1.

Record Nr.

UNINA9910480416003321

Autore

Rotman Joseph

Titolo

Galois Theory [[electronic resource] /] / by Joseph Rotman

Pubbl/distr/stampa

New York, NY : , : Springer New York : , : Imprint : Springer, , 1990

ISBN

1-4684-0367-2

Edizione

[1st ed. 1990.]

Descrizione fisica

1 online resource (XII, 112 p.)

Collana

Universitext, , 0172-5939

Disciplina

512/.3

Soggetti

Group theory

Group Theory and Generalizations

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

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.

Sommario/riassunto

This text offers a clear, efficient exposition of Galois Theory with exercises and complete proofs. Topics include: Cardano's formulas; the Fundamental Theorem; Galois' Great Theorem (solvability for radicals of a polynomial is equivalent to solvability of its Galois Group); and computation of Galois group of cubics and quartics. There are appendices on group theory and on ruler-compass constructions. 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.



2.

Record Nr.

UNINA9910462615403321

Titolo

Thomas Killigrew and the seventeenth-century English stage : new perspectives / / edited by Philip Major

Pubbl/distr/stampa

Abingdon, Oxon : , : Routledge, , 2016

ISBN

1-317-01038-8

1-317-01039-6

1-315-55102-0

1-4094-6669-8

Descrizione fisica

1 online resource (236 p.)

Collana

Studies in performance and early modern drama

Altri autori (Persone)

MajorPhilip

Disciplina

822/.4

Soggetti

English drama - 17th century - History and criticism

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

First published 2013 by Ashgate Publishing.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Cover; Contents; List of Figures; List of Contributors; Acknowledgements; Abbreviations; Introduction: 'A Man of Much Plot'; 1 From Court to Cockpit: The Prisoners and Claricilla in Repertory; 2 Tradition and Innovation in The Parson's Wedding; 3 Thomas Killigrew, Theatre Manager; 4 Henry Killigrew and Dramatic Patronage at the Stuart Courts; 5 Thomas Killigrew's Thomaso as Two-Part Comedy; 6 Recycling the Exile: Thomaso, The Rover and the Critics; 7 'A Gentleman of Great Esteem with the King': The Restoration Roles and Reputations of Thomas Killigrew

8 'This Lemon in mine eye': Writing the Exile in Thomas Killigrew's The PilgrimWorks Cited; Index

Sommario/riassunto

Despite his significant influence as a courtier, diplomat, playwright and Restoration theatre manager, Thomas Killigrew (1612-1683) remains a comparatively elusive and neglected figure. The original essays in this interdisciplinary volume shine new light on a singular, contradictory seventeenth-century Englishman 400 years after his birth. They increase our knowledge and deepen our understanding not only of Killigrew himself, but of seventeenth-century dramaturgy, and its complex relationship to court culture and evolving aesthetic tastes.