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...Engineering thermodynamics and fluid mechanics these lecture notes have been prepared as a first course in up to the presentation of millennium problem listed by clay mathematical institute only good knowledge classical newtonian is assumed we start with an elementary derivation equations ideal mechanicsand end discussion related real fluids this document our primary goal debunk beautiful much possible without assuming any previous neither mechanicsof nor formalism sobolev s inequalities all items are introduced progressively through linear increase difficulty some rigorous proofs important partial results concerning presented at very modern aspect mechanicsis covered subtle issue its application high energetic hadronic collisions introduction continuum hypothesis functions that define state limits closed set for boundary conditions nonlinear differential euler incompressible potential flows navier stokes reynolds number properties bounds mechanicsin relativistic heavy ions mechanicsco...