|
" Numbers guide : "
[Richard Stutely].
| Document Type
|
:
|
BL
|
| Record Number
|
:
|
627680
|
| Doc. No
|
:
|
dltt
|
| Main Entry
|
:
|
Thorpe, John A
|
| Title & Author
|
:
|
Elementary topics in differential geometry /\ John A. Thorpe
|
| Series Statement
|
:
|
Undergraduate texts in mathematics
|
| Page. NO
|
:
|
xiii, 253 pages :: illustrations ;; 24 cm
|
| ISBN
|
:
|
0387903577
|
|
|
:
|
: 9780387903576
|
|
|
:
|
: 3540903577
|
|
|
:
|
: 9783540903574
|
| Notes
|
:
|
Includes indexes
|
| Bibliographies/Indexes
|
:
|
Includes bibliographical references (page 245)
|
| Contents
|
:
|
Graphs and level sets -- Vector fields -- The tangent space -- Surfaces -- Vector fields on surfaces; orientation -- The Gauss map -- Geodesics -- Parallel transport -- The Weingarten map -- Curvature of plane curves -- Arc length and line integrals -- Curvature of surfaces -- Convex surfaces -- Parametrized surfaces -- Local equivalence of surfaces and parametrized surfaces -- Focal points -- Surface area and volume -- Minimal surfaces -- The exponential map -- Surfaces with boundary -- The Gauss-Bonnet theorem -- Rigid motions and congruence -- Isometries -- Riemannian metrics
|
| Subject
|
:
|
Geometry, Differential
|
| Dewey Classification
|
:
|
516/.36
|
| LC Classification
|
:
|
QA641.T36
|
| |