Description: This book is an elementary account of the geometry of curves and surfaces. It is written for students who have completed standard courses in calculus and linear algebra, and its aim is to introduce the main ideas of differential geometry. The topics discussed are given in the concrete context of surfaces in three dimensional space. This discipline is highly applicable to theoretical mathematics, but more practically, is also important to virtually every branch of science and engineering.

Written primarily for readers who have completed the standard first courses in calculus and linear algebra. Elementary Differential Geometry, Second Edition provides an introduction to the geometry of curves and surfaces. Although the popular First Edition has been extensively modified, this Second Edition maintains the elementary character of that volume, while providing an introduction to the use of computers and expanding discussion on certain topics. Further emphasis has been placed on topological properties, properties of geodesics, singularities of vector fields, and the theorems of Bonnet and Hadamard. For readers with access to the symbolic computation programs, Mathematica or Maple, the book includes approximately 30 optional computer exercises. These are not intended as an essential part of the book, but rather an extension. No computer skill is necessary to take full advantage of this comprehensive text.
-- Gives detailed examples for all essential ideas
-- Provides more than 300 exercises
-- Features more than 200 illustrations
-- Includes an introduction to using computers, and supplies answers to computer exercises given for both Mathematica and Maple systems

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