As an equivalent counterpart of topological research on photonics and condensed matter physics, acoustic metamaterials create an opportunity to explore the topological behaviors in phononics and physics of programmable acoustics. This book introduces the topological behavior of acoustics through the novel design of metamaterials. It provides valuable insight into acoustic metamaterials, from multidisciplinary fundamentals to cutting-edge research. Serves as a single resource on acoustic metamaterials. Covers the fundamentals of classical mechanics, quantum mechanics, and state-of-the-art condensed matter physics principles so that topological acoustics can be easily understood by engineers. Introduces topological behaviors with acoustics and elastic wave through quantum anomalous Hall effects, quantum spin Hall effects and quantum valley Hall effects and their applications. Explains the pros and cons of different design methods and gives guidelines for selecting specific designs of acoustic metamaterials with specific topological behaviors. Includes MATLAB code for numerical analysis of band structures. This book is designed for graduate students, researchers, scientists, and professionals across materials, mechanical, civil, and aerospace engineering, and those who want to enhance their understanding and commence research in metamaterials.