The review by MSE Fanatic is right on target. If you carefully read Chapter 3 on Lie Algebra behind the Lorentz and Poincare groups should become clearer. If you want to have a mathematical insight into spinors and spin this is a great place to start your study.  This will help you approach the rotations,boosts, and translations seen in quantum field theory and other fields of physics.  I would like to make clear exactly what math you need to get the most out of this book.  As an example you will need to a clear understanding of tensor calculus, the Kronecker, Permutation tensors to understand math relating the K generator  (formula 3.145 to 3.147) . The conversion between tensor format and matrices can be very confusing unless you have a foundation in both tensor calculus and linear algebra. (See author side note  number 129). In places the author does a beautiful job demonstrating the switch from vector(tensor) format to matrix format.( Please see sections 3.157-3.158.) He also does a nice job of demonstrating the Taylor series for the first member of the Lorentz group. This would be a good time to refresh your memory on the hyperbolic sinh and cosh fuctions and series.  In other places you have to figure out the math for  yourself. The author frequently leaves it to the reader to calculate out the commutators. As stated in previously noted review it would be very helpful to self learners who are new to this math or have forgotten this math to have more of them written out.  Overall a wonderful book which gives you the algebra to appreciate many aspects of modern physics.