This book brings together numerous contributions to the field of magnetoelectric (ME) composites that have been reported since the beginning of the new millennium. It presents assimilation of facts into the established knowledge, so that the potential of the field can be made transparent to the new generations of talent to advance the subject matter. This book discusses these bulk and nanostructured magnetoelectric composites from both experimental and theoretical perspectives. From application viewpoint, microwave devices, sensors, transducers, and heterogeneous read/write devices are among the suggested technical implementations of magnetoelectric composites.