Mukhopadhyay A A Course in Vector and Matrix Analysis Engineers Physicists 2020 | 192.29 MB

Title: A Course in Vector and Matrix Analysis for Engineers and Physicists
Author: A.K. Mukhopadhyay

Description:
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.
Contents:
Vector Fundamentals / Product of Vectors / Vector Calculus / Gradient, Divergence and Curl of Vectors / Line Integral, Surface Integral and 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

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