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Cover: 9780521785631 | Elliptic Functions | J. V. Armitage (u. a.) | Taschenbuch | Englisch
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Elliptic Functions
Taschenbuch von J. V. Armitage (u. a.)
Sprache: Englisch

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Beschreibung
In its first six chapters, this text presents the basic ideas and properties of the Jacobi elliptic functions as a historical essay. Accordingly, it is based on the idea of inverting integrals which arise in the theory of differential equations and, in particular, the differential equation that describes the motion of a simple pendulum. The later chapters present a more conventional approach to the Weierstrass functions and to elliptic integrals, and the reader is introduced to the richly varied applications of the elliptic and related functions.
In its first six chapters, this text presents the basic ideas and properties of the Jacobi elliptic functions as a historical essay. Accordingly, it is based on the idea of inverting integrals which arise in the theory of differential equations and, in particular, the differential equation that describes the motion of a simple pendulum. The later chapters present a more conventional approach to the Weierstrass functions and to elliptic integrals, and the reader is introduced to the richly varied applications of the elliptic and related functions.
Über den Autor
J. V. Armitage is an Honorary Senior Fellow in Mathematical Sciences at the University of Durham.
Inhaltsverzeichnis
1. The 'simple' pendulum; 2. Jacobian elliptic functions of a complex variable; 3. General properties of elliptic functions; 4. Theta functions; 5. The Jacobian elliptic functions for complex k; 6. Introduction to transformation theory; 7. The Weierstrass elliptic functions; 8. Elliptic integrals; 9. Applications of elliptic functions in geometry; 10. An application of elliptic functions in algebra solution of the general quintic equation; 11. An arithmetic application of elliptic functions; 12. Applications in mechanics and statistics and other topics; Appendix; Bibliography.
Details
Erscheinungsjahr: 2011
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780521785631
ISBN-10: 0521785634
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Armitage, J. V.
Eberlein, W. F.
Hersteller: Cambridge University Press
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 229 x 152 x 24 mm
Von/Mit: J. V. Armitage (u. a.)
Erscheinungsdatum: 13.12.2011
Gewicht: 0,65 kg
Artikel-ID: 102268649
Über den Autor
J. V. Armitage is an Honorary Senior Fellow in Mathematical Sciences at the University of Durham.
Inhaltsverzeichnis
1. The 'simple' pendulum; 2. Jacobian elliptic functions of a complex variable; 3. General properties of elliptic functions; 4. Theta functions; 5. The Jacobian elliptic functions for complex k; 6. Introduction to transformation theory; 7. The Weierstrass elliptic functions; 8. Elliptic integrals; 9. Applications of elliptic functions in geometry; 10. An application of elliptic functions in algebra solution of the general quintic equation; 11. An arithmetic application of elliptic functions; 12. Applications in mechanics and statistics and other topics; Appendix; Bibliography.
Details
Erscheinungsjahr: 2011
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780521785631
ISBN-10: 0521785634
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Armitage, J. V.
Eberlein, W. F.
Hersteller: Cambridge University Press
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 229 x 152 x 24 mm
Von/Mit: J. V. Armitage (u. a.)
Erscheinungsdatum: 13.12.2011
Gewicht: 0,65 kg
Artikel-ID: 102268649
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