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.

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

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