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- catalog abstract "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.".
- catalog contributor b3493242.
- catalog created "c1990.".
- catalog date "1990".
- catalog date "c1990.".
- catalog dateCopyrighted "c1990.".
- catalog description "Includes bibliographical references (p. [103]) and index.".
- catalog description "J***VERKAUFSKATEGORIE*** 0 e Contents: Rings -- Homomorphisms and Ideas -- Quotient Rings -- Polynomial Rings over Fields -- Prime Ideas 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' Great Theorem -- Discriminants -- Galois Group of Quadratics, Cubics, and Quartics -- Epilogue -- Appendices -- References -- Index.".
- catalog description "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.".
- catalog extent "xii, 108 p. :".
- catalog hasFormat "Galois theory.".
- catalog identifier "0387973052".
- catalog isFormatOf "Galois theory.".
- catalog isPartOf "Universitext".
- catalog issued "1990".
- catalog issued "c1990.".
- catalog language "eng".
- catalog publisher "New York : Springer-Verlag,".
- catalog relation "Galois theory.".
- catalog subject "512/.3 20".
- catalog subject "Galois theory.".
- catalog subject "Group theory.".
- catalog subject "Mathematics.".
- catalog subject "QA171 .R668 1990".
- catalog tableOfContents "J***VERKAUFSKATEGORIE*** 0 e Contents: Rings -- Homomorphisms and Ideas -- Quotient Rings -- Polynomial Rings over Fields -- Prime Ideas 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' Great Theorem -- Discriminants -- Galois Group of Quadratics, Cubics, and Quartics -- Epilogue -- Appendices -- References -- Index.".
- catalog title "Galois theory / Joseph Rotman.".
- catalog type "text".