A Century of mathematics in America (History of Mathematics, by Peter L. Duren, Richard Askey, Uta C. Merzbach PDF

By Peter L. Duren, Richard Askey, Uta C. Merzbach

ISBN-10: 0821801309

ISBN-13: 9780821801307

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An important Harvard contemporary of Coolidge was Edward Vermilye Huntington (1874-1952). After completing graduate studies on the foundations of mathematics in Germany, he began a long career of down-to-earth teaching, at first under the auspices of the Lawrence Scientific School. Concurrently, he quickly established a national reputation for clear thinking by definitive research papers on postulate systems for groups, fields, and Boolean algebra. , 1917). From 1907-8 on, he gave biennially a course (Mathematics 27) on "Fundamental Concepts of Mathematics", cross-listed by the philosophy deptartment (see the end of §8), which introduced students to abstract mathematics.

Peirce at Chauncey Wright's Metaphysical Club in the 1870s. In this lecture, Peirce claimed that the human mind created ideas in order to consider the effects of pursuing different courses of action. This lecture deeply impressed William James (1842-1910), whose 1895 Principles of Psychology was a major landmark in that subject [EB 12, 1863-5]. During our Civil War, James had studied anatomy at the Lawrence Scientific School and Harvard Medical School, inspired by Jeffries Wyman and Louis Agassiz.

B. Morrey, D. C. Lewis, G. Baley Price, and Hassler Whitney. Four of them (Morse, Walsh, Stone, and Morrey) would become AMS presidents. In retrospect, my father's role in bringing topology to Harvard (as Veblen did to Princeton), at a time just after L. E. J. Brouwer had proved some of its most basic theorems rigorously, seems to me especially remarkable. So does his early introduction to Harvard of functional analysis, through his 1922 paper with O. D. Kellogg on "Invariant points in function space", his probable influence on Stone and Koopman, and his "pointwise ergodic theorem" of 1931.

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A Century of mathematics in America (History of Mathematics, Vol 2) by Peter L. Duren, Richard Askey, Uta C. Merzbach


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