This textbook presents state-of-the-art of kinetics of chemical reactions as an area of challenges and adventures. Concepts are illustrated throughout by many examples and the course combines basic knowledge with results obtained at the frontier of science. This second, extended and updated edition presents the current state of kinetics of chemical reactions, combining basic knowledge with results recently obtained at the frontier of science. Special attention is paid to the problem of the chemical reaction complexity with theoretical and methodological concepts illustrated throughout by numerous examples taken from heterogeneous catalysis combustion and enzyme processes. Of great interest to graduate students in both chemistry and chemical engineering. Introduction Chemical Reactions and Complexity Kinetic devices and experiments - Concepts and realizations Chemical Book-keeping - Linear Algebra in Chemical Kinetics Steady-state reaction theory of catalytic reactions. A Primer Steady-state reaction theory of catalytic reactions. Machinery Linear and Nonlinear Relaxation. Stability Non-Linear Mechanisms: Steady-State and Dynamics Kinetic Polynomial Temporal Analysis of Products (TAP)- Principles, Applications and Theory Joint Kinetics: A New Strategy in Chemical Kinetics Decoding the Past Decoding the Future