A self-contained introduction to the basic regularity theory for energy minimizing maps, including recent developments in the structure of the singular set and asymptotics on approach to the singular set. Based on the lecture notes of Norbert Hungerbnhler, the text is organized into four sections covering analytic preliminaries, regularity theory for harmonic maps, approximation properties of the singular set, and rectifiability of the singular set. The text does not assume any specialized knowledge in partial differential equations or the geometric calculus of variations. Annotation c. by Book News, Inc., Portland, Or.
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