Advanced calculus : : vector analysis / / Tunc Geveci.

• VerfasserIn: Geveci, Tunc.,
• Place / Publishing House: New York, [New York] (222 East 46th Street, New York, NY 10017) : : Momentum Press,, 2016.
• Year of Publication: 2016
• Language: English
• Physical Description: 1 online resource (70 pages) :; illustrations.
• Notes: Co-published with Cognella Academic Publishing.; Includes index.

Table of Contents

1. Understanding vector fields, divergence, and curl vector fields -- The divergence and curl of a vector field --

2. Understanding line integrals -- The integral of a scalar function with respect to arc length -- The line integral of a vector field in the plane -- The line integral as an integral with respect to arc length -- The differential form notation -- Curves in R3 -- Precise definitions and proofs --

3. Conservative vector fields -- The fundamental theorem for line integrals -- Conditions for a field to be conservative --

4. Parametrized surfaces -- Parametrized surfaces -- Normal vectors, tangent planes and orientation -- The orientation of a surface and an expression for the normal vector (optional) --

Index.