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Introduction to Algebra

Peter Jephson Cameron

出版	Oxford University Press, 1998
主題	Mathematics / GeneralMathematics / Algebra / GeneralMathematics / Algebra / Abstract
ISBN	01985019519780198501954
URL	http://books.google.com.hk/books?id=syYYl-NVM5IC&hl=&source=gbs_api
EBook	SAMPLE

註釋

This book is an undergraduate textbook on abstract algebra, beginning with the theories of rings and groups. As this is the first really abstract material students need, the pace here is gentle, and the basic concepts of subring, homomorphism, ideal, etc are developed in detail. Later, asstudents gain confidence with abstractions, they are led to further developments in group and ring theory (simple groups and extensions, Noetherian rings, and outline of universal algebra, lattices and categories) and to applications such as Galois theory and coding theory. There is also a chapteroutlining the construction of the number systems from scratch and proving in three different ways that trascendental numbers exist.