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Elementary Mathematics from a Higher Standpoint: 2016

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Table of Contents

First Part: On Functions of a Real Variable and their Representation in an Orthogonal Coordinate System. I. Remarks on the Single Independent Variable x.- II. Functions f (x) of a Real Variable x.- III. The Approximated Representation of Functions.- IV. Further Discussion About the Trigonometric Representation of Functions.- V. Functions of Two Variables. Second Part: Free Geometry of Plane Curve. I. Precision Geometry Considerations in Plane Geometry.- II. Further Considerations of Precision Mathematics on Plane Geometry.- III. Transition to Practical Geometry: a) Geodesy.- IV. Further Considerations on Practical Geometry: b) Drawing Geometry.Third Part: About the Perception of Idealised Structures by Means of Drawings and Models. Name Index.- Subject Index.

About the Author

Felix Klein (1849-1925) was a leading German mathematician whose research interests included group theory, complex analysis, and geometry. His work influenced many areas of mathematics and related subjects, ranging from mathematical physics to mathematical didactics.To this day, Felix Klein is considered one of the most important mathematicians of the 19th century.

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