Differential Equations

Differential equations play an important role in the physical sciences. This treatise introduces the standard techniques for finding solutions to these equations and explores orthogonal polynomials, Green’s functions, and perturbation theory. These techniques form the basis of mathematical analysis used throughout the physical sciences. This book is suitable for an introductory course on differential equations for undergraduate students. Topics include first and second order differential equations, systems of differential equations, orthogonal polynomials, Green’s functions, perturbation theory, and analysis of nonlinear equations. These topics provide the foundation for understanding problems in the physical sciences for both graduate and undergraduate students.