John Taylor has brought to his new book, Classical Mechanics , all of the clarity and insight that made his Introduction to Error Analysis a best-selling text. Classical Mechanics is intended for students who have studied some mechanics in an introductory physics course and covers such topics as conservation laws, oscillations, Lagrangian mechanics, two-body problems, non-inertial frames, rigid bodies, normal modes, chaos theory, Hamiltonian mechanics, and continuum mechanics. A particular highlight is the chapter on chaos, which focuses on a few simple systems, to give a truly comprehensible introduction to the concepts that we hear so much about. At the end of each chapter is a large selection of interesting problems for the student, classified by topic and approximate difficulty, and ranging from simple exercises to challenging computer projects. Taylor´s Classical Mechanics is a thorough and very readable introduction to a subject that is four hundred years old but as exciting today as ever. He manages to convey that excitement as well as deep understanding and insight.
This upper-level undergraduate and beginning graduate textbook primarily covers the theory and application of Newtonian and Lagrangian, but also of Hamiltonian mechanics. In addition, included are elements of continuum mechanics and the accompanying classical field theory, wherein four-vector notation is introduced without explicit reference to special relativity. The author´s writing style attempts to ease students through the primary and secondary results, thus building a solid foundation for understanding applications. Numerous examples illustrate the material and often present alternative approaches to the final results.
For thirty years this has been the acknowledged standard in advanced classical mechanics courses. 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. Product Description For 30 years, this book has been the acknowledged standard in advanced classical mechanics courses. This classic book enables readers 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 book to include the latest topics, applications, and notation to reflect today´s physics curriculum. Features + Benefits The classic approach of this leading text has been revised and updated without increasing the overall length of the book. NEW - NEW! Chapter 11 on classical chaos theory builds from the Hamilton-Jacobi theory to introduce nonlinear dynamics and fractal dimensionality as it relates to classical mechanics. REVISED! Chapter 7 now presents special relativity using the standard real metric (in lieu of the complex Minkowski space) and coordinate-free notation, and includes a brief introduction to the concepts of general relativity. UPDATED! A section on the Euler and Lagrange exact solutions to the three-body problem has been added to Chapter 3. UPDATED! A section on the damped driven oscillator as an example of the workings of the Josephson junction has been added to Chapter 6. REVISED! Chapter 12 on Canonical Perturbation Theory has been streamlined and the mathematics has been simplified. NEW - NEW! Approximately 45 new problems, mostly in Chapters One through Eight and Eleven. Problem sets are now helpfully divided into ´´Derivations´´ and ´´Exercises.´´ 1. Survey of the Elementary Principles. 2. Variational Principles and Lagrange´s Equations. UPDATED! 3. The Central Force Problem. 4. The Kinematics of Rigid Body Motion. 5. The Rigid Body Equations of Motion. UPDATED! 6. Oscillations. REVISED! 7. The Classical Mechanics of the Special Theory of Relativity. 8. The Hamiltonian Equations of Motion. 9. Canonical Transformations. 10. Hamilton-Jacobi Theory and Action Angle Variables. NEW! 11. Classical Chaos. REVISED! 12. Canonical Perturbation Theory. 13. Introduction to Lagrangian and Hamiltonian Formulations for Continuous Systems and Fields. Appendixes. Select Bibliography. Index. For thirty years this has been the acknowledged standard in advanced classical mechanics courses. 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.
This self-contained textbook with exercises discusses a broad range of selected topics from classical mechanics and electromagnetic theory that inform key issues related to modern accelerators. Part I presents fundamentals of the Lagrangian and Hamiltonian formalism for mechanical systems, canonical transformations, action-angle variables, and then linear and nonlinear oscillators. The Hamiltonian for a circular accelerator is used to evaluate the equations of motion, the action, and betatron oscillations in an accelerator. From this base, we explore the impact of field errors and nonlinear resonances. This part ends with the concept of the distribution function and an introduction to the kinetic equation to describe large ensembles of charged particles and to supplement the previous single-particle analysis of beam dynamics. Part II focuses on classical electromagnetism and begins with an analysis of the electromagnetic field from relativistic beams, both in vacuum and in a resistive pipe. Plane electromagnetic waves and modes in waveguides and radio-frequency cavities are also discussed. The focus then turns to radiation processes of relativistic beams in different conditions, including transition, diffraction, synchrotron, and undulator radiation. Fundamental concepts such as the retarded time for the observed field from a charged particle, coherent and incoherent radiation, and the formation length of radiation are introduced. We conclude with a discussion of laser-driven acceleration of charged particles and the radiation damping effect. Appendices on electromagnetism and special relativity are included, and references are given in some chapters as a launching point for further reading. This text is intended for graduate students who are beginning to explore the field of accelerator physics, but is also recommended for those who are familiar with particle accelerators but wish to delve further into the theory underlying some of the more pressing concerns in their design and operation.
A complete basic undergraduate course in modern optics for students in physics, technology, and engineering. The first half deals with classical physical optics; the second, quantum nature of light. Solutions.
Devoted to the foundation of mechanics, namely classical Newtonian mechanics, this mechanics text is based mainly on Galileo´s principle of relativity and Hamilton´s principle of least action. The exposition is simple and leads to a complete and direct means of solving problems in mechanics.
This textbook introduces readers to the detailed and methodical resolution of classical and more recent problems in analytical mechanics. This valuable learning tool includes worked examples and 40 exercises with step-by-step solutions, carefully chosen for their importance in classical, celestial and quantum mechanics. The collection comprises six chapters, offering essential exercises on: (1) Lagrange Equations; (2) Hamilton Equations; (3) the First Integral and Variational Principle; (4) Canonical Transformations; (5) Hamilton - Jacobi Equations; and (6) Phase Integral and Angular Frequencies Each chapter begins with a brief theoretical review before presenting the clearly solved exercises. The last two chapters are of particular interest, because of the importance and flexibility of the Hamilton-Jacobi method in solving many mechanical problems in classical mechanics, as well as quantum and celestial mechanics. Above all, the book provides students and teachers alike with detailed, point-by-point and step-by-step solutions of exercises in Lagrangian and Hamiltonian mechanics, which are central to most problems in classical physics, astronomy, celestial mechanics and quantum physics.
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