: Courier Corporation
ISBN: 0486140784
Category: Science
Page: 416
View: 4261
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Applications not usually taught in physics courses include theory of space-charge limited currents, atmospheric drag, motion of meteoritic dust, variational principles in rocket motion, transfer functions, much more. 1960 edition.

CLASSICAL MECHANICS


Author: G. ARULDHAS
Publisher: PHI Learning Pvt. Ltd.
ISBN: 8120333314
Category: Science
Page: 384
View: 6895
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This book offers an in-depth presentation of the mechanics of particles and systems. The material is thoroughly class-tested and hence eminently suitable as a textbook for a one-semester course in Classical Mechanics for postgraduate students of physics and mathematics. Besides, the book can serve as a useful reference for engineering students at the postgraduate level. The book provides not only a complete treatment of classical theoretical physics but also an enormous number of worked examples and problems to show students clearly how to apply abstract principles and mathematical techniques to realistic problems. While abstraction of theory is minimized, detailed mathematical analysis is provided wherever necessary. Besides an all-embracing coverage of different aspects of classical mechanics, the rapidly growing areas of nonlinear dynamics and chaos are are also included. The chapter on Central Force Motion includes topics like satellite parameters, orbital transfers and scattering problem. An extensive treatment on the essentials of small oscillations which is crucial for the study of molecular vibrations is included. Rigid body motion and special theory of relativity are also covered in two separate chapters.

Mathematical Methods of Classical Mechanics


Author: V.I. Arnol'd
Publisher: Springer Science & Business Media
ISBN: 1475720637
Category: Mathematics
Page: 520
View: 8448
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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.

Classical Mechanics

Theory and Mathematical Modeling
Author: Emmanuele DiBenedetto
Publisher: Springer Science & Business Media
ISBN: 9780817646486
Category: Mathematics
Page: 351
View: 5181
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* 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

Classical Mechanics

Hamiltonian and Lagrangian Formalism
Author: Alexei Deriglazov
Publisher: Springer Science & Business Media
ISBN: 9783642140372
Category: Science
Page: 308
View: 6824
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Formalism of classical mechanics underlies a number of powerful mathematical methods that are widely used in theoretical and mathematical physics. This book considers the basics facts of Lagrangian and Hamiltonian mechanics, as well as related topics, such as canonical transformations, integral invariants, potential motion in geometric setting, symmetries, the Noether theorem and systems with constraints. While in some cases the formalism is developed beyond the traditional level adopted in the standard textbooks on classical mechanics, only elementary mathematical methods are used in the exposition of the material. The mathematical constructions involved are explicitly described and explained, so the book can be a good starting point for the undergraduate student new to this field. At the same time and where possible, intuitive motivations are replaced by explicit proofs and direct computations, preserving the level of rigor that makes the book useful for the graduate students intending to work in one of the branches of the vast field of theoretical physics. To illustrate how classical-mechanics formalism works in other branches of theoretical physics, examples related to electrodynamics, as well as to relativistic and quantum mechanics, are included.

Classical Mechanics


Author: T. W. B. Kibble,Frank H. Berkshire
Publisher: Imperial College Press
ISBN: 9781860944352
Category: Science
Page: 478
View: 6996
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This is the fifth edition of a well-established textbook. It is intended to provide a thorough coverage of the fundamental principles and techniques of classical mechanics, an old subject that is at the base of all of physics, but in which there has also in recent years been rapid development. The book is aimed at undergraduate students of physics and applied mathematics. It emphasizes the basic principles, and aims to progress rapidly to the point of being able to handle physically and mathematically interesting problems, without getting bogged down in excessive formalism. Lagrangian methods are introduced at a relatively early stage, to get students to appreciate their use in simple contexts. Later chapters use Lagrangian and Hamiltonian methods extensively, but in a way that aims to be accessible to undergraduates, while including modern developments at the appropriate level of detail. The subject has been developed considerably recently while retaining a truly central role for all students of physics and applied mathematics.This edition retains all the main features of the fourth edition, including the two chapters on geometry of dynamical systems and on order and chaos, and the new appendices on conics and on dynamical systems near a critical point. The material has been somewhat expanded, in particular to contrast continuous and discrete behaviours. A further appendix has been added on routes to chaos (period-doubling) and related discrete maps. The new edition has also been revised to give more emphasis to specific examples worked out in detail.Classical Mechanics is written for undergraduate students of physics or applied mathematics. It assumes some basic prior knowledge of the fundamental concepts and reasonable familiarity with elementary differential and integral calculus.

Classical Mechanics


Author: Matthew J. Benacquista,Joseph D. Romano
Publisher: Springer
ISBN: 3319687808
Category: Science
Page: 546
View: 1035
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This textbook provides an introduction to classical mechanics at a level intermediate between the typical undergraduate and advanced graduate level. This text describes the background and tools for use in the fields of modern physics, such as quantum mechanics, astrophysics, particle physics, and relativity. Students who have had basic undergraduate classical mechanics or who have a good understanding of the mathematical methods of physics will benefit from this book.

Classical Mechanics

Including an Introduction to the Theory of Elasticity
Author: Reinhard Hentschke
Publisher: Springer
ISBN: 3319487108
Category: Science
Page: 380
View: 8532
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This textbook teaches classical mechanics as one of the foundations of physics. It describes the mechanical stability and motion in physical systems ranging from the molecular to the galactic scale. Aside from the standard topics of mechanics in the physics curriculum, this book includes an introduction to the theory of elasticity and its use in selected modern engineering applications, e.g. dynamic mechanical analysis of viscoelastic materials. The text also covers many aspects of numerical mechanics, ranging from the solution of ordinary differential equations, including molecular dynamics simulation of many particle systems, to the finite element method. Attendant Mathematica programs or parts thereof are provided in conjunction with selected examples. Numerous links allow the reader to connect to related subjects and research topics. Among others this includes statistical mechanics (separate chapter), quantum mechanics, space flight, galactic dynamics, friction, and vibration spectroscopy. An introductory chapter compiles all essential mathematical tools, ranging from coordinates to complex numbers. Completely solved problems and examples facilitate a thorough understanding of the material.

Classical Mechanics


Author: J. Michael Finn
Publisher: Jones & Bartlett Publishers
ISBN: 0763779601
Category: Science
Page: 500
View: 5960
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Classical Mechanics presents an updated treatment of the dynamics of particles and particle systems suitable for students preparing for advanced study of physics and closely related fields, such as astronomy and the applied engineering sciences. Compared to older books on this subject, the mathematical treatment has been updated for the study of more advanced topics in quantum mechanics, statistical mechanics, and nonlinear and orbital mechanics. The text begins with a review of the principles of classical Newtonian dynamics of particles and particle systems and proceeds to show how these principles are modified and extended by developments in the field. The text ends with the unification of space and time given by the Special Theory of Relativity. In addition, Hamiltonian dynamics and the concept of phase space are introduced early on. This allows integration of the concepts of chaos and other nonlinear effects into the main flow of the text. The role of symmetries and the underlying geometric structure of space-time is a key theme. In the latter chapters, the connection between classical and quantum mechanics is examined in some detail.

Introduction to Classical Mechanics

With Problems and Solutions
Author: David Morin
Publisher: Cambridge University Press
ISBN: 1139468375
Category: Science
Page: N.A
View: 6186
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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.

Classical Mechanics


Author: Rana & Joag,Rana
Publisher: Tata McGraw-Hill Education
ISBN: 9780074603154
Category:
Page: N.A
View: 4560
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Classical Mechanics


Author: R. Douglas Gregory
Publisher: Cambridge University Press
ISBN: 1139450042
Category: Science
Page: N.A
View: 8746
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Gregory's Classical Mechanics is a major new textbook for undergraduates in mathematics and physics. It is a thorough, self-contained and highly readable account of a subject many students find difficult. The author's clear and systematic style promotes a good understanding of the subject: each concept is motivated and illustrated by worked examples, while problem sets provide plenty of practice for understanding and technique. Computer assisted problems, some suitable for projects, are also included. The book is structured to make learning the subject easy; there is a natural progression from core topics to more advanced ones and hard topics are treated with particular care. A theme of the book is the importance of conservation principles. These appear first in vectorial mechanics where they are proved and applied to problem solving. They reappear in analytical mechanics, where they are shown to be related to symmetries of the Lagrangian, culminating in Noether's theorem.

Classical Mechanics


Author: Brian Cowan
Publisher: Springer Science & Business Media
ISBN: 9401091714
Category: Science
Page: 117
View: 9596
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The study of mechanics plays a central role in physics for a whole variety of reasons. It was one of the earliest of the quantitative sciences, and had immediate practical applications. These ranged from the study of the motion of projectiles in warfare to the motion of the planets, predicting the seasons, eclipses, etc. At the present time, even though superseded on the very small scale by quantum theory and on the very large scale by the theory of relativity, the mechanics of Newton is perfectly adequate for treating a wide spectrum of problems from the • '"etic theory of gases to the motion of space vehicles. Furthermore, the science of mechanics is regarded by many as the epitome of a good scientific theory and for this reason is studied by philosophers and social scientists alike as an exemplar of the 'scientific method'. We shall commence in Chapter 1 with a brief historical outline of the development of mechanics, mentioning the names and dates of the main participants and summarizing their contributions. Preface vii Chapter 1 Newton's laws 1. 1 Historical introduction Primitive ideas about mechanics were exemplified by the state ments of Aristotle (384-322 Be), who asserted that a force was necessary to maintain motion. Furthermore, he believed that there were different laws for heavenly and earthly bodies.

CLASSICAL MECHANICS


Author: C. R. MONDAL
Publisher: PHI Learning Pvt. Ltd.
ISBN: 9788120335165
Category: Science
Page: 168
View: 8096
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Intended for postgraduate students of mathematics, this compact textbook, written in a clear and readable style, is designed to help readers acquire a thorough understanding of the main themes in classical mechanics. The text is organised into five chapters. After a comprehensive introduction to the terminologies of dynamical systems and generalised coordinates, Lagrange~s equations of motion for holonomic systems, conservative and non-holonomic systems are developed. The author then presents a detailed treatment of Euler-Lagrange equation, equations of motion of rigid bodies and Hamilton~s equations of motion, suitably reinforced with examples to enhance learning. Finally, canonical transformations and Hamilton~s equations of motion in Poisson~s bracket are discussed along with Hamilton-Jacobi theory and Hamilton-Jacobi equation for Hamilton~s principal function. Numerous worked-out examples included throughout the text and end-of-chapter exercises will be of considerable help in compre-hending the application of the principles to physical problems.

Classical Mechanics

Methuen's Monographs on Physical Subjects
Author: J.W. Leech
Publisher: Springer Science & Business Media
ISBN: 9401091692
Category: Science
Page: 153
View: 6905
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It is a feature of the history of the subject that the study of atomic physics was accompanied by a partial neglect of that of classical mechanics. This led to the unsatisfactory situation in which the physicist was expected to assimilate the elements of quantum and statistical mechanics without understanding the classical foundations on which these subjects were built. The situation has improved in recent years through the general lengthening of degree courses, and it is now usual to study the analytical formulation at the late under graduate stage. A number of excellent treatises are available, and there are also many elementary accounts to be found in general works on physical principles. However, there has been available so far no self-contained introduction to the subject which provides the beginner with a broad general review without involving him in too much detail. It is hoped that this book may bridge the gap by pro viding the experimental physicist with a sufficient background for his theoretical understanding and the theorist with some stimulus to study the masterpieces of the subject. The mathematical equipment required is no more than in the normal honours physics course. For the purposes of Chapters IX XI it includes an elementary knowledge of cartesian tensors. A familiarity with Newtonian mechanics and some acquaintance with special relativity theory are presumed, though summarizing accounts are also given.

Classical Dynamics


Author: Donald T. Greenwood
Publisher: Courier Corporation
ISBN: 0486138798
Category: Science
Page: 368
View: 5585
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Graduate-level text provides strong background in more abstract areas of dynamical theory. Hamilton's equations, d'Alembert's principle, Hamilton-Jacobi theory, other topics. Problems and references. 1977 edition.

Classical Mechanics

From Newton to Einstein: A Modern Introduction
Author: Martin W. McCall
Publisher: John Wiley & Sons
ISBN: 1119956129
Category: Science
Page: 250
View: 6144
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This new edition of Classical Mechanics, aimed at undergraduate physics and engineering students, presents ina user-friendly style an authoritative approach to the complementary subjects of classical mechanics and relativity. The text starts with a careful look at Newton's Laws, before applying them in one dimension to oscillations and collisions. More advanced applications - including gravitational orbits and rigid body dynamics - are discussed after the limitations of Newton's inertial frames have been highlighted through an exposition of Einstein's Special Relativity. Examples given throughout are often unusual for an elementary text, but are made accessible to the reader through discussion and diagrams. Updates and additions for this new edition include: New vector notation in Chapter 1 An enhanced discussion of equilibria in Chapter 2 A new section on a body falling a large distance towards a gravitational source in Chapter 2 New sections in Chapter 8 on general rotation about a fixed principal axes, simple examples of principal axes and principal moments of inertia and kinetic energy of a body rotating about a fixed axis New sections in chapter 9: Foucault pendulum and free rotation of a rigid body; the latter including the famous tennis racquet theorem Enhanced chapter summaries at the end of each chapter Novel problems with numerical answers A solutions manual is available at: www.wiley.com/go/mccall