Classical Mechanics of Particles and Rigid Bodies
Classical Mechanics of Particles and Rigid Bodies

Author: Kiran Chandra Gupta

Publisher: John Wiley & Sons

Published: 1988

Total Pages: 670

ISBN-13:

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Comprehensive yet simply-written, this text provides a classical treatment of the mechanics of particles and rigid bodies, and contains nearly 200 examples and solved problems. The solved problems are supplemented by many more unsolved ones and revision questions at the end of each chapter. Exposition emphasizes the analogy between certain aspects of classical mechanics and quantum mechanics. The last chapter is devoted to non-linear oscillatory systems. Topics covered include the Lagrangian formalism, the Hamiltonian formalism, decay and scattering processes, kinematics and dynamics of rigid body motion, the special theory of relativity, relativistic classical mechanics, continuous systems and classical fields.

Classical Dynamics of Particles and Systems
Classical Dynamics of Particles and Systems

Author: Jerry B. Marion

Publisher: Academic Press

Published: 2013-10-22

Total Pages: 593

ISBN-13: 1483272818

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Classical Dynamics of Particles and Systems presents a modern and reasonably complete account of the classical mechanics of particles, systems of particles, and rigid bodies for physics students at the advanced undergraduate level. The book aims to present a modern treatment of classical mechanical systems in such a way that the transition to the quantum theory of physics can be made with the least possible difficulty; to acquaint the student with new mathematical techniques and provide sufficient practice in solving problems; and to impart to the student some degree of sophistication in handling both the formalism of the theory and the operational technique of problem solving. Vector methods are developed in the first two chapters and are used throughout the book. Other chapters cover the fundamentals of Newtonian mechanics, the special theory of relativity, gravitational attraction and potentials, oscillatory motion, Lagrangian and Hamiltonian dynamics, central-force motion, two-particle collisions, and the wave equation.

Theoretical Mechanics of Particles and Continua
Theoretical Mechanics of Particles and Continua

Author: Alexander L. Fetter

Publisher: Courier Corporation

Published: 2003-12-16

Total Pages: 596

ISBN-13: 0486432610

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This two-part text fills what has often been a void in the first-year graduate physics curriculum. Through its examination of particles and continua, it supplies a lucid and self-contained account of classical mechanics — which in turn provides a natural framework for introducing many of the advanced mathematical concepts in physics. The text opens with Newton's laws of motion and systematically develops the dynamics of classical particles, with chapters on basic principles, rotating coordinate systems, lagrangian formalism, small oscillations, dynamics of rigid bodies, and hamiltonian formalism, including a brief discussion of the transition to quantum mechanics. This part of the book also considers examples of the limiting behavior of many particles, facilitating the eventual transition to a continuous medium. The second part deals with classical continua, including chapters on string membranes, sound waves, surface waves on nonviscous fluids, heat conduction, viscous fluids, and elastic media. Each of these self-contained chapters provides the relevant physical background and develops the appropriate mathematical techniques, and problems of varying difficulty appear throughout the text.

Introduction to Mechanics of Particles and Systems
Introduction to Mechanics of Particles and Systems

Author: Costas J. Papachristou

Publisher: Springer Nature

Published: 2020-09-09

Total Pages: 267

ISBN-13: 3030542718

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This book is based on the author’s lecture notes for his Introductory Newtonian Mechanics course at the Hellenic Naval Academy. In order to familiarize students with the use of several basic mathematical tools, such as vectors, differential operators and differential equations, it first presents the elements of vector analysis that are needed in the subsequent chapters. Further, the Mathematical Supplement at the end of the book offers a brief introduction to the concepts of differential calculus mentioned. The main text is divided into three parts, the first of which presents the mechanics of a single particle from both the kinetic and the dynamical perspectives. The second part then focuses on the mechanics of more complex structures, such as systems of particles, rigid bodies and ideal fluids, while the third part consists of 60 fully solved problems. Though chiefly intended as a primary text for freshman-level physics courses, the book can also be used as a supplemental (tutorial) resource for introductory courses on classical mechanics for physicists and engineers

Classical Dynamics
Classical Dynamics

Author: Jorge V. José

Publisher: Cambridge University Press

Published: 1998-08-13

Total Pages: 702

ISBN-13: 9780521636360

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A comprehensive graduate-level textbook on classical dynamics with many worked examples and over 200 homework exercises, first published in 1998.

Classical Mechanics
Classical Mechanics

Author: H.C. Corben

Publisher: Courier Corporation

Published: 2013-01-17

Total Pages: 417

ISBN-13: 0486140784

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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
Classical Mechanics

Author: Walter Greiner

Publisher: Springer Science & Business Media

Published: 2009-11-13

Total Pages: 574

ISBN-13: 3642034349

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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.

Introduction to Classical Mechanics
Introduction to Classical Mechanics

Author: Roy, Nikhil Ranjan

Publisher: Vikas Publishing House

Published:

Total Pages: 350

ISBN-13: 932599402X

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The book deals with the mechanics of particles and rigid bodies. It is written for the undergraduate students of physics and meets the syllabus requirements of most Indian universities. It also covers the entire syllabus on classical/analytical mechanics for various national and state level examinations like NET, GATE and SLET. Some of the topics in the book are included in the curricula of applied mathematics in several institutions as well. KEY FEATURES • Main emphasis is on the evolution of the subject, the underlying ideas, the concepts, the laws and the mathematical methods • Written in the style of classroom teaching so that the students may benefit from it by way of self-study • Step-by-step derivation of concepts, with each step clearly numbered • Concepts explained with the help of relevant examples to aid understanding

New Foundations for Classical Mechanics
New Foundations for Classical Mechanics

Author: D. Hestenes

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 655

ISBN-13: 9400948026

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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.