A Digital Signal Processing Primer
by Ken Steiglitz · first published 1996
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2018–2025first – last mentioned
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I second Lyons. In addition, "Digital Signal Processing: A Practical Guide" by Steven Smith is also quite approachable -- immersion in calculus not required. "A Digital Signal Processing Primer" by Ken Steiglitz is a nice but rigorous intro to the subject. Written by an EE academic, it's more mathematically rigorous than Smith or Lyons. Allen Downey's "Think DSP" is also worth a look, though…
on “Ask HN: What are the best textbooks in your field of expertise?” ↗…mathematics the attendant visualizations can be helpful to impart an intuitive understanding of what the DFT is doing with its inputs. While I would recommend a text that covers the topic such as "A Digital Signal Processing Primer" by Ken Steiglitz, Gemini was able to show the response graph of a DFT window function with the following prompt: "what is the z transform of the hamming window in a discrete fourier transform context"
on “Fourier Transforms” ↗