For combined differential equations and linear algebra courses teaching students who have successfully completed three semesters of calculus. This complete introduction to both differential equations and linear algebra presents a carefully balanced and sound integration of the two topics. It promotes in-depth understanding rather than rote memorization, enabling students to fully comprehend abstract concepts and leave the course with a solid foundation in linear algebra. Flexible in format, it explains concepts clearly and logically with an abundance of examples and illustrations, without sacrificing level or rigor. A vast array of problems supports the material, with varying levels from which students/instructors can choose.
The book combines core topics in elementary differential equations with concepts and methods of elementary linear algebra.
For the vectors b for which Ax = b is indeed a consistent equation, how many solution vectors x does each equation have? Why? Suppose that A is a 3×4 matrix for which the homogeneous equation Ax = 0 has exactly one free variable present ...
The contents of the book have been made user-friendly through concise useful theoretical discussions and numerous illustrative examples practical and pathological.
Elementary Differential Equations with Linear Algebra, Third Edition provides an introduction to differential equation and linear algebra. This book includes topics on numerical methods and Laplace transforms.
This volume offers an exploration of both ordinary differential equations and linear algebra - motivated throughout by applications to science and engineering.
... for in this case [yp](s)=s[yp](s), [yp](s)=s2[yp](s). As we will see in the examples, this assumption also makes it possible to deal with the initial ...
Excellent introductory text focuses on complex numbers, determinants, orthonormal bases, symmetric and hermitian matrices, first order non-linear equations, linear differential equations, Laplace transforms, Bessel functions, more.
This book caters to the needs of Engineering students in general and in particular, to students of Computer Science & Engineering, Artificial Intelligence, Machine Learning and Robotics.
Differential Equations with Linear Algebra
Developed from the author's successful two-volume Calculus text this book presents Linear Algebra without emphasis on abstraction or formalization.