"Elements of Quantum Mechanics" targets as a text for studying and teaching Non-Relativistic Quantum Mechanics for advanced undergraduate and postgraduate students, teachers and faculty at colleges, universities and research institutions, and also for research scholars who need a clear understanding of basics and methods.The chapters are segregated according to the need and demand of courses to be taught for the semesters and for advanced studies. The historical evolution of quantum theory and the need for a radical change in outlook is explained in brief. In order to make the presentation as self-contained as possible, necessary mathematical methods are introduced, building on simple intuitive notions with which the students are familiar. Quantization of the Electro-magnetic field as needed for radiative transitions in atomic, molecular and nuclear physics is simply explained. Field theoretic methods for many-body problems often not treated adequately in introductory textbooks is introduced in the last chapter.