Most of the shaping in the manufacture of polymeric objects is carried out in the melt state‎,‎ as it is a substantial part of the physical property development‎.‎ Melt processing involves an interplay between fluid mechanics and heat transfer in rheologically complex liquids‎,‎ and taken as a whole it is a nice example of the importance of coupled transport processes‎.‎ This book is on the underlying foundations of polymer melt processing‎,‎ which can be derived from relatively straightforward ideas in fluid mechanics and heat transfer‎;‎ the level is that of an advanced undergraduate or beginning graduate course‎,‎ and the material can serve as the text for a course in polymer processing or for a second course in transport processes‎.‎