Customer Reviews
An Excellent Resource Everyone Should Ownby Anonymous
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This book is incredible. It walks through the basics and it covers the entire subject at a nice pace.
What your instructor is too smart to teachby Anonymous
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This PDE book is definitely a better alternative to an undergrad engineering student than a text book. The author gives you a step by step understanding in simple terms, instead of having your instructor confuse you. It gives good examples that are worked out with the solutions. Overall I thought it was definitely worth the $11 spent. I wish I hadn't bought my class textbook($65), and got this one...
Need help with PDE's? Here it is.by Anonymous
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This is a marvellous aid for those of us who know a little bit about PDEs, but cannot keep the many kinds disparate solution methods organized. Farlow has written a highly structured reference that shows how to classify and solve many of the most important PDEs that arise in physical science and engineering. This book gives great physical insight, and practical advice. Nevertheless, it is probably...
Overview -
Partial Differential Equations for Scientists and Engineers
Product Details
- Pub. Date: September 1993
- Publisher: Dover Publications
- Sales Rank: 118,573
Synopsis
This highly useful text for students and professionals working in the applied sciences shows how to formulate and solve partial differential equations. Realistic, practical coverage of diffusion-type problems, hyperbolic-type problems, elliptic-type problems and numerical and approximate methods. Suggestions for further reading. Solution guide available upon request. 1982 edition.
Editorial Reviews -
Partial Differential Equations for Scientists and Engineers
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Features -
Partial Differential Equations for Scientists and Engineers
Table of Contents
1. Introduction
Lesson 1. Introduction to Partial Differential Equations
2. Diffusion-Type Problems
Lesson 2. Diffusion-Type Problems (Parabolic Equations)
Lesson 3. Boundary Conditions for Diffusion-Type Problems
Lesson 4. Derivation of the Heat Equation
Lesson 5. Separation of Variables
Lesson 6. Transforming Nonhomogeneous BCs into Homogeneous Ones
Lesson 7. Solving More Complicated Problems by Separation of Variables
Lesson 8. Transforming Hard Equations into Easier Ones
Lesson 9. Solving Nonhomogeneous PDEs (Eigenfunction Expansions)
Lesson 10. Integral Transforms (Sine and Cosine Transforms)
Lesson 11. The Fourier Series and Transform
Lesson 12. The Fourier Transform and its Application to PDEs
Lesson 13. The Laplace Transform
Lesson 14. Duhamel's Principle
Lesson 15. The Convection Term u subscript x in Diffusion Problems
3. Hyperbolic-Type Problems
Lesson 16. The One Dimensional Wave Equation (Hyperbolic Equations)
Lesson 17. The D'Alembert Solution of the Wave Equation
Lesson 18. More on the D'Alembert Solution
Lesson 19. Boundary Conditions Associated with the Wave Equation
Lesson 20. The Finite Vibrating String (Standing Waves)
Lesson 21. The Vibrating Beam (Fourth-Order PDE)
Lesson 22. Dimensionless Problems
Lesson 23. Classification of PDEs (Canonical Form of the Hyperbolic Equation)
Lesson 24. The Wave Equation in Two and Three Dimensions (Free Space)
Lesson 25. The Finite Fourier Transforms (Sine and Cosine Transforms)
Lesson 26. Superposition (The Backbone of Linear Systems)
Lesson 27. First-Order Equations (Method of Characteristics)
Lesson 28. Nonlinear First-Order Equations (Conservation Equations)
Lesson 29. Systems of PDEs
Lesson 30. The Vibrating Drumhead (Wave Equation in Polar Coordinates)
4. Elliptic-Type Problems
Lesson 31. The Laplacian (an intuitive description)
Lesson 32. General Nature of Boundary-Value Problems
Lesson 33. Interior Dirichlet Problem for a Circle
Lesson 34. The Dirichlet Problem in an Annulus
Lesson 35. Laplace's Equation in Spherical Coordinates (Spherical Harmonics)
Lesson 36. A Nonhomogeneous Dirichlet Problem (Green's Functions)
5. Numerical and Approximate Methods
Lesson 37. Numerical Solutions (Elliptic Problems)
Lesson 38. An Explicit Finite-Difference Method
Lesson 39. An Implicit Finite-Difference Method (Crank-Nicolson Method)
Lesson 40. Analytic versus Numerical Solutions
Lesson 41. Classification of PDEs (Parabolic and Elliptic Equations)
Lesson 42. Monte Carlo Methods (An Introduction)
Lesson 43. Monte Carlo Solutions of Partial Differential Equations)
Lesson 44. Calculus of Variations (Euler-Lagrange Equations)
Lesson 45. Variational Methods for Solving PDEs (Method of Ritz)
Lesson 46. Perturbation method for Solving PDEs
Lesson 47. Conformal-Mapping Solution of PDEs
Answers to Selected Problems Appendix 1. Integral Transform Tables Appendix 2. PDE Crossword Puzzle Appendix 3. Laplacian in Different Coordinate Systems Appendix 4. Types of Partial Differential Equations
Index
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