Titlebook: Elementary Mathematics from a Higher Standpoint; Volume III: Precisio Felix Klein Book 2016 Springer-Verlag Berlin Heidelberg 2016 Geometry

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IV. Further Discussion About the Trigonometric Representation of Functionsm going to speak now. I observe at first that, as far as I know, we cannot find, in the literature, an easy formula for the .. Yet, it is this series that one uses the most in applications when one is dealing with periodic phenomena that are to be represented as functions of time. I mention here som

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V. Functions of Two Variables) we always had to stress the contrast between approximation and precision mathematics. The various practical applications of mathematics were then linked to approximation mathematics. Geometry lies, in a manner of speaking, in the middle. Here we are using geometry mainly to facilitate the understa

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I. Precision Geometry Considerations in Plane Geometrythe most basic definitions needed: .1. The coordinates ., . of a point are numbers according to the modern concept of number, that is, we define them as finite or infinite decimal fractions with a positive or negative sign. .2. A set of such points becomes, if it is infinite, object of a detailed ma

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