This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1911 edition. Excerpt: ... THE GROWTH OF ALGEBRAIC SYM- BOLISM By U. G. Mitchell Three Stages in Algebraic Notation. -- About seventy years ago Nesselman1 characterized the historical development of algebraic notation as marked by three stages. (1) Rhetorical algebra, in which problems are solved by a course of logical ...
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This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1911 edition. Excerpt: ... THE GROWTH OF ALGEBRAIC SYM- BOLISM By U. G. Mitchell Three Stages in Algebraic Notation. -- About seventy years ago Nesselman1 characterized the historical development of algebraic notation as marked by three stages. (1) Rhetorical algebra, in which problems are solved by a course of logical reasoning expressed entirely in words without the use of abbreviations or algebraic symbols. (2) Syncopated algebra, in which abbreviations are used for some of the operations and quantities which recur most often. (3) Symbolic algebra, in which arbitrary symbols having no apparent connection with the things they represent are employed for all forms and operations. This characterization has proved so helpful and convenient that the terms have gained considerable currency in subsequent writings on the subject. Rhetorical Algebra. -- Although signs for addition, subtraction, and equality are found in the old manuscript of the Egyptian scribe Ahmes2 (cf. note on p. 101) and Aristotle1 represented quantities by letters in stating problems (but not in equations), it is sufficiently accurate for a general classification to characterize as rhetorical all algebra previous to the time of Diophantus of Alexandria, who probably lived in the second half of the third or first part of the fourth century of our era. 1 G. H. F. Nesselman, Die Algebra der Oriechen (Berlin, 1842), pp. 302-306. a Cantob, Vorlesungen ueber Geschichte der Mathematik, vol. I (1894 edition), p. 87. V, Among writers of rhetorical algebra whose works appeared after the time of Diophantus may be mentioned the Eastern Arabs, the Western Arabs previous to the thirteenth century, and the early Italian writers including Leonardo of Pisa (1180-1250?), Jordanus Nemorarius (died in 1236), and their...
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Add this copy of Lectures on Fundamental Concepts of Algebra and to cart. $19.72, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2022 by Legare Street Press.
Add this copy of Lectures on Fundamental Concepts of Algebra and to cart. $29.16, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2022 by Legare Street Press.
Add this copy of Lectures on Fundamental Concepts of Algebra and to cart. $31.71, new condition, Sold by Ria Christie Books rated 5.0 out of 5 stars, ships from Uxbridge, MIDDLESEX, UNITED KINGDOM, published 2022 by Legare Street Press.
Add this copy of Lectures on Fundamental Concepts of Algebra and to cart. $33.50, very good condition, Sold by BingoBooks2 rated 5.0 out of 5 stars, ships from Vancouver, WA, UNITED STATES, published 1911 by macmillan.
