Not looking for or expecting an "easy way". [8D] Just looking to make sure the order was logical. If a Calculus III (multivariable**) plus "Linear Algebra Done Right" and first year college Calculus based physics (heat, mech, light, & electromagnetic) and passing knowledge of what QM and GR are about would be enough appropriate background. Or if I should go to one of those other books (or something not listed) first.
** New account here so I can't link to syllabus but he's overview of material covered
- calculus operations on vector-valued functions, including derivatives, integrals, curvature, displacement, velocity, acceleration, and torsion.
- calculus operations on functions of several variables, including partial derivatives, directional derivatives, and multiple integrals.
- extrema and tangent planes
- Fundamental Theorem of Line Integrals, Green's Theorem, the Divergence Theorem, and Stokes' Theorem.
- cylindrical and spherical coordinate systems, three space vector operations.
- graphic and algebraic understanding of quadratic surfaces.
- concepts of limits and continuity to multivariable functions.