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A course in Galois theory

A course in Galois theory (8회 대출)

자료유형
단행본
개인저자
Garling, D. J. H.
서명 / 저자사항
A course in Galois theory / D.J.H. Garling.
발행사항
Cambridge [Cambridgeshire] ;   New York :   Cambridge University Press,   1986.  
형태사항
viii, 167 p. : ill. ; 24 cm.
ISBN
0521320771 0521312493 (pbk.)
일반주기
Includes index.  
일반주제명
Galois theory.
비통제주제어
Galois theory,,
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020 ▼a 0521320771
020 ▼a 0521312493 (pbk.)
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050 0 ▼a QA171 ▼b .G277 1986
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100 1 ▼a Garling, D. J. H.
245 1 2 ▼a A course in Galois theory / ▼c D.J.H. Garling.
260 ▼a Cambridge [Cambridgeshire] ; ▼a New York : ▼b Cambridge University Press, ▼c 1986.
300 ▼a viii, 167 p. : ▼b ill. ; ▼c 24 cm.
500 ▼a Includes index.
650 0 ▼a Galois theory.
653 ▼a Galois theory
740 0 1 ▼a Galois theory.

소장정보

No. 소장처 청구기호 등록번호 도서상태 반납예정일 예약 서비스
No. 1 소장처 과학도서관/Sci-Info(2층서고)/ 청구기호 512.3 G233c 등록번호 121084951 도서상태 대출가능 반납예정일 예약 서비스 B M

컨텐츠정보

목차

Preface; Part I. Algebraic Preliminaries: 1. Groups, fields and vector spaces; 2. The axiom of choice, and Zorn's lemma; 3. Rings; Part II. The Theory of Fields, and Galois Theory: 4. Field extensions; 5. Tests for irreducibility; 6. Ruler-and-compass constructions; 7. Splitting fields; 8. The algebraic closure of a field; 9. Normal extensions; 10. Separability; 11. Automorphisms and fixed fields; 12. Finite fields; 13. The theorem of the primative element; 14. Cubics and quartics; 15. Roots of unity; 16. Cyclic extensions; 17. Solution by radicals; 18. Transcendental elements and algebraic independence; 19. Some further topics; 20. The calculation of Galois groups; Index.


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