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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New. Sewn binding. Cloth over boards. 254 p. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
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PLEASE NOTE, WE DO NOT SHIP TO DENMARK. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Please note we cannot offer an expedited shipping service from the UK.
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PLEASE NOTE, WE DO NOT SHIP TO DENMARK. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Please note we cannot offer an expedited shipping service from the UK.