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An Introduction to Mathematics (Illustrated - Full Mathematical Notation)

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THE ABSTRACT NATURE OF MATHEMATICS

The study of mathematics is apt to commence in disappointment. The important applications of the science, the theoretical interest of its ideas, and the logical rigor of its methods, all generate the expectation of a speedy introduction to processes of interest. We are told that by its aid the stars are weighed and the billions of molecules in a drop of water are counted. Yet, like the ghost of Hamlet's father, this great science eludes the efforts of ou…