University of Cebu-Banilad Library

Includes index.

1 Introduction -- 2 Forms of differential equations -- 3 Legendre polynomials -- 4 Formation of partial differential equations.

"Differential equation plays an interesting role in the undergraduate mathematics curriculum. It is a required course for most science and engineering students, many of whom will take major courses that require certain knowledge of and skills related to differential equations.In mathematics, Partial Differential Equations (PDE) are a type of differential equation, i.e., a relation involving an unknown function (or functions) of several independent variables and its (resp. their) partial derivatives with respect to those variables. Partial differential equations are used to formulate, and thus aid the solution of, problems involving functions of several variables; such as the propagation of sound or heat, electrostatics, electrodynamics, fluid flow, elasticity. Interestingly, seemingly distinct physical phenomena may have identical mathematical formulations, and thus be governed by the same underlying dynamic. This book is a unique blend of the theory of differential equations and its exciting applications to economics. It is mainly concerned with ordinary differential equations. The book provides not only a comprehensive introduction to applications of theory of differential equations to economic analysis, but also studies nonlinear dynamical systems which have been widely applied to economic analysis in recent years." --Backcover

College of Industrial Engineering Industrial Engineering

Text in English