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David Hilbert: Algebra and Axiomatics

In: Modern Algebra and the Rise of Mathematical Structures

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  • Leo Corry

    (Tel Aviv University, The Cohn Institute for the History and Philosophy of Science and Ideas)

Abstract

Few accounts of the development of particular mathematical disciplines around the turn of the century can be complete without analyzing Hilbert’s contribution to them. Algebra, and the particular account presented here, are no exception to this rule.1 David Hilbert (1862-1943) was the leading mathematician of his era, and the mathematical institute in Göttingen—first under the leadership of Felix Klein (1849-1925) and later on under Hilbert—became the world center of mathematics until the rise of Nazism in Germany.2 Dedekind also spent his early career in Göttingen, many years before Hilbert’s arrival there. Later on, Emmy Noether—invited to Göttingen by Hilbert in 1915—developed her own algebraic work at the same place.

Suggested Citation

  • Leo Corry, 2004. "David Hilbert: Algebra and Axiomatics," Springer Books, in: Modern Algebra and the Rise of Mathematical Structures, chapter 0, pages 137-182, Springer.
    • Handle: RePEc:spr:sprchp:978-3-0348-7917-0_4
    DOI: 10.1007/978-3-0348-7917-0_4
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