Born in Konigsberg, Germany, David Hilbert was professor of mathematics at Gottingen from to Hilbert was among the earliest adherents of Cantor's new transfinite set theory. Despite the controversy that arose over the subject, Hilbert maintained that "no one shall drive us from this paradise of the infinite " Hilbert, "Uber das Unendliche," Mathematische Annalen []. It has been said that Hilbert was the last of the great universalist mathematicians and that he was knowledgeable in every area of mathematics, making important contributions to all of them the same has been said of Poincare. Hilbert's publications include impressive works on algebra and number theory by applying methods of analysis he was able to solve the famous "Waring's Problem".

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Thank you for visiting nature. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser or turn off compatibility mode in Internet Explorer. In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript. A Nature Research Journal. Hilbert has been expanded by Dr. Cohn-Vossen, in a pleasant style perfectly suited to the subject, into surely the most fascinating volume ever offered to the ordinary mathematician.

Consider the main topics: thread constructions and linkages; lattices, with applications in two dimensions to the theory of numbers and in three dimensions to crystallography; the simpler configurations, including the double-six; the elements of differential geometry, with an account of the elliptic and hyperbolic planes; and lastly, topology, with a long section on one-sided surfaces, and a proof of the fundamental fixed-point theorem in the theory of continuous transformations, as well as an exact statement of the difficulties in the familiar four-colour problem.

Von D. Hilbert S. Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen, herausgegeben von R. Courant, Band Berlin: Julius Springer, Reprints and Permissions. Anschauliche Geometrie. Nature , — Download citation. Issue Date : 09 September By submitting a comment you agree to abide by our Terms and Community Guidelines.

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Anschauliche Geometrie

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