On the Axiomatization of Group Theory by American Mathematicians: 1902 – 1905

Raffaella Franci

A chapter in Amphora, 1992, pp 261-277 from Springer

Abstract: Abstract Mathematical research in America1 reached a good scientific level only in the last decade of the nineteenth century,2 afterwards it grew very quickly.3 Accurate reports on this development were made in 1938 on the occasion of the American Mathematical Society Semicentennial. In particular E. T. BELL made a detailed report on algebra,4 where he pointed out that American algebra showed a considerable tendency to abstractness, contrary to what some sociologists might have expected, i.e. that “American algebraists should have shown a preference for the immediately practical, say refinements in the numerical solutions of equations occurring in engineering, or perfections of vector analysis useful in physics„. The major interests of American algebraists were in fact in: group theory, linear algebra, postulate systems, modular invariants, theory of equations, algebraic invariants.

Date: 1992
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DOI: 10.1007/978-3-0348-8599-7_13

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