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OverviewOriginally published in 1930, as the second of a two-part set, this informative and systematically organized textbook, primarily aimed at university students, contains a vectorial treatment of geometry, reasoning that by the use of such vector methods, geometry is able to be both simplified and condensed. Topics covered include Flexion and Applicability of Surfaces, Levi-Civita's theory of parallel displacements on a surface and the theory of Curvilinear Congruences. Diagrams are included to supplement the text. Providing a detailed overview of the subject and forming a solid foundation for study of multidimensional differential geometry and the tensor calculus, this book will prove an invaluable reference work to scholars of mathematics as well as to anyone with an interest in the history of education. Full Product DetailsAuthor: C. E. WeatherburnPublisher: Cambridge University Press Imprint: Cambridge University Press Dimensions: Width: 14.00cm , Height: 1.50cm , Length: 21.60cm Weight: 0.330kg ISBN: 9781316606957ISBN 10: 1316606953 Pages: 252 Publication Date: 15 April 2016 Audience: College/higher education , Undergraduate Format: Paperback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of ContentsPreface; 1. Differential invariants for a surface; 2. Families of curves on a surface; 3. Families of curves (continued); 4. Ruled surfaces. Weingarten surfaces; 5. Curvilinear coordinates in space. Differential invariants; 6. Families of surfaces; 7. Tensors of the second order; 8. Families of curves and functions of direction on a surface; 9. Levi-Civita's parallel displacements. Tchebychef systems; 10. Representation of surfaces. Conical projection; 11. Small deformations of curves and surfaces; 12. Flexion of surfaces. Applicability; 13. Curvilinear congruences; Index.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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