Number System Algebra Treated Theoretically (61 results)

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Paperback. Condition: New. Print on Demand. This book offers a theoretical exploration of the nature of numbers, examining the positive integer and the four artificial forms of number â" the negative, fraction, irrational, and imaginary â" that, along with the positive integer, constitute the number system of algebra. The author provides an elementary exposition of these concepts, following in the footsteps of Peacock, Gregory, Hankel, Weierstrass, Cantor, and Thomae. The discussion of the artificial numbers largely adheres to the lines of the authorâs earlier work, On the Forms of Number arising in Common Algebra, but is more exhaustive and thorough. The author contends that algebra is completely defined formally by the laws of combination to which its fundamental operations are subject, and that these laws alone define the operations, and the operations the various artificial numbers, as their formal or symbolic results. This position was developed for the negative, fraction, and imaginary by Hankel in 1867, and made complete by Cantorâs beautiful theory of the irrational in 1871, but has yet to receive adequate treatment in English. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item.…

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Buch. Condition: Neu. Neuware - This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the 'public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.…

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Hardcover. Condition: Good. ix, 131 pages : illustrations. Publisher's binding sturdy, mild wear to extremities, a few light spots to front and rear panels; stamp of Williams Junior College (Berkeley, 1916-1968) at the front pastedown, signature of Ms Williams at the head of the front free endpaper, a long note in pen at the final blank, else internally unmarked. 270 grams. …

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Cloth. Condition: Good. Includes: Theoretical, the positive integer; Substraction and the negative integer; Division and the fraction; The irrational; The imaginary complex numbers; Graphical representations of numbers the variable; The fundamental theorem of algebra; Numbers defined by infitive series; The exponential and logarithmic functions, undetermined coefficients involution and devolution the binomial theorem; Historial, primitive numerals; Historic systems of notation; The fractions; Origin of the irrational; Origin of the negative and the imaginary the equation; Acceptance of the negative the general irrational and the imaginay as numbers; Recognition of the purely symbolic character of algebra, quaternions the ausdehnungslehre; Principal footnotes. Text in english. === CIENCIAS ===.…

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