Introduction to special relativity
This textbook offers a concise but thorough treatment of the theory of special relativity for advanced undergraduate and beginning graduate students. Assuming no prior knowledge of relativity, the author elaborates the underlying logic and describes the subtleties and apparent paradoxes. The text also contains a large number of problems which cover the basic modes of thinking and calculating in special relativity. Emphasis is placed on developing the student's intuitive understanding of space-time geometry along with the necessary methods of four-tensor calculus, though three-dimensional methods are also described. This updated new edition contains additional examples and problems, and the chapter on relativistic mechanics of continua has been substantially rewritten.
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THE FOUNDATIONS OF SPECIAL RELATIVITY 1 Introduction
Schematic account of the MichelsonMorley experiment
Inertial frames in special relativity
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analogous angle angular momentum arbitrary axes axiom clocks CM frame collision components conservation consider constant contravariant coordinate systems corresponding define derivative diagram differential dilation direction displacement vector Doppler Einstein's elastic electromagnetic field electron energy current energy tensor equal equivalent ether Euclidean example field equations fluid formula four-acceleration four-force four-momentum four-tensor four-vector four-velocity frequency Galilean transformation given Hint inertial frame instantaneous rest frame invariant kinetic energy length contraction linear Lorentz factor Lorentz transformation Minkowski momentum density motion Newton's null observer orthogonal parallel particle's particles move photon physical plane proper acceleration prove purely quotient rule relativistic relativity of simultaneity rest mass result rotation satisfies scalar Section signal simultaneity space spacetime spatial special relativity speed of light standard configuration stress symmetry three-vector timelike uniformly unit volume usual second frame vanish velocity wave wavetrain worldline x-axis y-factor zero