This book, as the title suggests, concentrates on Neanderthal finds, fossils, and tool-making, and it goes into a great deal of detail on the current state of our knowledge. In fact, I would say it's probably the most thorough discussion I've found of all the important Neanderthal finds, along with the many intermediate fossil discoveries that show the evolutionary progression of the Neanderthal line.
These include finds such as the Spanish Sima de los Huesos fossils, and the Greek Petrolona fossils, both of which strongly seem to represent an early, archaic form of Neanderthal in their heavier brow-ridges and smaller (about 1200 cc) braincases. Along with these, there are discussions of the several classic Neanderthal finds from France and Germany, too. As I mentioned, the author goes into a fair amount of anatomical detail discussing and comparing the fossils from the many different sites, and so this book may be somewhat difficult, dry, and technical for the non-specialist. Overall, however, it's a very thorough and detailed discussion of the state of our knowledge about this important homonid. The average reader, however, may find the author's prose a little turgid, and the overall technical level a little rough going, but in general, I can't fault the writing too much given the level of technical difficulty of the book.
In addition to the comparative anatomy, the author also discusses Neanderthal tool-making and cultural artifacts, such as the Mousterian industry, and others.
Given the difficulty of the book, I would recommend that many people read Richard Klein's The Dawn of Human Culture before tackling this book, unless you're already somewhat knowledgeable about human evolution. This is a more accessible and very readable book that discusses all the early pre-homonids and homonids from Ardipethicus ramidus up to Homo sapiens, giving much more equal weight to the different stages in human evolution. It will give you a better perspective on the entire line of human evolution before reading Jordan's more specialized volume, which heavily emphasizes Neanderthal. Jordan does provide later chapters discussing earlier and later fossils, so eventually he places Neanderthal in the context of the other homonids, but you don't find these until about half-way through the book.
Another nice point about Klein's book is the interesting discussion of high-tech dating methods and how they're being used, such as radio-isotope methods, luminescence dating, ESR or electron spin resonance techniques, and so on. Klein is also careful to discuss the pros and cons of each dating method, and what the difficulties are in using each method.
Overall, Jordan's book is an excellent, thorough, and fairly technical discussion of the subject which is worth reading despite being somewhat tough going for many readers.