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The material in this book presented in two volumes covers and extensive array of topics for postgraduate students. The first volume covers topics on Convergence Analytic Functions Transform Calculus Matrices Vectors Tensors Calculus of Variation Simulation Fuzzy Logic Graph Theory Special Functions Probability Statistics Stochastic Processes and Queuing Theory. About the Author S. Vaidyanathan is ex-Professor and Head Department of Mathematics Anna University and currently Visiting Professor of Mathematics at the same University. He received his degrees of M.Sc (mathematics) and D Stat from University of Madras Chennai. He has been in academics and research and has to his credit the teaching and research experience of 37 years in handling BSc MSc BE MCA and postgraduate classes in engineering. He is life member of the Indian Mathematical Society Association of Mathematics Teachers of India and Ramanujam Mathematical Society.