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.