The aim of the present is to acquaint the readers with the mathematical models extensively used not only in natural and engineering sciences, but also in a variety of disciplines of social sciences. Since the modeling of devices and phenomena is essential to both engineering and science, engineers and scientists have very practical reasons for doing mathematical modeling. In addition, engineers, scientists, and mathematicians want to experience the sheer joy of formulating mathematical models. These models are helpful to study the effects of different components, and to make predictions about their behavior and find tremendous applications through their use in facilitating economic evaluation and in a number of decision-making contexts including risk assessment, service planning and capacity modeling. The use of mathematical models avoids intuition and, in certain cases, the risk involved, time consumed and the cost associated with the study of primary research. I sincerely hope that this book will be a source of inspiration to the budding researchers and scientists for the discovery of new principles, ideas and concepts underlying a variety of disciplines of Mathematical Sciences.