Description

Students will find all the information covered in the standard textbooks--and more--explained clearly and concisely in this powerful study tool. Unusually detailed, it elucidates all the most difficult-to-grasp concepts that class studies and texts sometimes gloss over. The hundreds of problems with fully explained solutions illuminate important points and teach students sound problem-solving skills. Ideal, also, for independent study.

 

Table of Contents

Vectors.
Vector Functions of Real Variable.
Concept of Curve.
Curvature and Torsion.
Theory of Curves.
Elementary Topology in Euclidean Spaces.
Vector Functions of Vector Variable.
Concept of Curve.
First and Second Fundamental Forms.
Theory of Surfaces.
Tensor Analysis.
Intrinsic Geometry.
Appendix.
Existence Theorem for Curves.
Existence Theorem for Surfaces.