Galois Theory (Universitext)

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9780387985411: Galois Theory (Universitext)
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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
Editorial: Springer-Verlag New York Inc., United States (2001)
ISBN 10: 0387985417 ISBN 13: 9780387985411
Nuevos Paperback Cantidad: 1
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The Book Depository
(London, Reino Unido)
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Descripción Springer-Verlag New York Inc., United States, 2001. Paperback. Estado de conservación: 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. Nº de ref. de la librería KNV9780387985411

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2.

Joseph J. Rotman
Editorial: Springer-Verlag New York Inc., United States (2001)
ISBN 10: 0387985417 ISBN 13: 9780387985411
Nuevos Paperback Cantidad: 1
Librería
The Book Depository US
(London, Reino Unido)
Valoración
[?]

Descripción Springer-Verlag New York Inc., United States, 2001. Paperback. Estado de conservación: 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. Nº de ref. de la librería KNV9780387985411

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3.

Joseph J. Rotman
Editorial: Springer-Verlag New York Inc. 2001-07-27, New York, NY (2001)
ISBN 10: 0387985417 ISBN 13: 9780387985411
Nuevos paperback Cantidad: 10
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Blackwell's
(Oxford, OX, Reino Unido)
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Descripción Springer-Verlag New York Inc. 2001-07-27, New York, NY, 2001. paperback. Estado de conservación: New. Nº de ref. de la librería 9780387985411

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4.

Rotman, Joseph J.
ISBN 10: 0387985417 ISBN 13: 9780387985411
Nuevos Cantidad: 1
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English-Book-Service Mannheim
(Mannheim, Alemania)
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Descripción Estado de conservación: 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. Nº de ref. de la librería K9780387985411

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5.

Joseph Rotman
Editorial: Springer (2013)
ISBN 10: 0387985417 ISBN 13: 9780387985411
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Irish Booksellers
(Rumford, ME, Estados Unidos de America)
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Descripción Springer, 2013. Paperback. Estado de conservación: New. book. Nº de ref. de la librería 0387985417

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6.

Joseph Rotman
Editorial: Springer Jul 2001 (2001)
ISBN 10: 0387985417 ISBN 13: 9780387985411
Nuevos Taschenbuch Primera edición Cantidad: 1
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Agrios-Buch
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Descripción Springer Jul 2001, 2001. Taschenbuch. Estado de conservación: 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. Nº de ref. de la librería 9780387985411

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7.

Joseph Rotman
Editorial: Springer Jul 2001 (2001)
ISBN 10: 0387985417 ISBN 13: 9780387985411
Nuevos Taschenbuch Cantidad: 1
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Rheinberg-Buch
(Bergisch Gladbach, Alemania)
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Descripción Springer Jul 2001, 2001. Taschenbuch. Estado de conservación: 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. Nº de ref. de la librería 9780387985411

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8.

Rotman, Joseph
Editorial: Springer 2001-09 (2001)
ISBN 10: 0387985417 ISBN 13: 9780387985411
Nuevos Cantidad: 5
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Chiron Media
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Descripción Springer 2001-09, 2001. Estado de conservación: 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. Nº de ref. de la librería NU-LSI-06913056

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9.

Joseph Rotman
Editorial: Springer (1998)
ISBN 10: 0387985417 ISBN 13: 9780387985411
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Ergodebooks
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Descripción Springer, 1998. Paperback. Estado de conservación: New. 2nd. This item is printed on demand. Nº de ref. de la librería DADAX0387985417

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Joseph J. Rotman
Editorial: Springer-Verlag New York Inc. (2001)
ISBN 10: 0387985417 ISBN 13: 9780387985411
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PBShop
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Descripción Springer-Verlag New York Inc., 2001. PAP. Estado de conservación: 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. de la librería I2-9780387985411

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