Immanuel Kant's Critique of Pure Reason is widely taken to be the
starting point of the modern period of mathematics while David
Hilbert was the last great mainstream mathematician to pursue
importatn nineteenth century ideas. This two-volume work provides
an overview of this important era of mathematical research through
a carefully chosen selection of articles. They provide an insight
into the foundations of each of the main branches of mathematics -
algebra, geometry, number theory, analysis, logic, and set theory -
with narratives to show how they are linked.
Classic works by Bolzano, Riemann, Hamilton, Dedekind, and Poincare
are reproduced in reliable translations and many selections from
writers such as Gauss, Cantor, Kronecher, and Zermelo are here
translated for the first time. The collection is an invaluable
source for anyone wishing to gain an understanding of the
foundation of modern mathematics.
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