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Advanced calculus : vector analysis /
| Call Number: | Libro Electrónico |
|---|---|
| Main Author: | |
| Format: | Electronic eBook |
| Language: | Inglés |
| Published: |
New York [New York] (222 East 46th Street, New York, NY 10017) :
Momentum Press,
2016.
|
| Subjects: | |
| Online Access: | Texto completo |
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).