The application of mathematical methods by different fields such as engineering, science, business, industry and computer science is referred to as applied mathematics. It is a combination of mathematical science and specialized knowledge. Applied mathematics is also a professional speciality where the mathematical models are studied and formulated to work on practical problems. Some of the mathematical sciences which are closely related to applied mathematics are scientific computing, statistics, actuarial science, operations research and management science, mathematical economics, and applicable mathematics. The key theories and concepts used within this field are differential equations, approximation theory and applied probability. This book contains some path-breaking studies in the field of applied mathematics. It traces the progress of this field and highlights some of its key concepts and applications. The book is appropriate for students seeking detailed information in this area as well as for experts.