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发表于 2025-3-21 18:26:03 | 显示全部楼层 |阅读模式
书目名称Groups, Rings and Fields
编辑D. A. R. Wallace
视频video
丛书名称Springer Undergraduate Mathematics Series
图书封面Titlebook: ;
出版日期Textbook 1998
版次1
doihttps://doi.org/10.1007/978-1-4471-0425-4
isbn_softcover978-3-540-76177-8
isbn_ebook978-1-4471-0425-4Series ISSN 1615-2085 Series E-ISSN 2197-4144
issn_series 1615-2085
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发表于 2025-3-21 22:18:28 | 显示全部楼层
Introduction to Rings,apparent that we need to consider much more precisely the extent to which integers and polynomials share common features. In this way we shall be led to enunciate axioms for an algebraic system called a ‘ring’ and for a ring of a particular type called an ‘integral domain’ which incorporates some of the features common to integers and polynomials.
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发表于 2025-3-22 08:19:51 | 显示全部楼层
The Integers, ganze Zahl schuf der liebe Gott; alles übrige ist Menschenwerk” which we may render in English as “God created the integers; everything else is man’s handiwork”. (Quotation from Philosophie der Mathematik und Naturwissenschaft by H. Weyl, R. Oldenburg, München, 1928, Section 6, page 27).
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发表于 2025-3-22 14:26:31 | 显示全部楼层
Introduction to Kinetic Theory of Plasma,o, three, …”, “eins, zwei, drei, …”, “yî, èr, sân,…”, or their equivalent, in whatever may be our mother tongue. By childhood we have assimilated, without too much conscious effort, the elementary properties of the addition, subtraction, multiplication and division of the natural numbers; in this te
发表于 2025-3-22 17:06:20 | 显示全部楼层
J. B. A. Mitchell,J. Wm. McGowandean Algorithm for finding the greatest common divisor of two given integers. ‘Polynomials’ share many properties in common with the integers, having a division algorithm and a corresponding Euclidean Algorithm. As our treatment of polynomials proceeds, initially somewhat informally, it will become
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Sets and Mappings, and mappings may lead to a better understanding of the underlying mathematical processes. We shall outline those aspects of sets and mappings which are relevant to present purposes and, for the delectation of the reader, conclude with a few logical paradoxes in regard to sets.
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