There are a number of situations in analysis, geometry, topology and physics where groupoids appear in a natural way. Some examples from analysis, geometry and topology will be described, along with some of what can be done using them. A few aspects of how to work with groupoids will also be discussed. At least the beginning will use only beginning graduate level mathematics, and some features of interest depend only on undergraduate mathematics. Eventually, measures and integrals are going to appear.

The main theme will be that groupoids have more flexibility than groups and that the flexibility adds something useful to the mathematician's toolkit.

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