Mathematics Rotman, Joseph J. Galois Theory

ISBN 13: 9780387985411

Galois Theory

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9780387985411: Galois Theory

A clear, efficient exposition of this topic with complete proofs and exercises, covering cubic and quartic formulas; fundamental theory of Galois theory; insolvability of the quintic; Galoiss Great Theorem; and computation of Galois groups of cubics and quartics. Suitable for first-year graduate students, either as a text for a course or for study outside the classroom, this new edition has been completely rewritten in an attempt to make proofs clearer by providing more details. It now begins with a short section on symmetry groups of polygons in the plane, for there is an analogy between polygons and their symmetry groups and polynomials and their Galois groups - an analogy which serves to help readers organise the various field theoretic definitions and constructions. The text is rounded off by appendices on group theory, ruler-compass constructions, and the early history of Galois Theory. The exposition has been redesigned so that the discussion of solvability by radicals now appears later and several new theorems not found in the first edition are included.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Contenuti:

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, Dubics, and Quartics. Epilogue. Appendices.

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1.

Joseph J. Rotman
Editore: Springer-Verlag New York Inc., United States (2001)
ISBN 10: 0387985417 ISBN 13: 9780387985411
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Descrizione libro Springer-Verlag New York Inc., United States, 2001. Paperback. Condizione libro: New. 2nd ed. 1998. Corr. 2nd printing 2001. 229 x 152 mm. Language: English . Brand New Book. A clear, efficient exposition of this topic with complete proofs and exercises, covering cubic and quartic formulas; fundamental theory of Galois theory; insolvability of the quintic; Galoiss Great Theorem; and computation of Galois groups of cubics and quartics. Suitable for first-year graduate students, either as a text for a course or for study outside the classroom, this new edition has been completely rewritten in an attempt to make proofs clearer by providing more details. It now begins with a short section on symmetry groups of polygons in the plane, for there is an analogy between polygons and their symmetry groups and polynomials and their Galois groups - an analogy which serves to help readers organise the various field theoretic definitions and constructions. The text is rounded off by appendices on group theory, ruler-compass constructions, and the early history of Galois Theory. The exposition has been redesigned so that the discussion of solvability by radicals now appears later and several new theorems not found in the first edition are included. Codice libro della libreria KNV9780387985411

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2.

Joseph J. Rotman
Editore: Springer-Verlag New York Inc. 2001-07-27, New York, NY (2001)
ISBN 10: 0387985417 ISBN 13: 9780387985411
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Descrizione libro Springer-Verlag New York Inc. 2001-07-27, New York, NY, 2001. paperback. Condizione libro: New. Codice libro della libreria 9780387985411

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Joseph J. Rotman
Editore: Springer-Verlag New York Inc., United States (2001)
ISBN 10: 0387985417 ISBN 13: 9780387985411
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Descrizione libro Springer-Verlag New York Inc., United States, 2001. Paperback. Condizione libro: New. 2nd ed. 1998. Corr. 2nd printing 2001. 229 x 152 mm. Language: English . Brand New Book. A clear, efficient exposition of this topic with complete proofs and exercises, covering cubic and quartic formulas; fundamental theory of Galois theory; insolvability of the quintic; Galoiss Great Theorem; and computation of Galois groups of cubics and quartics. Suitable for first-year graduate students, either as a text for a course or for study outside the classroom, this new edition has been completely rewritten in an attempt to make proofs clearer by providing more details. It now begins with a short section on symmetry groups of polygons in the plane, for there is an analogy between polygons and their symmetry groups and polynomials and their Galois groups - an analogy which serves to help readers organise the various field theoretic definitions and constructions. The text is rounded off by appendices on group theory, ruler-compass constructions, and the early history of Galois Theory. The exposition has been redesigned so that the discussion of solvability by radicals now appears later and several new theorems not found in the first edition are included. Codice libro della libreria KNV9780387985411

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Rotman, Joseph J.
ISBN 10: 0387985417 ISBN 13: 9780387985411
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Descrizione libro Condizione libro: New. Publisher/Verlag: Springer, Berlin | A clear, efficient exposition of this topic with complete proofs and exercises, covering cubic and quartic formulas; fundamental theory of Galois theory; insolvability of the quintic; Galois' Great Theorem; and computation of Galois groups of cubics and quartics. Suitable for first-year graduate studen ts, either as a text for a course or for study outside the classroom, this new edition has been completely rewritten in an attempt to make proofs clearer by providing more details. It now begins with a short section on symmetry groups of polygons in the plane, for there is an analogy between polygons and their symmetry groups and polynomials and their Galois groups - an analogy which serves to help readers organise the various field theoretic definitions and constructions. The text is rounded off by appendices on group theory, ruler-compass constructions, and the early history of Galois Theory. The exposition has been redesigned so that the discussion of solvability by radicals now appears later and several new theorems not found in the first edition are included. | From the contents:- 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. Index 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. Index. | Format: Paperback | Language/Sprache: english | 260 gr | 176 pp. Codice libro della libreria K9780387985411

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Joseph Rotman
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Descrizione libro Springer, 2013. Paperback. Condizione libro: New. book. Codice libro della libreria 0387985417

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Descrizione libro Springer Jul 2001, 2001. Taschenbuch. Condizione libro: Neu. 235x155x9 mm. Neuware - A clear, efficient exposition of this topic with complete proofs and exercises, covering cubic and quartic formulas; fundamental theory of Galois theory; insolvability of the quintic; Galois' Great Theorem; and computation of Galois groups of cubics and quartics. Suitable for first-year graduate studen ts, either as a text for a course or for study outside the classroom, this new edition has been completely rewritten in an attempt to make proofs clearer by providing more details. It now begins with a short section on symmetry groups of polygons in the plane, for there is an analogy between polygons and their symmetry groups and polynomials and their Galois groups - an analogy which serves to help readers organise the various field theoretic definitions and constructions. The text is rounded off by appendices on group theory, ruler-compass constructions, and the early history of Galois Theory. The exposition has been redesigned so that the discussion of solvability by radicals now appears later and several new theorems not found in the first edition are included. 176 pp. Englisch. Codice libro della libreria 9780387985411

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Joseph Rotman
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ISBN 10: 0387985417 ISBN 13: 9780387985411
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Descrizione libro Springer Jul 2001, 2001. Taschenbuch. Condizione libro: Neu. 235x155x9 mm. Neuware - A clear, efficient exposition of this topic with complete proofs and exercises, covering cubic and quartic formulas; fundamental theory of Galois theory; insolvability of the quintic; Galois' Great Theorem; and computation of Galois groups of cubics and quartics. Suitable for first-year graduate studen ts, either as a text for a course or for study outside the classroom, this new edition has been completely rewritten in an attempt to make proofs clearer by providing more details. It now begins with a short section on symmetry groups of polygons in the plane, for there is an analogy between polygons and their symmetry groups and polynomials and their Galois groups - an analogy which serves to help readers organise the various field theoretic definitions and constructions. The text is rounded off by appendices on group theory, ruler-compass constructions, and the early history of Galois Theory. The exposition has been redesigned so that the discussion of solvability by radicals now appears later and several new theorems not found in the first edition are included. 176 pp. Englisch. Codice libro della libreria 9780387985411

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Descrizione libro Springer, 1998. Paperback. Condizione libro: New. 2nd. This item is printed on demand. Codice libro della libreria DADAX0387985417

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Descrizione libro Springer 2001-09, 2001. Condizione libro: New. This item is printed on demand. Brand new book, sourced directly from publisher. Dispatch time is 24-48 hours from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely. Codice libro della libreria NU-LSI-06913056

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Descrizione libro Springer-Verlag New York Inc., 2001. PAP. Condizione libro: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Codice libro della libreria IQ-9780387985411

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