Explicitly Solving the Jacobi Inversion Problem Utilizing Theta Functions

Berry, Lee (2019) Explicitly Solving the Jacobi Inversion Problem Utilizing Theta Functions. Bachelor's Thesis, Mathematics.

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Abstract

Obtaining a solution to the equations of motion for the simple gravity pendulum requires solving for the inverse of an integral, although obtaining a solution was not possible before the introduction of elliptic functions. These functions cannot however be expressed in terms of elementary functions. It is possible to naturally generalize the integrals present in the solution for the pendulum above, which prompts the curiosity to explore the functions obtained as inverses of these general integrals. Furthermore it would then be necessary to express all functions obtained in a more familiar and accessible formulation. This paper reviews the theory necessary to solve for these functions by utilizing theta, and related, functions.

Item Type:	Thesis (Bachelor's Thesis)
Supervisor name:	Waalkens, H.
Degree programme:	Mathematics
Thesis type:	Bachelor's Thesis
Language:	English
Date Deposited:	13 Jul 2019
Last Modified:	21 Jul 2020 11:55
URI:	https://fse.studenttheses.ub.rug.nl/id/eprint/20211

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