Linear Algebra I: Basic Concepts

The University of Tokyo (UTokyo) Engineering Course's first volume of a two-volume book on linear algebra presents standard mathematical results from an engineering perspective, explaining how concepts like rank, eigenvalues, and singular values are linked to engineering applications and numerical computations.

Format: Hardback
Length: 316 pages
Publication date: 15 August 2022
Publisher: World Scientific Publishing Co Pte Ltd

This is the first volume of a two-volume book on linear algebra, presented by the University of Tokyo (UTokyo) Engineering Course. The objective of this volume is to present, from an engineering viewpoint, the standard mathematical results in linear algebra, such as those on systems of equations and eigenvalue problems. In addition to presenting mathematical theorems and formulas, it explains how the mathematical concepts of rank, eigenvalues, and singular values are linked to engineering applications and numerical computations.

In particular, the following four aspects are emphasized:

1. The concept of linear equations and their applications in engineering.
2. The theory of matrices and their properties, including matrix operations, determinants, and eigenvalues.
3. The solution of systems of linear equations using matrix methods, including the use of matrices in computer programming.
4. The analysis of linear systems, including stability and feedback control.

The book also includes numerous examples and exercises to help students apply the theoretical concepts to real-world engineering problems. Whether you are a student of engineering or mathematics, this book will provide you with a solid foundation in linear algebra and its applications in engineering.

ISBN-13: 9789811257025