Isbn: 9781330109908 - the number-system of algebra (classic reprint): treated theoretically and historically: treated theoretically and historically (classic reprint) (4 risultati)

PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000.

PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000.

Paperback. Condizione: 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.…

Paperback. Condizione: Brand New. 150 pages. 9.02x5.94x0.28 inches. This item is printed on demand.