DOTE
发表于 2025-3-23 13:16:29
The Integers,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
licence
发表于 2025-3-23 14:39:46
Introduction to Rings,dean 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
Canopy
发表于 2025-3-23 20:10:52
Introduction to Groups,to consider two binary operations. Since simplicity usually has some advantages we shall in this chapter consider only one binary operation. We begin therefore with the notion of a ‘semigroup’ from which we shall be led to consider a ‘group’, one of the most fundamental structures in modern mathemat
神圣将军
发表于 2025-3-24 01:47:37
Topics in Group Theory,results of cardinal importance in the theory of finite groups. In the first of these, we establish the structure of Abelian groups and, in the second, we establish the existence of the so-called ‘Sylow p-subgroups’ of a finite group.
吸引力
发表于 2025-3-24 04:33:43
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aptitude
发表于 2025-3-24 07:50:30
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osteoclasts
发表于 2025-3-24 12:56:06
Rings,We first formulated the abstract concept of a ring from our considerations of the integers and of polynomials. It is our aim to carry forward and to develop the concept of a ring, for which the integers will continue to serve as a useful exemplar.
深渊
发表于 2025-3-24 15:50:56
Maximum Drift Velocity in Semiconductors, 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.
Tidious
发表于 2025-3-24 20:15:04
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nonsensical
发表于 2025-3-25 02:49:41
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