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In day to day life, we intuitively understand how the world works. Drop a glass and it will smash to the floor. Push a wagon and it will roll along. Walk to a wall and you can't walk through it. There are very basic laws of physics going on all around us that we instinctively grasp: gravity makes things fall to the ground, pushing something makes it move, two things can't occupy the same place at the same time. Quantum mechanics has had enormous success in explaining many of the features of our universe. Quantum mechanics is often the only tool available that can reveal the individual behaviours of the subatomic particles that make up all forms of matter. Quantum mechanics has strongly influenced string theories, candidates for a Theory of Everything. Quantum theory also provides accurate descriptions for many previously unexplained phenomena, such as black-body radiation and the stability of the orbitals of electrons in atoms. It has also given insight into the workings of many different biological systems, including smell receptors and protein structures. Recent work on photosynthesis has provided evidence that quantum correlations play an essential role in this fundamental process of plants and many other organisms. This textbook focuses on its practical applications and is ideal for graduate students in physics, material sciences, and related disciplines.