Anomalies in B Decays: A Sign of New Physics?

At the present time, there are a number of measurements of $B$-decay observables that disagree with the predictions of the standard model. These discrepancies have been seen in processes governed by two types of decay: (i) $b\to s{\mu }^{+}{\mu }^{-}u$ and (ii) $b\to c{\tau }^{-}\bar{\nu }$. In this talk, I review the experimental results, as well as the proposed new-physics explanations. We may be seeing the first signs of physics beyond the standard model.