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Differential Geometry of Three Dimensions, 5E by C.E. Weatherburn

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Differential Geometry of Three Dimensions, 5E written by C.E. Weatherburn.
The demand for the book, since its first appearance twenty years ago, has justified the writer's belief in the need for such a vectorial treatment. By the use of vector methods the presentation of the subject is both simplified and condensed, and students are encouraged to reason geometrically rather than analytically. At a latter stage some of these students will proceed to the study of multidimenssional differential geometry and the tensor calculus. It is highly desirable that the study of the geometry of Euclidcan 3-space should thue come first, and this can be undertaken with most students at an ee.rher stage by vector methods than by the Ricci calculusce. A student's appriciaiton of the more general case will undoubtedly be enhanced by an earlier acquatance with d1ffettntial geometry of three dimensions.

Book Detail :-
Title: Differential Geometry of Three Dimensions
Edition: Fifth Edition
Author(s): C.E. Weatherburn
Publisher:
Series:
Year: 1955
Pages: 279
Type: PDF
Language: Englsih
ISBN:
Country: Astralia
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About Author :- Charles Ernest Weatherburn (1884–1974) was an Australian mathematician. Weatherburn graduated from the University of Sydney an MA in 1906. After being awarded a scholarship he studied at Trinity College, Cambridge sitting the Mathematical Tripos examinations in 1908. Weatherburn was awarded a First Class degree. On his return to Australia, Weatherburn taught at Ormond College of the University of Melbourne.
In 1923 was appointed chair of mathematics in Canterbury College, University of New Zealand. He returned to Australia in 1929 as chair of mathematics at the University of Western Australia, a post he held until he retired in 1950.

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Book Contents :-
Differential Geometry of Three Dimensions, 5E written by C.E. Weatherburn cover the following topics. '
1. CURVES WITH TORSION
2. ENVELOPES. DEVELOPABLE SURFACES
3. CURVILINEAR COORDINATES ON A SURFACE FUNDAMENTAL MAGNITUDES
4. CURVES ON A SURFACE LINES OF CURVATURE
5. THE EQUATIONS OF GAUSS AND OF CODAZZI
6. GEODE&ICS AND GEODESIC PARALLELS
7. QUADRIO SURFACES
8. EVOLTTTE OR SURFACE OF CENTRES. PARALLEL SURFACES SURFACE ov CENTRES
9. CONFORMAL AND SPHERICAL REPRESENTATIONS MINIMAL SURFACES
10. CONGRUENCES OF LINES
11. TRIPLY ORTHOGONAL SYSTEMS OF SURFACES
12. DIFFERENTIAL INVARIANTS FOR A SURFACE
Note I. DIRECTIONS ON A SURFACE
Note II. ON THE CURVATURES OF A SURFACE


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