[5] Beyond the basic theorems and proofs of this subject, the book includes many examples[1] and exercises,[3][5] and some history and information about current research.
[5][6] Reviewer Michael J. Kallaher cites as a "serious shortcoming" of the first edition its lack of coverage of applications of this subject, for instance to the design of experiments and to coding theory.
[1] The second edition has a section on applications but reviewer Tamás Szőnyi writes that it needs additional expansion.
[6] Because of the many types of geometry covered in the book, the coverage of each of them is, at times, shallow; for instance, reviewer Theodore G. Ostrom complains that there is only half a page on non-Desarguesian planes.
[2] Additionally, Kallaher feels that block designs should have been included in place of some of the more esoteric geometries described by Batten.