Applied Partial Differential Equations with Fourier Series and Boundary Value Problems (Classic Version)
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Home > Mathematics and Science Textbooks > Mathematics > Applied Partial Differential Equations with Fourier Series and Boundary Value Problems (Classic Version): (Pearson Modern Classics for Advanced Mathematics Series)
Applied Partial Differential Equations with Fourier Series and Boundary Value Problems (Classic Version): (Pearson Modern Classics for Advanced Mathematics Series)

Applied Partial Differential Equations with Fourier Series and Boundary Value Problems (Classic Version): (Pearson Modern Classics for Advanced Mathematics Series)


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About the Book

Applied Partial Differential Equations with Fourier Series and Boundary Value Problems emphasises 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.

Table of Contents:
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 10. Infinite Domain Problems: Fourier Transform Solutions of Partial Differential Equations 11. Green’s Functions for Wave and Heat Equations 12. The Method of Characteristics for Linear and Quasilinear Wave Equations 13. Laplace Transform Solution of Partial Differential Equations 14. Dispersive Waves: Slow Variations, Stability, Nonlinearity, and Perturbation Methods Bibliography Answers to Starred Exercises Index

About the Author :
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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Product Details
  • ISBN-13: 9780134995434
  • Publisher: Pearson Education (US)
  • Publisher Imprint: Pearson
  • Height: 231 mm
  • No of Pages: 784
  • Series Title: Pearson Modern Classics for Advanced Mathematics Series
  • Weight: 998 gr
  • ISBN-10: 0134995430
  • Publisher Date: 01 Mar 2021
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Spine Width: 28 mm
  • Width: 188 mm


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Applied Partial Differential Equations with Fourier Series and Boundary Value Problems (Classic Version): (Pearson Modern Classics for Advanced Mathematics Series)
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