11 - 14 of 14 Chapters
[However, geometry is no exception and the same can be said about analysis. Only the twentieth century brought this awareness of the essential ways in which mathematics develops and changes, and even today this knowledge is still very far from being widespread.]
[Having set out to study the development of the basic concepts of analysis, we shall refrain from celebrating successes; instead, we shall concentrate on his contributions to the basic concepts of analysis. However, regarding the concept of number, both happened to coincide.]
[For example, it is impossible to express the exact length of the diagonal of a square with side 1 in fractions. (This proof is very instructive and not complicated, but it does not belong to analysis and so it is omitted here.)]
[It is quite astonishing to discover which precarious arguments are sometimes accepted as being mathematically sound.]
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