Elementary Differential Geometry, Revised 2nd Edition

This edition maintains the accessibility of the first, while providing an introduction to the use of computers and expanding discussion on certain topics. Further emphasis is placed on topological properties, properties of geodesics, singularities of vector fields, and the theorems of Bonnet and Hadamard. A thorough update of commands for the symbolic computation programs Mathematica or Maple, as well as additional computer exercises are included.