A Tract on the Addition of Elliptic and Hyper-Elliptic Integrals (Classic Reprint) - Hardcover

Michael Roberts

9780332707686: A Tract on the Addition of Elliptic and Hyper-Elliptic Integrals (Classic Reprint)

Hardcover

ISBN 10: 0332707687 ISBN 13: 9780332707686

Publisher: Forgotten Books, 2018

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Explore how transcendental functions add up. A clear, foundational look at elliptic and hyper-elliptic integrals.

This concise tract presents the fundamental properties of these advanced functions in a simple, elementary way. It follows Jacobi’s method to build a trigonometry for the functions and shows how their addition leads to a coherent theory. The author connects historic results with modern (for the period) developments, guiding readers from first principles to more intricate ideas without assuming prior expertise.

Introduction to a remarkable class of transcendental functions whose rates of change are algebraic.
Step-by-step development of the addition law and the related differential equations.
Concrete discussion of elliptic and first-class hyper-elliptic integrals and their periods.
Contextual notes tying the mathematics to broader concepts like trigonometry and curvature relations.

Ideal for mathematical students and curious readers who want a solid, accessible doorway into elliptic and hyper-elliptic integrals and their historic proofs.

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