By William Bragg Ewald

Immanuel Kant's *Critique of natural Reason* is broadly taken to be the place to begin of the trendy interval of arithmetic whereas David Hilbert was once the final nice mainstream mathematician to pursue importatn 19th century rules. This two-volume paintings presents an outline of this significant period of mathematical learn via a gently selected choice of articles. they supply an perception into the rules of every of the most branches of arithmetic - algebra, geometry, quantity idea, research, good judgment, and set concept - with narratives to teach how they're associated. vintage works by means of Bolzano, Riemann, Hamilton, Dedekind, and Poincare are reproduced in trustworthy translations and lots of choices from writers similar to Gauss, Cantor, Kronecher, and Zermelo are right here translated for the 1st time. the gathering is a useful resource for a person wishing to realize an figuring out of the basis of contemporary arithmetic.

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