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nydus/An Introduction to MathematicsPublic

This book provides an overview of mathematical concepts, focusing on the fundamental ideas behind the science rather than technical procedures. It covers topics ranging from variables, symbolism, and geometry to calculus and the periodicity of nature.

Page 66 of 116
Table of Contents

XI

Take the example of the railway train. Its velocity is continuous as it passes the signal box, if whatever velocity you like to assign (say one-millionth of a mile per hour) an interval of time can be found extending before and after the instant of passing, such that at all instants within it the train's velocity

differs from that with which the train passed the box by less than one-millionth of a mile per hour; and the same is true whatever other velocity be mentioned in the place of one-millionth of a mile per hour.

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