Classical Mechanics and Relativity (2版)

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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.

UNUSUALLY SPECIAL RELATIVITY

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Iconoclastic physics professor and artist Andrzej Dragan presents a unique feast of knowledge on special relativity in a straightforward, progressive manner that even a savvy high school student could follow. Encompassing the derivation of Lorentz transformations to Wigner rotations and Thomas precession; from non-inertial accelerated reference frames to event horizons, curved spacetime, and static black holes; and from the Doppler effect to relativistic structure of electromagnetism, Dragan peels back the enigmatic layers of modern physics to enable a deeper understanding of Einstein's groundbreaking theory. Comprehensive and elegantly written, full of insightful apparent paradoxes and riddles, but without any complicated math, Dragan's unique overview takes the reader well beyond the orthodox verses of standard Special Relativity to the bleeding edge of "new-fangled" superluminal apocrypha and their relation to Quantum Theory. The book is based on a course on Special Relativity and acclaimed by students taught by Dragan who is a leader of a research group on Relativistic Quantum Information theory at the University of Warsaw and the National University of Singapore.

The Advent of Relativity

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This clear exposition of the history of the development of physical ideas which eventually led to the discovery of special relativity is a narration of how physicists, from Galileo, Newton to Lorentz, Poincare and Einstein were distracted in their reflections by numerous fallacies (like aether, dragged or not). Then by experiment, it was finally understood that the laws of cinematics and dynamics of the objects moving at high speed can only be formulated with physical definions for what is distance, time or force. After that and from the two basic Einstein postulates the principle of relativity and the constancy of the speed of light everything else followed. As the emphasis is on being exact from the scientific viewpoint, it is also accessible to any person with a high school background. The last chapter "Photon dreams" is addressed to science fiction fans. However, the author proves to the disappointed reader that the laws of physics that we know do not allow the construction of spaceships that could reach even the nearest stars during the life span of the team.

Essentials of Quantum Mechanics and Relativity

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Quantum mechanics and relativity are two important topics of modern physics. This book serves as an introduction to the essential topics in the fields. It is suitable for a one-semester course for undergraduate students. The book is concise and the discussions are easy to follow. Interested students can also used this as a study guide for self-learning.