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Heng Huat Chan 
Theta functions, elliptic functions and π 

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Hoes van Heng Huat Chan: Theta functions, elliptic functions and π (ePUB)
This book presents several results on elliptic functions and Pi, using Jacobi’s triple product identity as a tool to show suprising connections between different topics within number theory such as theta functions, Eisenstein series, the Dedekind delta function, and Ramanujan’s work on Pi. The included exercises make it ideal for both classroom use and self-study.
€49.95
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Inhoudsopgave

Introduction
Chapter 1. Euler’s identities and Jacobi’s triple product identity
Chapter 2. Jacobi’s theta functions and Jacobi’ triple product identity
Chapter 3. Generalization of Jacobi;’s theta functions
Chapter 4. Ramanujan’s differential equations for Eisenstein series
Chapter 5. The Weierstrass elliptic functions
Chapter 6. Jacobi’s elliptic functions
Chapter 7. Hypergeometric series
Chapter 8. Ramanujan’s series for 1/π
Chapter 9. The Gauss-Brent-Salamin algorithm for π
References

Over de auteur

Heng Huat Chan, National University of Singapore, Singapore.
Taal Engels ● Formaat EPUB ● Pagina’s 138 ● ISBN 9783110540758 ● Bestandsgrootte 14.0 MB ● Uitgeverij De Gruyter ● Stad Berlin/Boston ● Gepubliceerd 2020 ● Editie 1 ● Downloadbare 24 maanden ● Valuta EUR ● ID 7528143 ● Kopieerbeveiliging Adobe DRM
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