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Ordinary and Partial Differential Equations : With Special Functions, Fourier Series, and Boundary Value Problems
Overview of attention for book
Table of Contents
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Book Overview
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Chapter 1
Solvable Differential Equations
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Chapter 2
Second-Order Differential Equations
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Chapter 3
Preliminaries to Series Solutions
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Chapter 4
Solution at an Ordinary Point
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Chapter 5
Solution at a Singular Point
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Chapter 6
Solution at a Singular Point (Cont’d.)
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Chapter 7
Legendre Polynomials and Functions
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Chapter 8
Chebyshev, Hermite and Laguerre Polynomials
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Chapter 9
Bessel Functions
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Chapter 10
Hypergeometric Functions
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Chapter 11
Piecewise Continuous and Periodic Functions
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Chapter 12
Orthogonal Functions and Polynomials
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Chapter 13
Orthogonal Functions and Polynomials (Cont’d.)
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Chapter 14
Boundary Value Problems
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Chapter 15
Boundary Value Problems (Cont’d.)
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Chapter 16
Green’s Functions
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Chapter 17
Regular Perturbations
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Chapter 18
Singular Perturbations
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Chapter 19
Sturm–Liouville Problems
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Chapter 20
Eigenfunction Expansions
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Chapter 21
Eigenfunction Expansions (Cont’d.)
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Chapter 22
Convergence of the Fourier Series
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Chapter 23
Convergence of the Fourier Series (Cont’d.)
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Chapter 24
Fourier Series Solutions of Ordinary Differential Equations
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Chapter 25
Partial Differential Equations
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Chapter 26
First-Order Partial Differential Equations
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Chapter 27
Solvable Partial Differential Equations
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Chapter 28
The Canonical Forms
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Chapter 29
The Method of Separation of Variables
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Chapter 30
The One-Dimensional Heat Equation
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Chapter 31
The One-Dimensional Heat Equation (Cont’d.)
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Chapter 32
The One-Dimensional Wave Equation
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Chapter 33
The One-Dimensional Wave Equation (Cont’d.)
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Chapter 34
Laplace Equation in Two Dimensions
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Chapter 35
Laplace Equation in Polar Coordinates
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Chapter 36
Two-Dimensional Heat Equation
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Chapter 37
Two-Dimensional Wave Equation
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Chapter 38
Laplace Equation in Three Dimensions
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Chapter 39
Laplace Equation in Three Dimensions (Cont’d.)
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Chapter 40
Nonhomogeneous Equations
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Chapter 41
Fourier Integral and Transforms
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Chapter 42
Fourier Integral and Transforms (Cont’d.)
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Chapter 43
Fourier Transform Method for Partial DEs
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Chapter 44
Fourier Transform Method for Partial DEs (Cont’d.)
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Chapter 45
Laplace Transforms
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Chapter 46
Laplace Transforms (Cont’d.)
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Chapter 47
Laplace Transform Method for Ordinary DEs
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Chapter 48
Laplace Transform Method for Partial DEs
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Chapter 49
Well-Posed Problems
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Chapter 50
Verification of Solutions
Overall attention for this book and its chapters
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Mentioned by
syllabi
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institution with syllabi
wikipedia
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Wikipedia page
Readers on
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Mendeley
Book overview
1. Solvable Differential Equations
2. Second-Order Differential Equations
3. Preliminaries to Series Solutions
4. Solution at an Ordinary Point
5. Solution at a Singular Point
6. Solution at a Singular Point (Cont’d.)
7. Legendre Polynomials and Functions
8. Chebyshev, Hermite and Laguerre Polynomials
9. Bessel Functions
10. Hypergeometric Functions
11. Piecewise Continuous and Periodic Functions
12. Orthogonal Functions and Polynomials
13. Orthogonal Functions and Polynomials (Cont’d.)
14. Boundary Value Problems
15. Boundary Value Problems (Cont’d.)
16. Green’s Functions
17. Regular Perturbations
18. Singular Perturbations
19. Sturm–Liouville Problems
20. Eigenfunction Expansions
21. Eigenfunction Expansions (Cont’d.)
22. Convergence of the Fourier Series
23. Convergence of the Fourier Series (Cont’d.)
24. Fourier Series Solutions of Ordinary Differential Equations
25. Partial Differential Equations
26. First-Order Partial Differential Equations
27. Solvable Partial Differential Equations
28. The Canonical Forms
29. The Method of Separation of Variables
30. The One-Dimensional Heat Equation
31. The One-Dimensional Heat Equation (Cont’d.)
32. The One-Dimensional Wave Equation
33. The One-Dimensional Wave Equation (Cont’d.)
34. Laplace Equation in Two Dimensions
35. Laplace Equation in Polar Coordinates
36. Two-Dimensional Heat Equation
37. Two-Dimensional Wave Equation
38. Laplace Equation in Three Dimensions
39. Laplace Equation in Three Dimensions (Cont’d.)
40. Nonhomogeneous Equations
41. Fourier Integral and Transforms
42. Fourier Integral and Transforms (Cont’d.)
43. Fourier Transform Method for Partial DEs
44. Fourier Transform Method for Partial DEs (Cont’d.)
45. Laplace Transforms
46. Laplace Transforms (Cont’d.)
47. Laplace Transform Method for Ordinary DEs
48. Laplace Transform Method for Partial DEs
49. Well-Posed Problems
50. Verification of Solutions
Summary
Syllabi
Wikipedia
This data is correct as of December 2015 - for more up to date information, please visit
https://opensyllabus.org/
So far, Altmetric has seen this research output assigned in
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syllabus from an institution on Open Syllabus Project.
Institution
Syllabi count
Course subject areas covered
University of Surrey
1
Unknown