Reading Guide
One of the most comprehensive introductory surveys of the subject, charting the historical development from before Gauss to modern times, is by Berger (2004). Accounts of the classical theory are given in Eisenhart (2004), Kreyszig (1991) and Struik (1988); the more modern copiously illustrated undergraduate textbooks by Gray, Abbena & Salamon (2006), Pressley (2001) and Wilson (2008) might be found more accessible. An accessible account of the classical theory can be found in Hilbert & Cohn-Vossen (1952). More sophisticated graduate-level treatments using the Riemannian connection on a surface can be found in Singer & Thorpe (1967), do Carmo (1976) and O'Neill (1997).
Read more about this topic: Differential Geometry Of Surfaces
Famous quotes containing the words reading and/or guide:
“The two great things yet to be discovered are these—The Art of rejuvenating old age in men, & oldageifying youth in books.—Who in the name of the trunk-makers would think of reading Old Burton were his book published for the first to day.”
—Herman Melville (1819–1891)
“The children [on TV] are too well behaved and are reasonable beyond their years. All the children pop in with exceptional insights. On many of the shows the children’s insights are apt to be unexpectedly philosophical. The lesson seems to be, “Listen to little children carefully and you will learn great truths.””
—G. Weinberg. originally quoted in “What Is Television’s World of the Single Parent Doing to Your Family?” TV Guide (August 1970)