Easy and affordable University Course on Mathematical Analysis of a real variable and Linear Algebra. Volume III.B. Introduction to Linear Algebra with an Introduction to Numerical Linear Algebra.

This book is an introduction to linear algebra (vector spaces, matrices, determinants of matrices, and a comprehensive discussion of systems of linear equations) with an introduction to numerical linear algebra that deals primarily with the numerical problem of solving linear systems. Therefore, we highly recommend that prospective readers purchase this book for its excellent introduction to numerical linear algebra. This will allow readers to discover if they enjoy numerical analysis, algorithms, and programming as early as possible in their studies and potentially steer their career in a programming direction, or conversely, discover that they have little to no interest in it. Furthermore, the introduction to linear algebra presented in this book is also very good, complete, and rigorous, with the exception that it does not cover linear transformations or canonical forms, which we have left for more advanced topics in a separate book.It should also be noted that we have published this book without the introductory section on Numerical Linear Algebra, with the title “Volume III.A. Linear Algebra. Vector Spaces, Matrices, Determinants, and Systems of Linear Equations” so that readers are aware and don't purchase both. For readers who have already purchased this book, we have another one containing only the Numerical Linear Algebra section, titled “Appendix. Introduction to Numerical Linear Algebra.” Read more