http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
Introduction to partial differential equations for scientists and engineers using mathematica
1 online resource (648 pages) : 183 illustrations
With a special emphasis on engineering and science applications, this textbook provides a mathematical introduction to PDEs at the undergraduate level. It takes a new approach to PDEs by presenting computation as an integral part of the study of differential equations. The authors use Mathematica® along with graphics to improve understanding and interpretation of concepts. They also present exercises in each chapter and solutions to selected examples. Topics discussed include Laplace and Fourier transforms as well as Sturm-Liouville boundary value problems.
chapter 1 Fourier Series -- chapter 2 Integral Transforms -- chapter 3 Sturm{liouville Problems -- chapter 4 Partial Dierential Equations -- chapter 5 The Wave Equation -- chapter 6 The Heat Equation -- chapter 7 Laplace And Poisson Equations -- chapter 8 Finite Dierence Numerical Methods -- chapter A. Table Of Laplace Transforms -- chapter B. Table Of Fourier Transforms -- chapter C Series And Uniform Convergence Facts -- chapter D. Basic Facts Of Ordinary Dierential Equations -- chapter E. Vector Calculus Facts -- chapter F. A Summary Of Analytic Function Theory -- chapter G. Euler Gamma And Beta Functions -- chapter H. Basics Of Mathematica -- chapter Bibliography -- chapter Answers to the Exercises.
by Kuzman Adzievski and Abul Hasan Siddiqi.