Elements Of The Differential And Integral Calculus: Method of Rates: Method Of Rates (1890) - Softcover

Hardy, Arthur Sherburne

9780548630563: Elements Of The Differential And Integral Calculus: Method of Rates: Method Of Rates (1890)

Softcover

ISBN 10: 0548630569 ISBN 13: 9780548630563

Verlag: Kessinger Pub Co, 2007

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Calculus. No comparisons have been made between this method and those of limits or of infinitesimals. This larger view of the Calculus, and of mathematical reasoning and processes in general, cannot readily be given with good results in the brief time allotted the subject in the general college course. The immediate object of theD ifferential Calculus is the measurement and comparison of rates of change when the change is not uniform. Whether a quantity is or is not changing uniformly, however, the rate at any instant is determined in essentially the same manner; viz. by ascertaining what its change would have been in a unit of time had its rate remained what it was at the instant in question. It is this change which the Calculus enables us to determine, however complicated the law of variation may be.
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