I study Computer Science, but our mathematic coures are a little bit to basic.
I'm looking for a "advanced Calculus" book for self-study that has a lot of exercises. The book should focus on explaining and not just containing a bunch of formulas.
what I already have learnt:
- Matrices
- Matrix transformation (e.g. Scale, Rotation, Translation and so on)
- Vector calculation in $\mathfrak{R}^2$ / $\mathfrak{R}^3$ (Cross Product, Dot Product, Projection and so on)
- Homogeneous coordinates
- plane / sphere / line equation
- derivation with one variable
- integration
- number series
- limit
- Complex Numbers / Quaternion (only rotation)
- basic in discrete Mathematics
what I especially want to learn:
- vector analysis
- multivariable integration/derivation
- Integral equation