About The Book The Book attempts to impart a thorough and comprehensive knowledge to the students pursuing BSc (Hons.), Msc, B.E. and M.E. courses under all leading universities in india and abroad. Various questions and problems set in different Indian universities and competitive examinations like GATE, AMIETE, etc. have been selected so as to make the reader familiar with the type of questions usually set therein. Apart from that objective type questions, short answer type questions and broad answer type questions have been added at the end of each chapter so as to judge the depth of understanding of the subject by the students. The Author Prof. Dr. S.P Kuila Msc, Phd (IIT, Kharagpur) Ex- Professor and Head, Department of Applied Physical Sciences; Chairman, Research and Development Cell Bengal Institute of Technology and Management, Santiniketan, WB and Former Professor of Physics, Abhedananda Mahavidyalya,Sainthia,Birbhum, WB . Overview of Contents Chapter 1: Determinants Chapter 2 : Matrices Chapter 3 : Linear Vector Space Chapter 4 : Infinite Series Chapter 5 : Complex Variables Chapter 6 : Beta and Gamma Functions Chapter 7 : Fourier Series Chapter 8 : Fourier Transformation Chapter 9 : Laplace Transforms Chapter 10 :Vector, Scalar, the Dot and Cross Product Chapter 11 : Vector Differentiation Chapter 12 : Vector Integration Chapter 13 : Curvilinear Coordinates Chapter 14 : Application of Vector Chapter 15 : Ordinary Differential Equations-I Chapter 16 : Ordinary Differential Equations-II Chapter 17 : Series Solutions of Differential Equations Chapter 18 : Special Functions Chapter 19 : Partial Differentiation Chapter 20 : Partial Differential Equations Chapter 21 : Applications of Partial Differential Equations Chapter 22 : Multiple Integral Chapter 23 : Probability

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