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Catalogue Information
Field name	Details
Dewey Class	512.2
Title	Galois Theory ([EBook]) / by Joseph Rotman.
Author	Rotman, Joseph J.
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : : Springer US, , 1990.
Physical Details	XII, 112 pages : online resource.
Series	Universitext 0172-5939
ISBN	9781468403671
Summary Note	J*VERKAUFSKATEGORIE* 0 e This text offers a clear, efficient exposition of Galois Theory with exercises and complete proofs. Topics include: Cardano's formulas; the Fundamental Theorem; Galois' Great Theorem (solvability for radicals of a polynomial is equivalent to solvability of its Galois Group); and computation of Galois group of cubics and quartics. There are appendices on group theory and on ruler-compass constructions. Developed on the basis of a second-semester graduate algebra course, following a course on group theory, this book will provide a concise introduction to Galois Theory suitable for graduate students, either as a text for a course or for study outside the classroom.:
Contents note	Rings -- Homomorphisms and Ideals -- Quotient Rings -- Polynomial Rings over Fields -- Prime Ideals and Maximal Ideals -- Finite Fields -- Irreducible Polynomials -- Classical Formulas -- Splitting Fields -- Solvability by Radicals -- The Galois Group -- Primitive Roots of Unity -- Insolvability of the Quintic -- Independence of Characters -- Galois Extensions -- Fundamental Theorem of Galois Theory -- Applications -- Galois’s Great Theorem -- Discriminants -- Galois Groups of Quadratics, Cubics, and Quartics -- Epilogue -- Appendix 1. Group Theory Dictionary -- Appendix 2. Group Theory Used in the Text -- Appendix 3. Ruler-Compass Constructions -- Appendix 4. Old-fashioned Galois Theory -- References.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4684-0367-1
Links to Related Works	Subject References: Galois theory . Group theory . Group Theory and Generalizations . Mathematics . Authors: Rotman, Joseph J. . Corporate Authors: SpringerLink (Online service) . Series: Universitext . Classification: 512.2 .

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Galois Theory

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