**Physics Today--Perspectives:** Motivation. Origin and Importance of Non-equilibrium Phenomena. Today's Mechanical World View: A Historical Outline. Continuum Theories of Mass-point Fluids. Gibbsian Thermostatics? **FalkianDynamics--An Introduction:** Falk's Principle. Gibbs Fundamental Equation and System Modeling. Equilibria and Criteria of Stability. Mathematical Foundation of Falk's Dynamics I: Mappings. Mathematical Foundation of Falk's Dynamics II: Systems. **Motion and Matter:** Basic Equations. Callen's Principle. Energy-Momentum Transport and Matter Model. Realistic Concept of Real Matter. **Systems and Symmetry:** An Approach to Implant Space and Time in Physics. Falk's Dynamics of Hamiltonian Systems. Review of the Noether Theorem. Phases, Heating, and Power as Interaction Phenomena. **Barriers and Balances:** Body-Field Systems. Multi-component Multi-phase Properties. Time Parameters in Thermodynamics of Fluid Systems. Balance Equations. **Non-equilibrium Processes:** Dissipation Velocity. Kinetic Equilibrium in Fields. Three Additional Theorems Concerning Non-Equilibrium. Hypothetical State at Rest. Constitutive Properties of Matter. **General Equation of Motion and its Approximations:** ElementaryPicture of Dissipation. General Equation of Motion. Some Remarks on Turbulent Flows. Conservation of Angular Momentum. Nacier-Stokes-Fourier Fluids. Simplified Models of Dissipative Flows. **"Paradigmata are the Winner's Dogmata":** Selection of Paragons. Vorticity-Influenced Flows. Basic Applications of Gasdynamics. Complex Flow Phenomena. **Gibbs-Falkian Electromagnetism:** A Quandary Concerning Electromagnetic Field Variables. Perspectives and Electromagnetic Units. Falk's Dynamics of Electromagnetic Phenomena. Maxwell's Equations. Non-Equilibrium Flows in Polarized Fluids. Sundry Remarks on an Electromagnetic Dilemma. Appendices. List of Fr