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(特價700)Classical Mechanics Systems of Particles and Hamiltonian Dynamics 2003
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(特價700)Classical Mechanics Systems of Particles and Hamiltonian Dynamics 2003
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We are pleased by the positive resonance of our book which now necessitates a fourth edition. We have used this opportunity to implement corrections of misprints and amendments at several places, and to extend and improve the discussion of many of the exercises and examples. We hope that our presentation of the method of equivalent photons (Example 3. 17), the form factor of the electron (Example 5. 7), the infrared catastrophe (Example 5. 8) and the energy shift of atomic levels (Example 5. 9)arenow even better to understand. The new Exercise 5. 10 shows in detail how to arrive at the non-relativistic limit for the calculation of form factors. Moreover, we have brought up-to-date the Biographical Notes about physicists who have contributed to the dev- opment of quantum electrodynamics, and references to experimental tests of the t- ory. For example, there has been recent progress in the determination of the electric and magnetic form factors of the proton (discussed in Exercise 3. 5 on the Rosenbluth formula) and the Lamb shift of high-Z atoms (discussed in Example 5. 9 on the energy shift of atomic levels), while the experimental veri cation of the birefringence of the QED vacuum in a strong magnetic eld (Example 7. 8) remains unsettled and is a topic of active ongoing research.
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【簡介】 The book gives a general introduction to classical theoretical physics, in the fields of mechanics, relativity and electromagnetism. It is analytical in approach and detailed in the derivations of physical consequences from the fundamental principles in each of the fields. This second edition has a new part, namely Classical Field Theory. Highlighting a close connection between this part and earlier parts of the book, where particles, rather than fields are the center of attention. As a general introduction to classical theoretical physics, the book is different from most textbooks at this level, which focus either on classical mechanics or classical electrodynamics but not both. The book will in particular be useful as a textbook for physics courses with such a broader approach to classical physics. For a wider group of students, the book may be of interest for self study. The new inclusion on classical field theory, will give students greater understanding on previous parts of the book, such as examining the Lagrangian formulation of Maxwell's equations with Noether's theorem. This is central in the use of Lagrangian on fields, as also discussed. The text is illustrated with many figures, most of these in color. There are many useful examples and exercises which complement the derivations in the text. 【目錄】 Analytical Mechanics: Generalized Coordinates Lagrange's Equations Hamiltonian Dynamics Relativity: The Four-Dimensional Space-Time Consequences of the Lorentz Transformations Four-Vector Formalism and Covariant Equations Relativistic Kinematics Relativistic Dynamics Electrodynamics: Maxwell's Equations Electromagnetic Field Dynamics Maxwell's Equations with Stationary Sources Electromagnetic Radiation Classical Field Theory: Lagrangian and Hamiltonian Formulations Symmetry Transformations Relativistic Fields
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【簡介】 The text covers the entire domain of basic classical mechanics and relativity theory (special and general) and has been revised mainly for the purpose of adding exercises without worked solutions that were missing in the first edition. To retain the format of a readable, yet advanced introductory text that can serve as the companion text for a course in mechanics, the more than 100 new exercises on diverse topics are of moderate range; answers are given and occasionally hints are provided. As before, the text aims to cover the entire spectrum of theoretical mechanics from Newton to Einstein. The reader can observe how in the course of time, deeper and deeper insights were achieved with the development of the basic equations of Newton to those of Euler and Lagrange, and to the geodesic equations of space-time and Einstein's relativity. To include diverse problems, a small section on this topic has been added. 【目錄】 Chapter 1: Introduction Contents: Preface to Second Edition Preface to First Edition Introduction Recapitulation of Newtonian Mechanics The Lagrange Formalism The Canonical or Hamilton Formalism Symmetries and Transformations Looking Beyond Classical Mechanics Two-Body Central Forces Rigid Body Dynamics Small Oscillations and Stability Motivation of the Theory of Relativity A Simple Look at Phenomenological Consequences Aspects of Special Relativity Equation of Motion of a Particle in a Gravitational Field Tensor Calculus for Riemann Spaces Einstein's Equation of the Gravitational Field The Schwarzschild Solution Appendix A: Schwarzschild Orbit Solution Appendix B: Reissner–Nordstrom Metric Bibliography Index Readership: Undergraduate and graduate students who are interested in mechanics and relativity.
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Based on the lecture notes for a course on Classical Mechanics, students with a basic knowledge of calculus should be able to follow this book. Unlike other textbooks, exercises are not included because the main goal is to equip students with the skills to problem-solve. An old-fashioned yet efficient method has been to provide a step-by-step derivation of the fundamental formulas, giving students an overview of the subject through various illustrative examples and showing how to apply the general results to relevant problems in Classical Mechanics. Sample Chapter(s) Preface Chapter 1: Force and Energy Contents: Force and Energy Newtonian Gravity Scattering and Systems of Particles Non-Inertial Frames Extended Rigid Bodies Lagrangian Formulation Hamiltonian Formulation Variational Problems Appendices: Derivation of the Lagrange Equations Prolate and Oblate Coordinates Laplace Equation Readership: Graduate students in Classical Mechanics with a basic knowledge of Calculus.
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"This Problems and Solutions book addresses the numerous problems in the textbook that develops elementary classical mechanics in a setting that is appropriate for beginning university mathematics students without requiring a background in physics. It is an ideal first look at the subject for those who will go on to study more advanced aspects of the subject, such as Lagrangian, Hamiltonian, and quantum mechanics. These more advanced developments of mechanics are at the forefront of research in modern mathematics. Certainly, topics such as symplectic geometry, Lagrangian intersection theory, spectral theory, pseudodifferential operators, etc. do not require a background in classical mechanics, but studies in these areas are greatly enriched by a knowledge of their roots and how some of their motivational issues arose. Request Inspection Copy Sample Chapter(s) Preface Chapter 1: Solutions for Problem Set 1 Contents: Preface List of Figures Solutions for Problem Set 1 Solutions for Problem Set 2 Solutions for Problem Set 3 Solutions for Problem Set 4 Solutions for Problem Set 5 Solutions for Problem Set 6 Solutions for Problem Set 7 Solutions for Problem Set 8 Solutions for Problem Set 9 Solutions for Problem Set 10 Solutions for Problem Set 11 Readership: Undergraduate students in physics, mathematics and engineering."