The book "The Theory of Jacobi Forms" by Martin Eichler and Don Zagier, published in 1985 as part of the "Progress in Mathematics" series, provides a comprehensive treatment of Jacobi forms. The authors explore the fundamental properties of Jacobi forms, including their relationship with the Jacobi group, Eisenstein series, and cusp forms. They also delve into the Taylor expansions of Jacobi forms and the application of Hecke operators. The book discusses the connections between Jacobi forms and other types of modular forms, such as modular forms of half-integral weight and Siegel modular forms. Additionally, it covers the ring of Jacobi forms, including structure theorems, explicit descriptions of the space of Jacobi forms, and the formula for the dimension of Jacobi forms. The book concludes with a discussion on the zeros of Jacobi forms and includes tables and a bibliography.The book "The Theory of Jacobi Forms" by Martin Eichler and Don Zagier, published in 1985 as part of the "Progress in Mathematics" series, provides a comprehensive treatment of Jacobi forms. The authors explore the fundamental properties of Jacobi forms, including their relationship with the Jacobi group, Eisenstein series, and cusp forms. They also delve into the Taylor expansions of Jacobi forms and the application of Hecke operators. The book discusses the connections between Jacobi forms and other types of modular forms, such as modular forms of half-integral weight and Siegel modular forms. Additionally, it covers the ring of Jacobi forms, including structure theorems, explicit descriptions of the space of Jacobi forms, and the formula for the dimension of Jacobi forms. The book concludes with a discussion on the zeros of Jacobi forms and includes tables and a bibliography.