Applied Linear Algebra & Differential Equations by Jeffrey R. Chasnov
Applied Linear Algebra and Differential Equations - Table of Contents
I-Linear Algebra - Matrices - Systems of Linear Equations - Vector Spaces - Determinants
II-Differential Equations - Introduction to ODEs - First-Order ODEs - Second Order ODEs, Constant Coefficients - Series Solutions - Systems of Linear Differential Equations - Nonlinear Differential Equations
What You Will Learn in Applied Linear Algebra and Differential Equations
"Applied Linear Algebra and Differential Equations" by Jeffrey R. Chasnov is a comprehensive textbook designed for second-year engineering and mathematics students. It integrates "linear algebra" and "differential equations" into a cohesive learning experience, emphasizing the practical applications of both subjects. The book presents concepts such as matrices, vector spaces, eigenvalues, and ordinary differential equations in a structured and accessible manner, helping students build a solid foundation in applied mathematics.
A key strength of Chasnov’s textbook is the extensive use of "worked examples" and exercises. Each concept is reinforced with practical problems, illustrating how linear algebra techniques can simplify the solution of differential equations. This hands-on approach encourages active learning and allows students to apply theoretical knowledge to real-world scenarios, enhancing their problem-solving skills and mathematical understanding.
Published under a Creative Commons license, Chasnov’s book is freely available online, reflecting his commitment to open-access education. In addition to the textbook, online courses like “Differential Equations for Engineers” and “Matrix Algebra for Engineers” provide supplemental learning opportunities. Jeffrey R. Chasnov’s work continues to serve as a valuable resource for students and educators seeking a practical, integrated approach to "linear algebra" and "differential equations".
Book Details & Specifications
Title:
Applied Linear Algebra & Differential Equations by Jeffrey R. Chasnov
Publisher:
Hong Kong University
Year:
2020
Pages:
153
Type:
PDF
Language:
English
ISBN-10 #:
N/A
ISBN-13 #:
N/A
License:
CC BY 3.0 HK
Amazon:
Amazon
About the Author: Jeffrey R. Chasnov
The author
Jeffrey R. Chasnov
is a renowned mathematician and educator, serving as a Professor of Mathematics at HKUST. He earned his Ph.D. from Columbia University and held postdoctoral positions at NASA, Stanford, and Université Joseph Fourier. His research focuses on "applied mathematics", including fluid turbulence, evolutionary genetics, and scientific computation. Chasnov is also a dedicated educator, authoring "Applied Linear Algebra and Differential Equations", a textbook freely available online. His work emphasizes clarity, practical applications, and open-access education, making complex topics like "differential equations" and "linear algebra" accessible to students and engineers worldwide.
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