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Cover: 9780387985411 | Galois Theory | Joseph Rotman | Taschenbuch | Universitext | xiv
Rückseite: 9780387985411 | Galois Theory | Joseph Rotman | Taschenbuch | Universitext | xiv
Cover: 9780387985411 | Galois Theory | Joseph Rotman | Taschenbuch | Universitext | xiv
Rückseite: 9780387985411 | Galois Theory | Joseph Rotman | Taschenbuch | Universitext | xiv
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Galois Theory
Taschenbuch von Joseph Rotman
Sprache: Englisch

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Beschreibung
This text offers a clear, efficient exposition of Galois Theory with complete proofs and exercises. Topics include: cubic and quartic formulas; Fundamental Theory of Galois Theory; insolvability of the quintic; Galois's Great Theorem (solvability by radicals of a polynomial is equivalent to solvability of its Galois Group); and computation of Galois groups of cubics and quartics. There are appendices on group theory, ruler-compass constructions, and the early history of Galois Theory.
This text offers a clear, efficient exposition of Galois Theory with complete proofs and exercises. Topics include: cubic and quartic formulas; Fundamental Theory of Galois Theory; insolvability of the quintic; Galois's Great Theorem (solvability by radicals of a polynomial is equivalent to solvability of its Galois Group); and computation of Galois groups of cubics and quartics. There are appendices on group theory, ruler-compass constructions, and the early history of Galois Theory.
Zusammenfassung
This text offers a clear, efficient exposition of Galois Theory with complete proofs and exercises. Topics include: cubic and quartic formulas; Fundamental Theory of Galois Theory; insolvability of the quintic; Galois's Great Theorem (solvability by radicals of a polynomial is equivalent to solvability of its Galois Group); and computation of Galois groups of cubics and quartics. There are appendices on group theory, ruler-compass constructions, and the early history of Galois Theory.
Inhaltsverzeichnis
Symmetry.- Rings.- Domains and Fields.- Homomorphisms and Ideals.- Quotient Rings.- Polynomial Rings over Fields.- Prime Ideals and Maximal Ideals.- Irreducible Polynomials.- Classical Formulas.- Splitting Fields.- The Galois Group.- Roots of Unity.- Solvability by Radicals.- Independence of Characters.- Galois Extensions.- The Fundamental Theorem of Galois Theory.- Applications.- Galois's Great Theorem.- Discriminants.- Galois Groups of Quadratics, Cubics, and Quartics.- Epilogue.- Appendix A: Group Theory Dictionary.- Appendix B: Group Theory Used in the Text.- Appendix C: Ruler-Compass Constructions.- Appendix D: Old-fashioned Galois Theory.- References.
Details
Erscheinungsjahr: 1998
Fachbereich: Arithmetik & Algebra
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Universitext
Inhalt: xiv
176 S.
9 s/w Illustr.
9 s/w Zeichng.
ISBN-13: 9780387985411
ISBN-10: 0387985417
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Rotman, Joseph
Auflage: Second Edition 1998
Hersteller: Humana
Springer
Springer US, New York, N.Y.
Universitext
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 10 mm
Von/Mit: Joseph Rotman
Erscheinungsdatum: 27.07.2001
Gewicht: 0,277 kg
Artikel-ID: 104625564
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