The list author says: "[UG] = undergraduate; [AUG] = advanced undergraduate, [G] = graduate; [M] = very mathematical.
Serious books on special relativity suitable for self-study are strangely hard to find... here's what I've found. I've included some books on tensors at the bottom because serious students need to learn them and one should learn them separately.
Books listed roughly in order of my personal preferences."
"[AUG/G, M] Excellent but challenging: very concise, lucid, and totally rigorous. Stresses Maxwell's eqs at start. For math majors so heads up! Touches on many cool topics like gauge invariance. If you can hack the math, this book rocks!"
"[AUG] Highly recommended! Unique in that it covers elementary topics as well as a variety of advanced topics. Overall more advanced than advertised but wonderful for moving to an intermediate level. Great discussion of pole & barn paradox. Uses some differential geometry, group theory so be prepared."
"[AUG] Serious but great starter book (more demanding than French and IMHO overall superior to Taylor/Wheeler for a start). Don't know why it doesn't get more press. Very nice, detailed physics based treatment with solid math development. Clear self-study friendly exposition Has intro to general relativity."
"[UG/AUG] Unique, annoying neologisms: free-float frame, momenergy; math-lite. Stresses foundational issues often misunderstood. Ex: why mass is not same as energy; mass as invariant; unit conversion issues and importance (mass in length units, velocity as dimensionless scalar). Liked Q&A part. No answers to the interesting problems :( Don't miss out!"
"[UG/AUG] Easiest book on my list. Good first book making few demands on math skills. Dated in ways (a 60s book) but has lots of physics motivation. Very clear explanations. Way, way overpriced! Well, that's why there're libraries!"
"[G, M] Great mathematical treatment based on differential geometry aimed at physics-oriented folks. Has some advanced topics spinors, relativistic classical field theory. If you're ambitious, check it out!"
"[G, M] Rigorous, lucid math treatment of basic conceptual issues in ch 1 [99pp]. Then two chs on advanced topics incl. Spinors. Ch 1 superb for anyone who wants to understand the math foundations but pricey for that purpose."