This textbook offers an effective and easy-to-follow coverage of the fundamentals of matrix analysis and numerical methods in engineering. Each topic is presented in great detail and accompanied by a large number of thoroughly worked-out examples, as well as several related exercises. Engineering applications, ranging from mechanical and electrical to structural systems are greatly stressed and integrated throughout the book. Highlights include a thorough presentation on linear algebra and matrix eigenvalue problem (Ch. 1-2 ) and an extensive coverage of fundamentals of numerical methods (Ch. 3), and their applications to differential equations (Ch. 4-5) and linear algebra (Ch. 6).