1.

Record Nr.

UNINA9910480431003321

Autore

Lickorish W.B.Raymond

Titolo

An Introduction to Knot Theory [[electronic resource] /] / by W.B.Raymond Lickorish

Pubbl/distr/stampa

New York, NY : , : Springer New York : , : Imprint : Springer, , 1997

ISBN

1-4612-6869-9

1-4612-0691-X

Edizione

[1st ed. 1997.]

Descrizione fisica

1 online resource (X, 204 p.)

Collana

Graduate Texts in Mathematics, , 0072-5285 ; ; 175

Disciplina

514/.224

Soggetti

Manifolds (Mathematics)

Complex manifolds

Group theory

Mathematical physics

Manifolds and Cell Complexes (incl. Diff.Topology)

Group Theory and Generalizations

Theoretical, Mathematical and Computational Physics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"With 114 Illustrations."

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

1. A Beginning for Knot Theory -- Exercises -- 2. Seifert Surfaces and Knot Factorisation -- Exercises -- 3. The Jones Polynomial -- Exercises -- 4. Geometry of Alternating Links -- Exercises -- 5. The Jones Polynomial of an Alternating Link -- Exercises -- 6. The Alexander Polynomial -- Exercises -- 7. Covering Spaces -- Exercises -- 8. The Conway Polynomial, Signatures and Slice Knots -- Exercises -- 9. Cyclic Branched Covers and the Goeritz Matrix -- Exercises -- 10. The Arf Invariant and the Jones Polynomia -- Exercises -- 11. The Fundamental Group -- Exercises -- 12. Obtaining 3-Manifolds by Surgery on S3 -- Exercises -- 13. 3-Manifold Invariants From The Jones Polynomial -- Exercises -- 14. Methods for Calculating Quantum Invariants -- Exercises -- 15. Generalisations of the Jones Polynomial -- Exercises -- 16. Exploring the HOMFLY and Kauffman Polynomials -- Exercises -- References.

Sommario/riassunto

This account is an introduction to mathematical knot theory, the theory of knots and links of simple closed curves in three-dimensional space.



Knots can be studied at many levels and from many points of view. They can be admired as artifacts of the decorative arts and crafts, or viewed as accessible intimations of a geometrical sophistication that may never be attained. The study of knots can be given some motivation in terms of applications in molecular biology or by reference to paral­ lels in equilibrium statistical mechanics or quantum field theory. Here, however, knot theory is considered as part of geometric topology. Motivation for such a topological study of knots is meant to come from a curiosity to know how the ge­ ometry of three-dimensional space can be explored by knotting phenomena using precise mathematics. The aim will be to find invariants that distinguish knots, to investigate geometric properties of knots and to see something of the way they interact with more adventurous three-dimensional topology. The book is based on an expanded version of notes for a course for recent graduates in mathematics given at the University of Cambridge; it is intended for others with a similar level of mathematical understanding. In particular, a knowledge of the very basic ideas of the fundamental group and of a simple homology theory is assumed; it is, after all, more important to know about those topics than about the intricacies of knot theory.



2.

Record Nr.

UNINA9910453605803321

Autore

Clark Anna

Titolo

Scandal : the sexual politics of the British constitution / / Anna Clark

Pubbl/distr/stampa

Princeton : , : Princeton University Press, , [2004]

©2004

ISBN

0-691-11501-X

1-4008-4954-3

Edizione

[Course Book]

Descrizione fisica

1 online resource (328 p.)

Classificazione

320.94109 CLA

Disciplina

328

Soggetti

Sex - Political aspects - Great Britain - History - 18th century

Sex - Political aspects - Great Britain - History - 19th century

Political corruption - Great Britain - History - 18th century

Political corruption - Great Britain - History - 19th century

Scandals - Great Britain - History - 18th century

Scandals - Great Britain - History - 19th century

Electronic books.

Great Britain Politics and government 18th century

Great Britain Politics and government 19th century

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Frontmatter -- Contents -- Illustration -- Acknowledgments -- Abbreviations -- CHAPTER ONE. Introduction -- CHAPTER TWO. Wilkes, Sexuality, and Liberty: How Scandal Transforms Politics -- CHAPTER THREE. Influence or Independence:Women and Elections, 1777-1788 -- CHAPTER FOUR. Edmund Burke and the Begums of Oudh: Gender, Empire, and Public Opinion -- CHAPTER FIVE. Scandal in an Age of Revolution -- CHAPTER SIX. From Petticoat Influence to Women's Rights? -- CHAPTER SEVEN. The Mary Anne Clarke Affair and the System of Corruption -- CHAPTER EIGHT. Queen Caroline and the Sexual Politics of the British Constitution -- CHAPTER NINE. Sexual Scandals and Politics, Past and Present -- Notes -- Index

Sommario/riassunto

Are sex scandals simply trivial distractions from serious issues or can they help democratize politics? In 1820, George IV's "royal gambols"



with his mistresses endangered the Old Oak of the constitution. When he tried to divorce Queen Caroline for adultery, the resulting scandal enabled activists to overcome state censorship and revitalize reform. Looking at six major British scandals between 1763 and 1820, this book demonstrates that scandals brought people into politics because they evoked familiar stories of sex and betrayal. In vibrant prose woven with vivid character sketches and illustrations, Anna Clark explains that activists used these stories to illustrate constitutional issues concerning the Crown, Parliament, and public opinion. Clark argues that sex scandals grew out of the tension between aristocratic patronage and efficiency in government. For instance, in 1809 Mary Ann Clarke testified that she took bribes to persuade her royal lover, the army's commander-in-chief, to promote officers, buy government offices, and sway votes. Could women overcome scandals to participate in politics? This book also explains the real reason why the glamorous Georgiana, Duchess of Devonshire, became so controversial for campaigning in a 1784 election. Sex scandal also discredited Mary Wollstonecraft, one of the first feminists, after her death. Why do some scandals change politics while others fizzle? Edmund Burke tried to stir up scandal about the British empire in India, but his lurid, sexual language led many to think he was insane. A unique blend of the history of sexuality and women's history with political and constitutional history, Scandal opens a revealing new window onto some of the greatest sex scandals of the past. In doing so, it allows us to more fully appreciate the sometimes shocking ways democracy has become what it is today.