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. Organized into nine chapters, this edition begins with an overview of an equation that involves a single unknown function of a single variable and some finite number of its derivatives. This text then examines a linear system of two equations with two unknowns. Other chapters consider a class of linear transformations that are defined on spaces of functions wherein these transformations are essential in the study of linear differential equations. This book discusses as well the linear differential equations whose coefficients are constant functions. The final chapter deals with the properties of Laplace transform in detail and examine as well the applications of Laplace transforms to differential equations. This book is a valuable resource for mathematicians, students, and research workers.
For the first time, MyLab(TM) Math is available for this text, providing online homework with immediate feedback, the complete eText, and more.
Known for its real-world applications and its blend of algebraic and geometric approaches, this text discusses mathematical modeling of real-world phenomena, with a fresh new computational and qualitative flavor evident throughout in ...
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.
Known for its real-world applications and its blend of algebraic and geometric approaches, this text discusses mathematical modeling of real-world phenomena, with a fresh new computational and qualitative flavor evident throughout in ...
The book combines core topics in elementary differential equations with concepts and methods of elementary linear algebra.
The contents of the book have been made user-friendly through concise useful theoretical discussions and numerous illustrative examples practical and pathological.
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 book combines core topics in elementary differential equations with concepts and methods of elementary linear algebra.
Elementary Differential Equations BVP with Linear Algebra W/Applications Set
The book is intended for mathematics or physics students engaged in ordinary differential equations, and for biologists, engineers, economists, or chemists who need to master the prerequisites for a graduate course in mathematics.