The second revised and enlarged edition of this book introduces to the students of B.E., B.Tech., AMIETE and AMIE courses, the important application oriented areas of mathematics, specially in the field of technology and general science. It also caters to the requirements of the B.Sc.(Hons.) and M.Sc. students of Physics and Mathematics as well as institutions offering extended mathematical training and follows the general trend of broadening the curriculum in mathematics.
The book comprises 17 chapters. Almost all the chapters have dealt with various aspects of differential equations considering these as effective tools for modelling of physical and engineering systems. Solution of some special differential equations, viz. the Bessel, Legendre, Hermite, Leguerre and Tschebyscheff, have also been presented.
Numerical methods for solving differential equations have been presented and the solution methods to partial differential equations have been thoroughly covered. Fourier series has been explained in a separate chapter and the theory of functions of complex variables and the variational calculus have been discussed along with their applications in engineering and physical systems.
The newly added chapters include Fourier transform, Laplace transform, Z-transform and Probability theory and Statistics. Different aspects of direct and inverse transform have been added. Laplace transform method, being a very powerful tool for solving linear and non-linear differential equations have been discussed. Methods of solving integral equations have been discussed in a separate chapter. The book is an indispensable companion to the readers on account of its wide discussion of varied subject matter and solution of plenty of examples in a crystal clear language.
A.K. Mukhopadhyay :- Dr. Asok Kumar Mukhopadhyay is former Vice-Chancellor, Tripura University; former Sir R.B. Ghosh Professor in Electrical Engineering, Department of Applied Physics, Faculty of Technology and former Dean, Faculty of Engineering and Technology, University of Calcutta. He obtained his M.Tech and Ph.D. degrees from the University of Calcutta in 1967 and 1971, respectively, and was HOD, Applied Physics, University of Calcutta. His fields of interest include Modelling of Continuous and Discontinuous Systems of Electrical Engineering and Electronics and Microprocessor applications in the area of Monitoring, Control, Protection and Instrumentation. He has published over 155 technical papers in national and international journals. He is the recipient of the National Associateship, YESE Award; Best Technical Paper Award by the Central Electricity Authority, Govt. of India; Pandit Madan Mohan Malaviya Memorial Prize Railway Board Prize; The Union Ministry of Energy-Department of Power Medal, etc. for his outstanding contribution to the development of science and technology. Prof. Mukhopadhyay is Fellow of West Bengal Academy of Science and Technology; Institution of Engineers (India); Institution of Instrumentation Scientists and Technologists (India) Institution of Electronics and Telecommunication Engineers, India; Member of Indian Society for Technical Education; Society of Power Engineers (India) and Hony Member of the IEEE (ICC) USA. Prof. Mukhopadhyay has been nominated as the UNESCO International Expert in the field of Microprocessors, Microcomputers and their applications.