“Differential Equations with MATLAB” (2nd ed.) is a supplemental text that can enrich and enhance any first course in ordinary differential equations. Designed to accompany Wiley’s ODE texts written by Boyce/DiPrima, Borrelli/Coleman and Lomen/Lovelock, this supplement helps instructors move towards an earlier use of numerical and geometric methods, place a greater emphasis on systems (including nonlinear ones), and increase discussions of both the benefits and possible pitfalls in numerical solution of ODEs.
Partial Differential Equations and Solitary Waves Theory
"Partial Differential Equations and Solitary Waves Theory" is a self-contained book divided into two parts: Part I is a coherent survey bringing together newly developed methods for solving PDEs. While some traditional techniques are presented, this part does not require thorough understanding of abstract theories or compact concepts.
Fundamentals of Electrical Engineering and Electronics
As one of the standard undergraduate texts in signals and linear systems theory, this manual is geared toward an advanced undergraduate student with a strong background in calculus and a previous introductory course in differential equations. The author uses a circuit analysis framework to introduce several key ideas such as state-space descriptions of differential and difference equations, Laplace and z-transforms, continuous-time and discrete-time Fourier transforms, and sampling, filtering, and modulation schemes.
Numerical Solution of Elliptic Differential Equations by Reduction to the Interface
This is the first book that deals with the numerical solution of elliptic partial differential equations by their reduction to the interface. Inheriting the beneficial features of finite element, boundary element and domain decomposition methods, the new approach exhibits linear-logarithmic complexity in the number of the interface degrees of freedom and it is well suited for parallel computations.
