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**Extra resources for A Century of mathematics in America (History of Mathematics, Vol 2)**

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Math. Soc. 5 (1904), 288-309, contains a deferential reference to Peirce's 1880 article on the same subject, and a letter from Peirce which totally misrepresents the facts, and shows how far he had slipped since 1881. The facts are as follows. Never analyzed critically at Harvard, Peirce's pioneer papers on the algebra of relations and his 1881 article basing Boolean algebra on the concept of partial order inspired the German logician Ernst Schroder. First in his Operationskreis des Logikkalkuls, and then in his three volume Algebra der Logik (1890-95), Schroder made a systematic study of Peirce's papers.

Most striking was Walsh's result that, in any bounded simply connected domain with boundary C, every harmonic function is the limit of a sequence of harmonic polynomials which converges uniformly on any closed set interior to C (Bull. Amer. Math. Soc. 35 (1929), 499-544). Brinkmann came from Stanford, where H. F. Blichfeldt had interested him in group representations. A year's post-doctoral stay in Gottingen with Emmy Noether had not converted him to the axiomatic approach. A brilliant and versatile lecturer, his graduate courses were mostly on algebra and number theory, in which he interested J.

Recognizing their widespread occurrence in "modern algebra" and point-set topology, I wrote a paper giving "a number of interesting applications" of what I called "lattice theory", and wrote my father about them. He mentioned my results to Oystein Ore at Yale, who had taught algebra to both Marshall Hall and Saunders Mac Lane. Ore immediately recalled Dedekind's prior work, and soon a major renaissance of the subject was under way. This has been ably described by H. Mehrtens in his book, Die Entstehung der Verbande, cf.