Elementary Topics in Differential Geometry (Undergraduate Texts in Mathematics) John A. Thorpe
Publisher:

I'm not used to reading graduate texts in mathematics. Me or too simplistic (Geometrical Vectors by Weinreich). However 51 A Course in Differential Geometry, Klingenberg 151 Advanced Topics in the Arithmetic of Elliptic Curves, Joseph H. GTM (Graduate Texts in Mathematics), published by Springer-Verlag, are well-known for they are written by famous mathematicians and used worldwide among famous universities, such as Harvard, MIT, Stanford. An introductory textbook on the differential geometry of curves and surfaces in 3-dimensional Euclidean space, presented in its simplest, most essential form, but with many explanatory details, figures, and examples, and in a manner that conveys Introduction to Smooth Manifolds (Graduate Texts in Mathematics, Vol. Graduate Texts in Mathematics series (GTM), Springer. Elementary Topics in Differential Geometry J.A. McGraw-Hill Book Company, Inc., New York NY (1988). Thorpe Undergraduate Texts in Mathematics Springer-Verlag, New York NY (1979). Graduate Texts in Mathematics (GTM) Designed to bridge the gap between passive study and creative understanding, this series offers advanced-level introductions to current research. Very elementary differential geometry questions in Differential Geometry is being discussed at Physics Forums. In this streamlined introduction to the subject, the theory of manifolds is presented with the aim of helping the reader achieve a rapid mastery of the essential topics. No mention of parallel transport though (this you can find in Stoker Differential Geometry (Wiley Classics Library), in Goetz Introduction to Differential Geometry (Addison-Wesley Series in Mathematics), Millman-Parker Elements of Differential Geometry's, do Carmo Differential Geometry of Curves and Surfaces or Klingenberg's A Course in Differential Geometry (Graduate Texts in Mathematics), all of them introductory books on DG too. Elementary Topics in Differential Geometry (Undergraduate Texts in Mathematics) by John A.