DIFFERENTIAL EQUATIONS AND THEIR APPLICATIONS, THIRD EDITION
About this ebook
The book begins with the definitions, the physical and geometric origins of differential equations, and the methods for solving the first order differential equations. Then it goes on to give the applications of these equations to such areas as biology, medical sciences, electrical engineering and economics. The text also discusses, systematically and logically, higher order differential equations and their applications to telecommunications, civil engineering, cardiology and detection of diabetes, as also the methods of solving simultaneous differential equations and their applications. Besides, the book provides a detailed discussion on Laplace transforms and their applications, partial differential equations and their applications to vibration of stretched string, heat flow, transmission lines, etc., and calculus of variations and its applications.
The book, which is a happy fusion of theory and application, would also be useful to postgraduate students.NEW TO THIS EDITION
• New sections on:
(a) Equations reducible to linear partial differential equations
(b) General method for solving the second order non-linear partial differential equations (Monge’s Method)
(c) Lagrange’s equations of motion
• Number of solved examples in Chapters 5, 7, 8, 9 and 10.
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About the author
ZAFAR AHSAN, Ph.D., is a Professor at the Department of Mathematics, Aligarh Muslim University, Aligarh. He is Editor-in-Chief of Journal of Tensor Society of India (2010–2012), Managing Editor of Aligarh Bulletin of Mathematics (1998–2012); Editor, Palestian Journal of Mathematics, Editor, Journal of Interpolation and Approximation in Scientific Computing. Member of Editorial Boards of Global Journal of Advanced Research on Classical and Modern Geometries, Taif Journal of Mathematics and Statistics, Journal of Tensor Society and Journal of Calcutta Mathematical Society; Referee of various journals of mathematics and physics. Prof. Ahsan has been a Council Member of Indian Association for General Relativity and Gravitation (2002–2006); a Visiting Associate of Inter University Centre of Astronomy and Astrophysics (IUCAA), Pune (July 1996–June 2005) and a UGC Visiting Professor of Sardar Patel University, Vallabh Vidyanagar (April 2004–May 2005). He is also life member of Indian Association for General Relativity and Gravitation, Calcutta Mathematical Society, Indian Society of Industrial and Applied Mathematics, Indian Mathematical Society and Tensor Society of India.
Professor Zafar Ahsan has published 96 research papers in national and international journals of repute and has authored three books. His areas of research interest include General Relativity, Gravitation and The Quran and Modern Cosmology.
