From the reviews: "The book is very well written, and will undoubtedly remain a major reference on the topic for years to come. It is an authoritative book which should be of interest to researchers in stochastic control, mathematical finance and applied mathematics. One of the main distinguishing features of this book is that it provides plenty of interesting exercises originated from financial market. It is very helpful for both beginners. I wish I had done these exercise when I was a student!" (Lu Qi, zbMATH 1422.93001, 2019) "The main purpose of this excellent monograph is to give a rigorous non-technical introduction to the most important and useful solution methods of various types of optimal stochastic control problems for jump diffusions and their applications. All the main results are illustrated by examples and exercises . This really helps the reader to understand the theory and to see how it can be applied.

This book is a very useful text for students, researchers, and practitioners working in stochastic analysis ." (Pavel Gapeev, Zentralblatt MATH, Vol. 1074, 2005) "The focus is on the applied aspect of the theory of control diffusion processes with jumps, particularly in finance and economy. A relatively large number of examples and exercises (with solutions) is provided, mainly typical models in finance, but also examples in biology, physics, or engineering. Summing up, this book is a very good addition to the stochastic control literature ." (Jose-Luis Menaldi, SIAM Reviews, Vol. 47 (4), 2005) "In recent time optimal control in finance is connected with modelling of stock prices by Lévy processes and considering of different transaction costs. In the last ten years the authors and their collaborators obtained a lot of results on this field.

The publication of this work in the present book seems to be a good way to attain a big audience. It is useful for students and practitioners in stochastic analysis." (Hans-Joachim Girlich, OR News, Issue 25, November, 2005).