Advanced calculus : : using differential functions of several variables / / Tunc Geveci.
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Place / Publishing House: | New York, [New York] (222 East 46th Street, New York, NY 10017) : : Momentum Press,, 2016. |
Year of Publication: | 2016 |
Language: | English |
Online Access: | |
Physical Description: | 1 online resource (71 pages) :; illustrations. |
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Table of Contents:
- 1. Parametrized functions
- Parametrized curves
- Tangent vectors
- Velocity
- 2. Differential equations for acceleration and curvature
- Acceleration
- The moving frame
- Arc length
- Curvature
- Tangential and normal components of acceleration
- 3. Real-valued functions
- Real-valued functions of two variables
- Real-valued functions of three or more variables
- 4. An introduction to partial derivatives
- Limits and continuity
- The definition and evaluation of partial derivatives
- The geometric interpretation of partial derivatives
- Higher-order partial derivatives
- 5. Linear approximations
- Local linear approximations
- The differential
- Functions of more than two variables
- Index.