This book describes energy loss magnetic chiral dichroism (EMCD), a phenomenon in energy loss spectroscopy discovered in 2006. EMCD is the equivalent of XMCD but is based on fast probe electrons in the electron microscope. A spatial resolution of 2 nm has been demonstrated, and the lattice-resolved mapping of atomic spins appears feasible. EMCD is, thus, a promising technique for magnetic studies on the nanometer and sub-nanometer scale, providing the technical and logistic advantages of electron microscopy, such as in situ chemical and structural information, easy access, and low cost.