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An Introduction to Linear Analysis (Addison-Wesley Series in by Donald L. Kreider, Robert G. Kuller, Donald R. Ostberg, PDF

By Donald L. Kreider, Robert G. Kuller, Donald R. Ostberg, Fred W. Perkins, Lynn H. LOoomis

ISBN-10: 020103946X

ISBN-13: 9780201039467

An advent to Linear research

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From the outcome of the Michelson-Morley experiment, we conclude that the law of propagation of light takes the same form in all inertial systems. Had the outcome of the Michelson-Morley experiment been positive, in other words, if it were possible to determine the state of motion of the "ether," we should naturally have based our definition of simultaneity on the frame of reference connected with the ether, and thereby have given it absolute significance. Chap. IV But THE LORENTZ TRANSFORMATION ] after a while, D* and as we know from our D will 33 be a considerable distance apart; and, hands cannot assume earlier considerations, their equivalent positions simultaneously from the points of view both of the ground observer and of the train observer.

Nevertheless, no effect was observed. An impasse was at hand: Xo consistent theory would agree with the results of Fizeau's experiment, the Michelson-Morley experiment, and A great number of additional experiments were performed along similar lines. Their discussion can be omitted here, because they did not change the situation materially. What was needed was not more experiments, but some new theory which would explain the apparent contradictions. the effect of aberration. The ether hypothesis.

The ether hypothesis. new theory, the theory Before launching into an explanation of that of relativity, we mention a hypothesis which Chap. Ill ] THE PROPAGATION OF LIGHT 27 today has only historical significance. Physicists had been accustomed When Faraday, Maxwell, and to think largely in terms of mechanics. Hertz created the first field theory, it was only natural that attempts were made by many physicists to explain the new fields in terms of mechanical concepts. Maxwell and Hertz themselves contributed to these efforts.

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An Introduction to Linear Analysis (Addison-Wesley Series in Mathematics) by Donald L. Kreider, Robert G. Kuller, Donald R. Ostberg, Fred W. Perkins, Lynn H. LOoomis


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