A Journey into Reciprocal Space: A Crystallographer's Perspective . By A. M. Glazer. Morgan & Claypool, 2017. Paperback, pp. 190. Price USD 55.00. ISBN 9781681746203.

For students of crystallography and solid-state physics, coming to terms with reciprocal space means travelling down a thorny road. In this context, a book titled A Journey into Reciprocal Space: A Crystallographer’s Perspective by A. M. Glazer, published by IOP Publishing in the ‘Concise Physics’ series, could fill a glaring gap. The target audience is solid-state physicists who need a gentle introduction to crystallographic concepts and an overview of the field as seen through the eyes of a crystallographer. The book can be divided into a part on crystallography (Chapters 1–3) and a part on solid-state physics (Chapters 5 and 6), with Chapter 4 (‘Dynamical diffraction’) bridging the two. The book has numerous positive aspects. For example, the author warns of common pitfalls (for example monoclinic meaning 61⁄4 90 ), denounces misconceptions such as ‘lattice structure’ and recounts interesting historical anecdotes such as the ‘photosommateur’. Practical applications (for example the metric tensor, measurement methods, Ewald construction, analysis of the Patterson map) are easy to follow. Sadly, however, the presentation is not as rigorous as one could have expected. The less serious, but not less fastidious, problem is inconsistent typography, which gives a sloppy impression. Lengths, vectors and axes are typeset arbitrarily in bold and italics; differentials of volume integrals are systematically written as dr instead of the correct dr. F is designated an ‘amplitude’ and in the next line used as a complex number. The parts of the book that contain the most errors are the mathematical derivations. Only two of the worst errors (one in each part) shall be mentioned here. The Fourier transform of a lattice is given as