Ranjan Roy

Elliptic and Modular Functions from Gauss to Dedekind to Hecke

• Gebundenes Buch

Produktbeschreibung

A thorough guide to elliptic functions and modular forms that demonstrates the relevance and usefulness of historical sources.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 490
• Erscheinungstermin: 20. April 2017
• Englisch
• Abmessung: 260mm x 183mm x 31mm
• Gewicht: 1108g
• ISBN-13: 9781107159389
• ISBN-10: 1107159385
• Artikelnr.: 46467229

Autorenporträt

Ranjan Roy is the Huffer Professor of Mathematics and Astronomy at Beloit College, Wisconsin, and has published papers in differential equations, fluid mechanics, complex analysis, and the development of mathematics. He received the Allendoerfer Prize, the Wisconsin MAA teaching award, and the MAA Haimo Award for Distinguished Mathematics Teaching, and was twice named Teacher of the Year at Beloit College. He is a co-author of three chapters in the NIST Handbook of Mathematical Functions, of Special Functions (with Andrews and Askey, Cambridge, 2010), and the author of Sources in the Development of Mathematics (Cambridge, 2011).

Inhaltsangabe

1. The basic modular forms
2. Gauss's contributions to modular forms
3. Abel and Jacobi on elliptic functions
4. Eisenstein and Hurwitz
5. Hermite's transformation of theta functions
6. Complex variables and elliptic functions
7. Hypergeometric functions
8. Dedekind's paper on modular functions
9. The n function and Dedekind sums
10. Modular forms and invariant theory
11. The modular and multiplier equations
12. The theory of modular forms as reworked by Hurwitz
13. Ramanujan's Euler products and modular forms
14. Dirichlet series and modular forms
15. Sums of squares
16. The Hecke operators.