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With the advancement of technology and general science, the applications of Mathematics becoming more and more extensive requiring on in- depth knowledge of different mathematical tools. This volume introduces students of Engineering and Physics to those areas of Mathematics which, from a modern point of view, seem to be very important in connection with practical problems. Almost all the chapters contained in the book deal with various aspects and applications of vector and matrices. The applications have established them as important tools for solving physical and engineering systems. Table of Contents: Vector Fundamentals Product of Vectors Vector Calculus Gradient, Divergence and Curl of Vectors Line Integral, Surface Integral Volume Integral of Vector Fields The Divergence Theorem Stoke’s Theorem and Green’s Theorem Matrix Fundamentals Matrix Product Matrix Inversion Rank of a Matrix and Elementary Transformations Linear and Simultaneous Linear Equations Characteristic Equation, Eigenvalues and Eigenvectors Index.Audience: Students of Engineering and Physics.