Advanced calculus : using differential functions of several variables /
Tunc Geveci.
- 1 online resource (71 pages) : illustrations.
Co-published with Cognella Academic Publishing. Includes index.
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.
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