Learning roadmap for the audio signal processing beginner I would like to start learning audio signal processing. There are numerous books online and academic papers all of which seem to skip the fundamentals of the topic.

I would like to know a rough roadmap, so to speak, to follow in order to successfully learn audio signal processing.

I have read that calculus is the first step before starting with signal analysis.

It feels to me like audio signal analysis is only one part of the overall knowledge needed. Where other topics are music theory, audio engineering and programming.

If I may ask people with knowledge on this area to suggest possible steps towards understanding how to analyse and manipulate/create audio signals.
I recommend having a look at Prof. Julius O. Smith III's Physical Audio Signal Processing. It's available online, or can be purchased through Amazon's print-on-demand service.

In particular, the description in the Book Series Overview might be worthwhile.