Mathematics is a methodical application of matter. Mathematicians seek out patterns and use them to formulate new assumptions. Mathematicians determine the truth or falsity of assumptions by mathematical proof. When mathematical structures are good models of real phenomena, then mathematical reasoning can provide insight or forecast about nature. Through the use of abstraction and logic, mathematics developed from counting, calculation, measurement, and the systematic study of the shapes and motions of physical objects. Practical mathematics has been a human activity from as far back as written records exists. Mathematics makes our life orderly and prevents chaos. Certain qualities that are nurtured by mathematics are power of reasoning, creativity, abstract or spatial thinking, critical thinking, problem-solving ability and even effective communication skills. Mathematics is the frame of all creations, be it a cook or a farmer, a carpenter or a mechanic, a shopkeeper or a doctor, an engineer or a scientist, a musician or a magician, everyone needs mathematics in their day-to-day life.

This book discusses various new issues and developments in different areas of mathematics and its applications. It presents topics that treat mathematical analysis and its numerous applications. The book is devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. This book will of interest to mathematicians, scientists and engineers providing original research studies in all aspects of pure mathematics, applied mathematics as well as applications of mathematics in chemistry, biology, physics, engineering, geophysics, computing and finance.