A new version of my book is now published. The free PDF and the leanpub versions are available now. The paperback and hardcover versions should be available on Amazon within the week.
What has changed:
- V0.3.2 (Dec 8, 2023)
- Add to helpful formulas: Determinant form of triple wedge.
- Add figure showing the spherical polar conventions picked.
- Add a problem showing that \( (e^x)’ = x’ e^x \) only when \( x \) and \( x’ \) commute, which is true for scalars and complex numbers, but not necessarily true for abstract entities, such as multivectors and square matrices.
- Spherical polar coordinates: do not skip steps for \( \mathbf{x}_\phi \) computation.
- Rewrite the Multivector potentials section. No longer pulling the ideas out of a magic hat, instead trying to motivate them. Compromised on the strategy to do so, leaving some of the details to problems.
This potentials rewrite I’ve been working on indirectly for the last month, and have published two blog posts about the topic, as well another that I wrote and discarded, but helped me form and sequence some of the ideas.
The exponential derivative topic was also covered on my blog recently. I’ve reworked that so that it is independent of the specific application to spherical polar coordinates, and set it as a problem for the reader (with solution at the end of chapter I in case I didn’t give enough hints in the problem statement.)