A First Course in Differential Equations with Applications

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A First Course in Differential Equations with Applications is an introductory text on differential and partial differential equations providing a basic understanding of an impor- tant branch of Applied Mathematics. Placing emphasis on applications, this book underpins a proper understanding of real world problems arising in diverse fields such as physical, biological, medical, environmental and agriculture sciences, different branches of engineering, information technology, and bioinformatics. Intended primarily to serve as a textbook for undergraduate students of science and engineering streams, this book would also be useful to postgraduate students of different disciplines. The book begins with an introduction to differential equations covering basic definitions and the role of these equations as mathematical models. It further discussesthe real world systems and their representation by differential equations of the first order. This is followed by power series solutions of the

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A.H.Siddiqi is currently Professor of Mathematics at King Fahd University of Petroleum & Minerals, Saudi Arabia. He is also a Senior Associate of International Centre of Theoretical Physics, Italy. He has published more than hundred research papers and four books and has edited six proceedings of the international conferences. He has been a member of the University Grants Commission, India, Mathematics Panel. P. Manchanda is currently Professor, Department of Mathematics, Guru Nanak Dev University, Amritsar, India. Earlier, she served as the Head of the same department. She has published more than twenty-five research papers and has edited a proceeding of an international conference. She has visited International Centre of Theoretical Physics, Italy several times as a visiting mathematician and has participated in several international conferences in different parts of the world.