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Titlebook: Introduction to Algebra; R. Kochendörffer Book 1972 Wolters-Noordhoff Publishing Groningen 1972 algebra

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发表于 2025-3-21 17:17:17 | 显示全部楼层 |阅读模式
书目名称Introduction to Algebra
编辑R. Kochendörffer
视频video
图书封面Titlebook: Introduction to Algebra;  R. Kochendörffer Book 1972 Wolters-Noordhoff Publishing Groningen 1972 algebra
描述This book is intended as a textbook for an undergraduate course on algebra. In most universities a detailed study ·of abstract algebraic systems commences in the second year. By this time the student has gained some experience in mathematical reasoning so that a too elementary book would rob him of the joy and the stimulus of using his ability. I tried to make allowance for this when I chose t4e level of presentation. On the other hand, I hope that I also avoided discouraging the reader by demands which are beyond his strength. So, the first chapters will certainly not require more mathematical maturity than can reasonably be expected after the first year at the university. Apart from one exception the formal prerequisites do not exceed the syllabus of an average high school. As to the exception, I assume that the reader is familiar with the rudiments of linear algebra, i. e. addition and multiplication of matrices and the main properties of determinants. In view of the readers for whom the book is designed I felt entitled to this assumption. In the first chapters, matrices will almost exclusively occur in examples and exercises providing non-trivial instances in the theory of grou
出版日期Book 1972
关键词algebra
版次1
doihttps://doi.org/10.1007/978-94-009-8179-9
isbn_softcover978-94-009-8181-2
isbn_ebook978-94-009-8179-9
copyrightWolters-Noordhoff Publishing Groningen 1972
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Book 1972nces in the second year. By this time the student has gained some experience in mathematical reasoning so that a too elementary book would rob him of the joy and the stimulus of using his ability. I tried to make allowance for this when I chose t4e level of presentation. On the other hand, I hope th
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Galois theory of equations,t be solved by radicals. Later, Galois derived a necessary and sufficient condition under which an equation is soluble by radicals. The work of Galois is of great importance for the development of mathematical concepts. In this chapter we shall apply the results of the previous chapter to the study of algebraic equations and related topics.
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The integers,In this chapter we shall derive some results of elementary number theory which will be used later. Moreover the ring of the integers will provide examples of some basic concepts which play a role in the study of more general rings.
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