This text emphasizes the physical interpretation of mathematical solutions and introduces applied mathematics while presenting differential equations. Coverage includes Fourier series, orthogonal functions, boundary value problems, Green’s functions, and transform methods.

This text is ideal for students in science, engineering, and applied mathematics. 

1.Heat Equation

2.Method of Separation of variables

3. Fourier Series 

4. Wave Equation: Vibrating Strings and Membranes 

5. Sturm-Liouville Eigenvalue Problems 

6. Finite Difference Numerical Methods for Partial Differential Equations 

7. Higher-Dimensional Partial Differential Equations 

8. Nonhomogeneous Problems 

9. Green's Functions for Time-Independent Problems

Richard Haberman is Professor of Mathematics at Southern Methodist University, having previously taught at The Ohio State University, Rutgers University, and the University of California at San Diego.  He received S.B. and Ph.D. degrees in applied mathematics from the Massachusetts Institute of Technology.  He has supervised six Ph.D. students at SMU.  His research has been funded by NSF and AFOSR.   His research in applied mathematics has been published in prestigious international journals and include research on nonlinear wave motion (shocks, solitons, dispersive waves, caustics), nonlinear dynamical systems (bifurcations, homoclinic transitions, chaos), singular perturbation methods (partial differential equations, matched asymptotic expansions, boundary layers) and mathematical models (fluid dynamics, fiber optics). He is a member of the Society for Industrial and Applied Mathematics and the American Mathematical Society. He has taught a wide range of undergraduate and graduate mathematics.  He has published undergraduate texts on Mathematical Models (Mechanical Vibrations, Population Dynamics, and Traffic Flow) and Ordinary Differential Equations. 

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