Some Special Cases of the Flecnode Transformation of Ruled Surfaces
Language: English
Published by Forgotten Books, 2018
- Softcover
- New

Seller: PBShop.store UK, Fairford, GLOS, United KingdomPBShop.store UK
AbeBooks seller since June 11, 1999
Condition: New
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Seller Inventory # LW-9781332198122
- Title
- Some Special Cases of the Flecnode Transformation of Ruled Surfaces
- Author
- John Wayne Lasley
- Publisher
- Forgotten Books
- Publication year
- 2018
- Condition
- New
- Binding
- PAP
- Language
- English
- ISBN 10
- 1332198120
- ISBN 13
- 9781332198122
- Item weight
- 109 grams
Some Special Cases of the Flecnode Transformation of Ruled Surfaces explores how flecnodes shape the geometry of ruled surfaces and what happens when the transformation sequence terminates or loops back on itself.
This rigorous study presents a framework for understanding flecnode curves and the associated transforms. It combines theoretical development with careful case analysis, focusing on invariants, directrices, and how special conditions affect the evolution of the flecnode suite. The work situates its results within the broader theory of differential geometry for readers with a solid background in advanced math.
- Learn how flecnodes and their curves arise from the tangent and asymptotic structure of ruled surfaces.
- Understand conditions that cause the flecnode suite to terminate, including scenarios with a straight-line directrix.
- See how invariants of the original surface govern the transforms and their intersections.
- Explore classifications of surfaces where second and minus-second flecnode transforms intersect or remain separate.
"Synopsis" may belong to another edition of this title.
PBShop.store UK
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