When I planned this book seven years ago I had my graduate students at the University of Ulm in mind, diploma as well as doctoral students, who often asked me what literature they should work with. I used to suggest a list of ten to twenty (for my taste: excellent) treatises on NMR. Apparently this did not make them entirely happy. The difficulty which newcomers to the field face is to practise and to apply theoretical formalisms from different sources while still learning the principles of NMR and being actively engaged in NMR research. Although the text presented here is largely based on my lecture notes, the result is a "working book" rather than an introduction. It is intended to provide direct access to the basic information one needs for NMR diffusometry, relaxometry, and tomography applications. A "working book" is certainly not suitable to be read starting on page one and then carrying on until the last page. Boldly extrapolating my own reading habits to those of the typical scientist I am sure that this is not the way in which monographs of this kind are read nowadays. So my aim was to produce a treatise that offers easy and quick access for the reader to relevant matters of interest. I tried hard to ease the comprehension of NMR principles by extensive cross-referencing among the sections and chapters. Tomography, diffusometry and relaxometry are fields based on common phys ical principles.