Elementary Topics in Differential Geometry Export

@book{citeulike:3745304, abstract = {This introductory text develops the geometry of n-dimensional oriented surfaces in Rn+1. By viewing such surfaces as level sets of smooth functions, the author is able to introduce global ideas early without the need for preliminary chapters developing sophisticated machinery. the calculus of vector fields is used as the primary tool in developing the theory. Coordinate patches are introduced only after preliminary discussions of geodesics, parallel transport, curvature, and convexity. Differential forms are introduced only as needed for use in integration. The text, which draws significantly on students' prior knowledge of linear algebra, multivariate calculus, and differential equations, is designed for a one-semester course at the junior/senior level.}, author = {Thorpe, John A.}, citeulike-article-id = {3745304}, citeulike-linkout-0 = {http://www.amazon.ca/exec/obidos/redirect?tag=citeulike09-20&path=ASIN/0387903577}, citeulike-linkout-1 = {http://www.amazon.de/exec/obidos/redirect?tag=citeulike01-21&path=ASIN/0387903577}, citeulike-linkout-2 = {http://www.amazon.fr/exec/obidos/redirect?tag=citeulike06-21&path=ASIN/0387903577}, citeulike-linkout-3 = {http://www.amazon.jp/exec/obidos/ASIN/0387903577}, citeulike-linkout-4 = {http://www.amazon.co.uk/exec/obidos/ASIN/0387903577/citeulike00-21}, citeulike-linkout-5 = {http://www.amazon.com/exec/obidos/redirect?tag=citeulike07-20&path=ASIN/0387903577}, citeulike-linkout-6 = {http://www.worldcat.org/isbn/0387903577}, citeulike-linkout-7 = {http://books.google.com/books?vid=ISBN0387903577}, citeulike-linkout-8 = {http://www.amazon.com/gp/search?keywords=0387903577&index=books&linkCode=qs}, citeulike-linkout-9 = {http://www.librarything.com/isbn/0387903577}, day = {27}, howpublished = {Hardcover}, isbn = {0387903577}, keywords = {differential\_geometry}, month = {October}, posted-at = {2008-12-04 10:42:02}, priority = {2}, publisher = {Springer}, title = {Elementary Topics in Differential Geometry}, url = {http://www.amazon.com/exec/obidos/redirect?tag=citeulike07-20&path=ASIN/0387903577}, year = {1994} }

TY - BOOK ID - citeulike:3745304 L3 - citeulike-article-id:3745304 N2 - This introductory text develops the geometry of n-dimensional oriented surfaces in Rn+1. By viewing such surfaces as level sets of smooth functions, the author is able to introduce global ideas early without the need for preliminary chapters developing sophisticated machinery. the calculus of vector fields is used as the primary tool in developing the theory. Coordinate patches are introduced only after preliminary discussions of geodesics, parallel transport, curvature, and convexity. Differential forms are introduced only as needed for use in integration. The text, which draws significantly on students' prior knowledge of linear algebra, multivariate calculus, and differential equations, is designed for a one-semester course at the junior/senior level. SN - 0387903577 TI - Elementary Topics in Differential Geometry PB - Springer KW - differential_geometry AU - Thorpe, John PY - 1994/10/27/ UR - http://www.amazon.ca/exec/obidos/redirect?tag=citeulike09-20&path=ASIN/0387903577 ER -