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The present book is designed for the course in Applied Mathematics to meet the requirements of the second year Diploma courses for all the engineering branches of different Technical Boards of Education in India. The objective of this book is to provide a simple presentation of the concepts, emphasizing understanding without sacrificing mathematical rigour. The book is composed of seven chapters. Each chapter presents illustrative solved examples and exercises. The problems given in exercises would develop interest and encourage the students to explore new ideas. The book presents an exhaustive coverage of the theory, formulae and a large number of solved examples to make the underlying principles more comprehensive. Salient Features: The subject matter is presented in a very systematic and logical manner. Emphasis has been laid on fundamentals. On each topic problems have been divided into different types and working rules for solving them have been given. Large number of solved examples have been provided in every chapter for better understanding of the subject, this will also be greatly helpful in building confidence and skill among the students