Synopsis
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.
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About the Author
Michael Roberts is the fashion and style director of "Vanity Fair". He served as fashion director at "The New Yorker" from 1997-2006 as well as the fashion editor of "The Sunday Times", style director and art director of "Tatler", design director of British "Vogue", and Paris editor of "Vanity Fair". He has contributed his photographs and illustrations to numerous publications, among them "Vanity Fair"; "L'Uomo Vogue", British, Italian, French, American, Chinese, Brazilian, and Japanese "Vogue"; "The Sunday Times"; and "The Independent on Sunday". He is also the author of four books of illustrations: "The Jungle ABC", "Mumbo Jumbo", "Snowman in Paradise", and "The Snippy World of New Yorker Fashion Artist Michael Roberts".
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A Tract on the Addition of Elliptic and Hyper-Elliptic Integrals
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Paperback. Condition: New. Print on Demand. This book paves the way for understanding the addition of transcendental functions through generalizing the problem to include functions of the form f(x), where f is a rational function of degree 2m-1. The author has grounded this text in elliptic functions, building on the work of Niels Henrik Abel and demonstrating a connection to the work of Carl Jacobi. The reader will journey alongside the author as they break down concepts in algebra, differential equations, and elliptic functions to provide an in-depth comprehension of the topic. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781332751396_0
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