I understand the basic idea of dimensional analysis well enough in the context of college level physics. But that is only one part of the book; it is a catalog

I understand the basic idea of dimensional analysis well enough in the context of college level physics. But that is only one part of the book; it is a catalog of impressive tricks (approximation, analogy, visual proofs) that Mahajan has accumulated over a long duration. The review on ams.org (by a structural engineer, not a mathematician) mirrors my difficulty (and fascination) with the book. https://www.ams.org/notices/201107/rtx110700960p.pdf https://www.ams.org/notices/201107/rtx110700960p.pdf