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Abstract Algebra: An Introduction, 3rd  무료배송

 
지은이 : Thomas W. Hungerford
출판사 : Brooks/Cole-Cengage
판수 : 3판(2014)
페이지수 : 616
ISBN : 9781111573331
예상출고일 : 입금확인후 2일 이내
주문수량 :
도서가격 : 45,000원 ( 무료배송 )
적립금 : 1,350 Point
     

 


Abstract Algebra: An Introduction is set apart by its thematic development and organization. The chapters are organized around two themes: arithmetic and congruence. Each theme is developed first for the integers, then for polynomials, and finally for rings and groups. This enables students to see where many abstract concepts come from, why they are important, and how they relate to one another. New to this edition is a "groups first" option that enables those who prefer to cover groups before rings to do so easily.

Thomas W. Hungerford received his M.S. and Ph.D. from the University of Chicago. He has taught at the University of Washington and at Cleveland State University, and is now at St. Louis University. His research fields are algebra and mathematics education. He is the author of many notable books for undergraduate and graduate level courses. These include: ALGEBRA (Springer Verlag, Graduate Texts in Mathematics #73, 1974); ABSTRACT ALGEBRA: AN INTRODUCTION, Second Edition (Harcourt, 1997); MATHEMATICS WITH APPLICATIONS, Eighth Edition (Addison-Wesley, 2003; with M. Lial); and CONTEMPORARY PRECALCULUS: A GRAPHING APPROACH, Fourth Edition (Brooks/Cole, 2004).

Part 1 The Core Course
1. Arithmetic in Z Revisited.
2. Congruence in Z and Modular Arithmetic.
3. Rings.
4. Arithmetic in F(x).
5. Congruence in F(x) and Congruence-Class Arithmetic.
6. Ideals and Quotient Rings.
7. Groups.
8. Normal Subgroups and Quotient Groups

Part 2 Advanced Topics
9. Topics in Group Theory
10. Arithmetic in Integral Domains.
11. Field Extensions.
12. Galois Theory.

Part 3 Excursions and Applications
13. Public-Key Cryptography.
14. The Chinese Remainder Theorem.
15. Geometric Constructions.
16. Algebraic Coding Theory.

Part 4 Appendices
Introduction to Partial Di...
-Zachmanoglou-
 
 
Real Analysis Modern Techn...
-Folland-
 
 
A First Course in Abstract...
-John B. Fraleigh-
 
 
   
 
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