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Although the name may suggest just a new way to present the algebra that precedes calculus, it is in fact much broader and deeper than that. It has chapters on group theory, ring theory, vector spa. Modern abstract algebra is deeply tied to category theory, and so now these nice properties get abstracted even further out to maps between objects, and as maps between categories i. Free kindle book and epub digitized and proofread by project gutenberg. Modern algebra dover books on mathematics paperback june 1, 1990. In fact, when i took this course it was called modern algebra.
Working with fractions is a very important foundation to algebra. Elements of modern algebra is supposed for an introductory course in abstract algebra taken by math and math for secondary education majors. If we consider the equivalence relation established by the integers. Know that ebook versions of most of our titles are still available and may be downloaded immediately after purchase. However, some essential results are recalled in the. In the second half of the book abstract vector spaces are used.
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