Computational science is a rapidly growing multidisciplinary field concerned with the design, implementation, and use of mathematical models to analyze and solve real-world problems. It is an area of science that spans many disciplines and which involves the development of models and allows the use of computers to perform simulations or numerical analysis to understand problems that are computational and theoretical. Computational Science and its Applications provides an opportunity for readers to develop abilities to pose and solve problems that combine insights from one or more disciplines from the natural sciences with mathematical tools and computational skills. This requires a unique combination of applied and theoretical knowledge and skills. The topics covered in this edited book are applications of wavelet and fractals, modeling by partial differential equations on flat structure as well as on graphs and networks, computational linguistics, prediction of natural calamities and diseases like epilepsy seizure, heart attack, stroke, biometrics, modeling through inverse problems, interdisciplinary topics of physics, mathematics, and medical science, and modeling of terrorist attacks and human behavior. The focus of this book is not to educate computer specialists, but to provide readers with a solid understanding of basic science as well as an integrated knowledge on how to use essential methods from computational science. Features: Modeling of complex systems Cognitive computing systems for real-world problems Presentation of inverse problems in medical science and their numerical solutions Challenging research problems in many areas of computational science This book could be used as a reference book for researchers working in theoretical research as well as those who are doing modeling and simulation in such disciplines as physics, biology, geoscience, and mathematics, and those who have a background in computational science.

The book explains the basic concepts of calculus with their relevance to the real world problems. It focuses on applications with rigorous emphasis on analysis. Plenty of solved examples are given to clarify techniques related to a particular theme. The text is application oriented. Many interesting, relevant and up-to-date applications are drawn from the fields of business, economics, social and behavioural sciences, life sciences, physical sciences, and other fields of general interest. Applications are found in the main body of the text as well as in the exercise sets. In fact, it includes at least one real-life application in each section wherever possible. Appendices discuss concepts and themes, regarded as prerequisites, like the number system, trigonometric functions and analytic geometry. Proofs of many important theorems are also included. This book is meant to be used for a first course in calculus addressed to students of science and engineering.