Multilinear Functions of Direction: And Their Uses in Differential Geometry (Classic Reprint) - Hardcover

Eric Harold Neville

Hardcover

ISBN 10: 0267977298 ISBN 13: 9780267977291

Publisher: Forgotten Books, 2018

Synopsis

Excerpt from Multilinear Functions of Direction: And Their Uses in Differential Geometry

The theory of multilinear functions does not merely coordinate. It affords simple proofs of the relations between the cubic functions of Laguerre and Barboux and of formulae 7851, 7352) for the twist of a family of surfaces, and it leads naturally to expressions (7241) for the rates of change of the two principal curvatures of a variable member of a family of surfaces at the current point of an orthogonal trajectory of the family, expres sions that are interesting because their existence was deduced by Forsyth in 1903 from an enumeration of invariants.

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Edition details

• Publisher: Forgotten Books
• Publication date: 2018
• ISBN 10: 0267977298
• ISBN 13: 9780267977291
• Binding: Hardcover
• Language: English
• Number of pages: 89