The Theory of Elliptic Integrals: And the Properties of Surfaces of the Second Order (Classic Reprint) - Hardcover

James Booth

9780331576948: The Theory of Elliptic Integrals: And the Properties of Surfaces of the Second Order (Classic Reprint)

Hardcover

ISBN 10: 0331576945 ISBN 13: 9780331576948

Publisher: Forgotten Books, 2018

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A rigorous, geometry‑driven study of elliptic integrals and the surfaces that shape them, from spherical ellipses to logarithmic forms.

This edition presents a careful blend of geometric insight and analytic technique, focusing on elliptic integrals of the first and third orders and their geometric representations. It introduces new curves like the spherical parabola and the logarithmic ellipse, shows how these ideas connect with modular transformations, and explains the role of tangential coordinates in simplifying complex expressions. The work also extends to applications in the mechanics of rigid bodies, including the moments of inertia, the tangential equation of a surface of the second order, and the behavior of axes, cones, and instantaneous rotation during motion.

Explore the geometric meaning of elliptic integrals and their three classical forms
Learn how spherical and parabolic curves relate to integral expressions and their quadratures
See how mechanics and geometry meet in the study of ellipsoids, cones, and rotatory motion
Encounter practical techniques, like tangential coordinates, for simplifying advanced calculations

Ideal for readers of advanced geometry and mathematical physics who seek a concrete, graphically informed account of elliptic functions and their physical applications.

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About the Author

James Booth edited Philip Larkin's early girls'-school stories and poems as "Trouble at Willow Gables and Other Fictions" and has published two critical studies of the poet's work: "Philip Larkin: Writer" (1991) and"Philip Larkin: The Poet's Plight" (2005). He is Literary Adviser to the Philip Larkin Society and Co-Editor of its journal, "About Larkin". He recently retired from the Department of English at the University of Hull, where he had been a colleague of Larkin for seventeen years.

www.philiplarkin.com

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