Mathematical systems are models of analysis and measurement of dynamic variables for applications in natural sciences and engineering disciplines. A mathematical model is significant to the mathematical study of a system and its different components. Prediction about system change and behavior is also studied in this discipline. Mathematical systems are involved in the characterization of abstract structures, statistical models and game theoretic models among many others. All mathematical models are built on the dynamics between different variables. Accordingly, these models are classified as linear or nonlinear, static or dynamic, deterministic or probabilistic, etc. This book present researches performed by experts across globe. It covers varied aspects of innovation and presents the ideas and concepts in a comprehensive manner. This book will assist researchers and students alike.