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Algebra. / 1, Fields and Galois theory

저자: Falko Lorenz; Silvio Levy
출판사: New York (N.Y.) : Springer, cop. 2006.
시리즈: Universitext (Berlin. Print)
판/형식:   인쇄본 : 영어모든 판과 형식 보기
데이터베이스:WorldCat
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Presents an introduction into the classical parts of algebra with a focus on fields and Galois theory. This title discusses nonstandard topics, such as the transcendence of pi, and defines fresh  더 읽기…

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추가적인 물리적 형식: Algebra. 1, Fields and Galois theory [Ressource électronique] / Falko Lorenz.
New York, NY : Springer New York, 2006. (@Universitext)
978-0-387-31608-6
(ABES)123108721
문서 유형 도서
모든 저자 / 참여자: Falko Lorenz; Silvio Levy
ISBN: 0387289305 9780387289304
OCLC 번호: 494383659
설명: 1 vol. (VI-293 p.) : fig. ; 24 cm.
내용: Constructibility with Ruler and Compass.- Algebraic Extensions.- Simple Extensions.- Fundamentals of Divisibility.- Prime Factorization in Polynomial Rings. Gauss's Theorem.- Polynomial Splitting Fields.- Separable Extensions.- Galois Extensions.- Finite Fields, Cyclic Groups and Roots of Unity.- Group Actions.- Applications of Galois Theory to Cyclotomic Fields.- Further Steps into Galois Theory.- Norm and Trace.- Binomial Equations.- Solvability of Equations.- Integral Ring Extensions with Applications to Galois Theory.- The Transcendence of ?.- Fundamentals of Transcendental Field Extensions.- Hilbert's Nullstellensatz.
일련 제목: Universitext (Berlin. Print)
책임: Falko Lorenz ; with the collaboration of the translator, Silvio Levy.

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From the reviews: "This is the faithful English translation of the German textbook 'Einfuhrung in die Algebra: Teil I' by F. Lorenz ... . this introduction to classical abstract algebra quickly 더 읽기…

 
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