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Multilinear Functions of Direction: And Their Uses in Differential Geometry (Classic Reprint) - Softcover
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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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This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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- PublisherForgotten Books
- Publication date2020
- ISBN 10 1330186397
- ISBN 13 9781330186398
- BindingPaperback
- LanguageEnglish
- Number of pages87
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Multilinear Functions of Direction: And Their Uses in Differential Geometry
Print on DemandSeller: Forgotten Books, London, United Kingdom
Seller rating 5 out of 5 stars
Paperback. Condition: New. Print on Demand. This book explores a method of mathematical analysis based on the concept of multilinear functions, primarily involving more than one independent direction. The author, a late fellow of Trinity College, Cambridge, emphasizes the coordinating power of this theory across differential geometry. The text differentiates between functions of a single direction and those of several independent directions. The latter includes functions of a single direction as limiting cases. Of particular note is the author's analysis of the vectors in differential geometry, providing new insights into the different functions of a single direction on a surface. Originally published in 1921, this book continues to provide a valuable resource for mathematicians and researchers interested in the history and applications of differential geometry. 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 # 9781330186398_0
Quantity: Over 20 available
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Multilinear Functions of Direction And Their Uses in Differential Geometry Classic Reprint
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
Seller rating 5 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330186398
Quantity: 15 available
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Multilinear Functions of Direction And Their Uses in Differential Geometry Classic Reprint
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
Seller rating 4 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330186398
Quantity: 15 available