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Heng Huat Chan 
Theta functions, elliptic functions and π 

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Capa do 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
Métodos de Pagamento

Tabela de Conteúdo

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

Sobre o autor

Heng Huat Chan, National University of Singapore, Singapore.
Língua Inglês ● Formato EPUB ● Páginas 138 ● ISBN 9783110540758 ● Tamanho do arquivo 14.0 MB ● Editora De Gruyter ● Cidade Berlin/Boston ● Publicado 2020 ● Edição 1 ● Carregável 24 meses ● Moeda EUR ● ID 7528143 ● Proteção contra cópia Adobe DRM
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