This book ELEMENTARY LINEAR ALGEBRA is a well-organized, lucidly written text introducing the reader to system of equations, vector spaces, linear transformations, eigen values and eigen vectors.
A comprehensive introduction, Linear Algebra: Ideas and Applications provides a discussion of the theory and applications of linear algebra that blends abstract and computational concepts. With a focus on the development of mathematical intuition, the book emphasizes the need to understand both the applications of a particular technique and the mathematical ideas underlying the technique.
The Linear Algebra Problem Book is an ideal text for a course in linear algebra. It takes the student step by step from the basic axioms of a field through the notion of vector spaces, on to advanced concepts such as inner product spaces and normality. After working their way through the book, students will understand not only the theorems of linear algebra, but also some of the questions which were asked which enabled the theorems to be discovered in the first place.
Applied Mathematics covers a wide range of key topics in mathematical methods and modeling and highlights the connections between mathematics and the applied and natural sciences. It covers both standard and modern topics, including scaling and dimensional analysis; regular and singular perturbation; calculus of variations; Green's functions and integral equations; nonlinear wave propagation; and stability and bifurcation.