Download Citation on ResearchGate | Associative algebras / Richard S. Pierce | Incluye bibliografía e índice }. ASSOCIATIVE ALGEBRAS. (Graduate Texts in Mathematics, 88). By R. S. PIERCE: pp DM—; US$ (Springer-Verlag, Berlin, ) This book . Get this from a library! Associative algebras. [Richard S Pierce].
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He made contributions to celestial mechanicsstatistics, number theoryalgebraand the philosophy of mathematics. After graduating from Harvard University inhe remained as a tutorand was subsequently appointed professor of mathematics in He added astronomy to his portfolio inand remained as Harvard professor until his death. In addition, he was instrumental in the development of Harvard’s science curriculum, served as the college librarian, and was director of the U.
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Coast Survey from to Benjamin Peirce is often regarded as the earliest American scientist whose research was recognized as world class. In number theory, he proved there is no odd perfect number with fewer than four prime factors.
In algebra, he was notable for the study of associative algebras. He first introduced the terms idempotent and nilpotent in to describe elements of these algebras, and he also introduced the Peirce decomposition. In the philosophy of mathematics, he became known for the statement that “Mathematics is the science that draws necessary conclusions”.
Like George BoolePeirce believed that mathematics could be used to study logic. These ideas were further developed by son Charleswho noted that logic also includes the study of faulty reasoning.
In contrast, the later logicist program of Gottlob Frege and Bertrand Russell attempted to base mathematics on logic.
Peirce proposed what came to be known as Peirce’s Criterion for the statistical treatment of outliersthat is, of apparently extreme observations. His ideas were further developed by his son Charles. Peirce was an expert witness in the Howland will forgery trialwhere he was assisted by his son Charles.
Their analysis of the questioned signature showed that it resembled another particular handwriting example so closely that the chances of such a match were statistically extremely remote. He was devoutly religious, though he seldom published his theological thoughts.
He married Alyebras Hunt Mills, the daughter of U. Senator Elijah Hunt Mills. The lunar crater Peirce is named for Peirce. Post-doctoral positions in Harvard University’s mathematics department are named in his honor as Benjamin Peirce Fellows and Lecturers. From Wikipedia, the free encyclopedia. For his father, the Harvard librarian, see Benjamin Peirce librarian.
For other people named Benjamin Peirce, see Benjamin Peirce disambiguation. The twentieth century biographical dictionary of notable Americans Retrieved 28 August Retrieved 27 May The Life of George Cabot Lodge.
Boston and New York: Tools of the Trade: Coast and Geodetic Survey Ships: Mathematician and Philosopher,” Journal of the History of Ideas16,89— Link pages for their non-PDF images of the article and its errata. Peirce, Benjamin, Linear Associative Algebra. Lithograph edition by Peirce New edition with corrections, notes, and an added paper by Peirce, plus notes by his son Charles Sanders Peircepublished in the American Journal of Mathematics v.
Press of John Wilson and Son, pp. Coast Survey Report submitted February 18,published by the U.
Associative algebras – Richard S. Pierce – Google Books
Government Printing Office, Washington, D. Volume 3, —Christian J. A Century of Mathematics in America. Retrieved from ” https: Views Read Edit View history. In other projects Wikimedia Commons Wikiquote Wikisource.