"As supplementary reading for a second course or as s comprehensive (!) resource for the general theory of processes aimed at Ph. D. students and scholars, this second edition will stay a valuable resource." (Rene L. Schilling, Mathematical Reviews, October, 2016) "This is a fundamental book in modern stochastic calculus and its applications: rich contents, well structured material, comprehensive coverage of all significant results given with complete proofs and well illustrated by examples, carefully written text. Hence, there are more than enough reasons to strongly recommend the book to a wide audience. Among them, there are good and motivated graduate university students. ... Also, the book is an excellent reference book." (Jordan M. Stoyanov, zbMATH 1338.60001, 2016)