Advanced calculus : using differential functions of several variables
Calculus Differential calculus
Momentum Press
2016
EISBN 9781606508787
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.
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.
