The study of various topics such as quantity, space, change, and structure, is referred to as mathematics. It is broadly categorized into two areas, namely, pure mathematics and applied mathematics. Pure mathematics concentrates solely on mathematical concepts without delving into their applications. In contrast, applied mathematics employs mathematical concepts across diverse fields such as engineering, computer science, and business. Key areas of mathematics include number theory, geometry, arithmetic, mathematical analysis, and algebra. Mathematics holds significance across multiple domains, including engineering, natural science, social sciences, finance, and medicine. Advances in applied mathematics have led to the emergence of new mathematical disciplines like statistics and game theory. Through this book, constant effort has been made to make the complex subject of mathematics easy and informative for the students. The topics covered in it deal with the core aspects of the subject. Coherent flow of topic, student-friendly language and extensive use of examples make this book an invaluable source of knowledge.