Differential Geometry of Three Dimensions
Differential Geometry of Three Dimensions
$53.99
USDOriginally 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.
Product details
April 2016Paperback
9781316606957
252 pages
216 × 140 × 15 mm
0.33kg
Available
Table of Contents
- Preface
- 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.
