| from the umiami website:
?Industrial Engineers are concerned with the design, implementation, and improvement of integrated systems of people, materials, equipment and energy. A major distinction between industrial engineering and other branches of engineering is that the industrial engineer must consider not only the action of machines that are governed by physical laws but also the behavior of people in organizations. Industrial engineering is often called the people-oriented engineering discipline, and its applications are widely expected in industrial, manufacturing, service, commercial and governmental activities.
Manufacturing engineers apply their knowledge to selection of proper manufacturing processes, design of flexible manufacturing systems, and the implementation of robotics, automation and control technology in manufacturing."
so it seems industrial is a more general management/systems operations sort of degree, while manufacturing is specific to the manufacturing process | 
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