Ongoing global changes bring fundamentally new scientific problems requiring new concepts and tools. A key issue concerns a vast variety of practically irreducible uncertainties, which challenge our traditional models and require new concepts and analytical tools. The uncertainty critically...

Intro -- Contents -- Foreword -- 1 Introduction -- 2 An Overview -- 3 Mathematical Preliminaries -- 4 Dynamic Programming under Certainty -- 5 Applications of Dynamic Programming under Certainty -- 6 Deterministic Dynamics -- 7 Measure Theory and Integration -- 8 Markov Processes -- 9 Stochastic...