Linear Algebra to Differential Equations

Linear Algebra to Differential Equations is a book that focuses on the essential topics necessary for all engineering students, particularly computer science branch students. It discusses the application of linear algebra as a tool and the use of high-speed computers to study large systems of linear equations and differential equations. The book also covers Kronecker products and calculus of matrices, which are useful in dealing with linear systems of differential equations and matrix differential equations. It provides a quick and complete overview of linear algebra and introduces linear differential systems, serving the basic requirements of scientists and researchers in applied fields.

Format: Hardback
Length: 398 pages
Publication date: 27 September 2021
Publisher: Taylor & Francis Inc

Linear Algebra to Differential Equations is a comprehensive textbook that focuses on the essential topics necessary for all engineering students, particularly those in the computer science branch. With the advent of high-speed computers, the study of large systems of linear equations and linear differential equations has become increasingly important. This book provides a comprehensive introduction to linear algebra and differential equations, covering topics such as linear systems, matrix theory, vector spaces, and differential equations.

One of the key strengths of this book is its lucid presentation of complex concepts. The authors use clear and concise language to explain difficult topics, making them accessible to students with a range of backgrounds. The book also emphasizes the practical applications of linear algebra and differential equations, providing examples from various engineering fields.

In addition to its theoretical coverage, the book also includes numerous numerical methods and approaches that are useful in solving linear systems of equations. These methods include matrix decomposition techniques such as singular value decomposition (SVD) and principal component analysis (PCA), which are widely used in data analysis and machine learning.

Another notable feature of this book is its emphasis on the stability of solutions. The authors discuss the concept of stability and provide methods for analyzing the stability of solutions to differential equations. This is particularly important in fields such as control theory and robotics, where the stability of systems is critical.

Linear Algebra to Differential Equations is an excellent textbook for engineering students who need to develop a strong foundation in linear algebra and differential equations. The book is well-organized, easy to read, and filled with practical examples and exercises that help students apply the concepts learned in the text. Whether you are a first-year engineering student or a graduate student pursuing advanced studies in computer science, this book will be a valuable resource for you.

In conclusion, Linear Algebra to Differential Equations is a comprehensive and well-written textbook that provides a solid foundation in linear algebra and differential equations. The book's lucid presentation, practical applications, and emphasis on stability make it an invaluable resource for engineering students and researchers in applied fields. I highly recommend this book to anyone interested in learning these subjects.

Weight: 764g
Dimension: 242 x 160 x 30 (mm)
ISBN-13: 9780815361466