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An Introduction to Abstract Algebra(2003)  무료배송

 
지은이 : Robinson
출판사 : de Gruyter
판수 : 1 edition
페이지수 : 282
ISBN : 3110175444
예상출고일 : 입금확인후 2일 이내
주문수량 :
도서가격 : 61,840원 ( 무료배송 )
적립금 : 1,855 Point
   

 
This is a high level introduction to abstract algebra which is aimed at readers whose interests lie in mathematics and in the information and physical sciences. In addition to introducing the main concepts of modern algebra, the book contains numerous applications, which are intended to illustrate the concepts and to convince the reader of the utility and relevance of algebra today. In particular applications to Polya coloring theory, latin squares, Steiner systems and error correcting codes are described. Another feature of the book is that group theory and ring theory are carried further than is often done at this level. There is ample material here for a two semester course in abstract algebra.
The importance of proof is stressed and rigorous proofs of almost all results are given. But care has been taken to lead the reader through the proofs by gentle stages. There are nearly 400 problems, of varying degrees of difficulty, to test the reader’s skill and progress. The book should be suitable for students in the third or fourth year of study at a North American university or in the second or third year at a university in Europe.

1.Sets,relatons and functions
2.The integers
3.Introduction to groups
4.Cosets,quotient groups and homomorphisms
5.Groups acting in sets
6.Introduction to rings
7.Division in rings
8.Vector spaces
9.The structure of groups
10.Introduction to the theory of fields
11.Galois theory
12.Further topics
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