Galois Theory (Universitext)

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9780387985411: Galois Theory (Universitext)
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Book by Rotman Joseph

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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.

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1.

Joseph J. Rotman
Publicado por Springer-Verlag New York Inc., United States (2001)
ISBN 10: 0387985417 ISBN 13: 9780387985411
Nuevo Paperback Cantidad disponible: 1
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Descripción Springer-Verlag New York Inc., United States, 2001. Paperback. Condición: New. 2nd ed. 1998. Corr. 2nd printing 2001. 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. Nº de ref. del artículo: KNV9780387985411

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Joseph J. Rotman
Publicado por Springer-Verlag New York Inc. (2001)
ISBN 10: 0387985417 ISBN 13: 9780387985411
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Descripción Springer-Verlag New York Inc., 2001. PAP. Condición: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. del artículo: IQ-9780387985411

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3.

Joseph J. Rotman
Publicado por Springer-Verlag New York Inc., United States (2001)
ISBN 10: 0387985417 ISBN 13: 9780387985411
Nuevo Paperback Cantidad disponible: 1
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Descripción Springer-Verlag New York Inc., United States, 2001. Paperback. Condición: New. 2nd ed. 1998. Corr. 2nd printing 2001. 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. Nº de ref. del artículo: KNV9780387985411

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Joseph Rotman
Publicado por Springer New York 2001-07-27, New York (2001)
ISBN 10: 0387985417 ISBN 13: 9780387985411
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Descripción Springer New York 2001-07-27, New York, 2001. paperback. Condición: New. Nº de ref. del artículo: 9780387985411

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Joseph J. Rotman
Publicado por Springer-Verlag New York Inc. (2001)
ISBN 10: 0387985417 ISBN 13: 9780387985411
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Descripción Springer-Verlag New York Inc., 2001. PAP. Condición: New. New Book. Delivered from our UK warehouse in 4 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. del artículo: IQ-9780387985411

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Rotman, Joseph J.
ISBN 10: 0387985417 ISBN 13: 9780387985411
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Descripción Condición: 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. | 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 | 290 gr | 236x155x12 mm | 176 pp. Nº de ref. del artículo: K9780387985411

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7.

Joseph Rotman
Publicado por Springer (1998)
ISBN 10: 0387985417 ISBN 13: 9780387985411
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Ergodebooks
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Descripción Springer, 1998. Paperback. Condición: New. 2nd. Nº de ref. del artículo: DADAX0387985417

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Rotman, Joseph
Publicado por Springer (2018)
ISBN 10: 0387985417 ISBN 13: 9780387985411
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Descripción Springer, 2018. Paperback. Condición: New. Never used! This item is printed on demand. Nº de ref. del artículo: 0387985417

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9.

Joseph Rotman; J. Rotman
ISBN 10: 0387985417 ISBN 13: 9780387985411
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Descripción Condición: New. Nº de ref. del artículo: ria9780387985411_ing

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10.

Joseph Rotman
Publicado por Springer Verlag (1998)
ISBN 10: 0387985417 ISBN 13: 9780387985411
Nuevo Paperback Cantidad disponible: 1
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Revaluation Books
(Exeter, Reino Unido)
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Descripción Springer Verlag, 1998. Paperback. Condición: Brand New. 2nd edition. 157 pages. 9.50x6.50x0.75 inches. In Stock. Nº de ref. del artículo: __0387985417

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