This is a splendid and very carefully prepared book. It gives very clear and concise explanations of the physical content of the special theory of relativity, and it puts those explanations together directly with the simplest correct mathematical descriptions. It makes the subject as simple as possible---but not simpler. The explanation is clear, and the problems are particularly well chosen and insightful. It is a way to establish a true and complete understanding of the subject as quickly as is reasonably possible. In my opinion, it is the best available introduction and the only book that is really "best choice" for a first course in the subject or as the primary text for self-study.
Not everyone has the same taste. Some people would like to study the subject with as much mathematics being forgiven as possible. Those people will want T. M. Helliwell's book "Special Relativity" instead. Most books that try to avoid almost all the mathematics end up avoiding almost everything interesting and sometimes give the wrong impression, at least in some details. Helliwell is distinguished among the "math lite" approaches.
An alternative textbook introduction is A.P. French "Special Relativity," intended for M.I.T. freshmen. Taylor and Wheeler offer "Spacetime Physics," roughly a more "Caltech like" or "Princeton like" approach. Wolfgang Rindler offers "Introduction to Special Relativity." Both French and Taylor/Wheeler are a little bit simpler, yet thorough introductions, and it is likely that most students would want one or the other as a supplementary text, especially if the goal is pure self-study. Taylor/Wheeler is more colorfully phrased. Rindler's book is almost encyclopedically complete, although I find some sections of his writing to be less clear than they really should be---considering that he is a world class scholar writing for one of the world's top technical publishing houses. Because his treatment is so complete, I think most people will want his book as their long-term reference on the subject. In my own opinion, these are all the "good" books on the subject. If you are a college junior or further along, Woodhouse seems the logical place to begin. College freshmen will probably want to start with French or Taylor/Wheeler instead. High school and below will probably make a better start with Helliwell.