Synopsis
A Tract on the Addition of the Elliptic and Hyper-Elliptic Integrals explores how certain transcendental functions can be added and understood through algebraic forms.
The work traces Jacobi’s proof of Abel’s theorem and shows how these ideas apply to elliptic and hyper-elliptic integrals, including their periods and relationships.
- Learn how the addition of transcendental functions connects to algebraic equations
- See how elliptic and hyper-elliptic integrals behave under transformation and addition
- Discover how the periods of these integrals are determined and how they relate to curvature on related surfaces
- Follow the development from fundamental theorems to practical methods for rectification and computation
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A Tract of the Addition of Elliptic and HyperElliptic Integrals Classic Reprint
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