This new book by Vadim Tsytovich resulted from his lectures on electrostatic waves and turbulence in plasmas for postgraduate students. Thus, in the opinion of this reviewer, it has the character of a textbook, though on a very high level. It is indeed well suited for postgraduate students intending to dig into the field of non-linear plasma phenomena beyond the usual theory on electrostatic waves and instabilities taught to students. It is just as well suited for researchers in theoretical plasma physics trying to expand their knowledge in this special field. The fact that Vadim Tsytovich is a recognized expert in the field of plasma instabilities and non-linear processes and the responsibility of Dik ter Haar for the translation are definitely recommendations for this book. That this is a textbook is also supported by the gradual approach to plasma non-linearity, starting with the well known longitudinal waves, Debye phenomena, electrostatic linear and quasi-linear instabilities. In the first chapter of his book, the author discusses various fields of application for studies of non-linear plasma kinetics. The second chapter on collective plasma oscillations can be skipped by plasma theoreticians but the third chapter on random collective excitations and quasi-linear phenomena contains some interesting approaches to the subjects. Continuing in the book, a solid knowledge of fundamental phenomena in plasma waves and instabilities is definitely required. In his formalistic calculations describing non-linear plasma kinetics, the author develops appropriate models from physical arguments rather than trying to adhere to rigorous mathematical analysis of the problem which in many cases would be extremely difficult to solve (if at all possible). The more argumentative physical approach is advantageous; real understanding of the physics involved in the processes is the decided aim of the author and in this he succeeds very well. Though the author discusses non-linear phenomena in magnetic fields in Chapter 14, the text concentrates on electrostatic phenomena in plasmas, such as fluctuations and particle collisions, non-linear electrostatic interactions, scattering of waves by particles, weak and strong Langmuir turbulence, decay and modulational interactions, plasma maser effects and collective effects in bremsstrahlung. Further evidence for this being a textbook are the problems posed at the end of every chapter. These, however, should help teachers of the subject as no assistance with the solutions of the problems is included. Quite a number of the problems are considered quite problematical for postgraduate students without any indication of the solution. There are also a few points which this reviewer feels must be criticized. Instead of using the correct terms gyro frequency and gyro motion, the author uses Larmor frequency and Larmor motion. These are incorrect in this context as Larmor motion is the precession of an atom in a magnetic field and not the gyration of a charged particle around magnetic field lines. Also, Larmor frequency differs by a factor of two from gyro frequency. Another incorrect term is distribution function. The correct designation is probability density or density function. The distribution function is the integral over the density function (according to Kolmogorov!). And then: was the author really serious when he defined the particle velocity by (cf Glossary p 361) with p being the particle momentum and the particle energy ( defined on p 44)? Concluding, this book on non-linear plasma kinetics can be recommended not only to postgraduate students in plasma physics but also to active researchers, who will find quite a few new ways of approach to many a problem they are concerned with and possibly many subjects they are not so familiar with. The fact that the author has a talent for making the physics in these processes clear to the reader is quite a help.