Galois Theory

Häftad, Engelska, 1994

AvJoseph Rotman,Joseph Rotman

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Häftad

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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.

Produktinformation

Utgivningsdatum1994-12-06
Mått155 x 235 x 8 mm
Vikt201 g
FormatHäftad
SpråkEngelska
SerieUniversitext
Antal sidor108
FörlagSpringer-Verlag New York Inc.
ISBN9780387973050

Tillhör följande kategorier

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.