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.