1 | Definition and classification of linear integral equations | PDF unavailable |
2 | Conversion of IVP into integral equations | PDF unavailable |
3 | Conversion of BVP into an integral equations | PDF unavailable |
4 | Conversion of integral equations into differential equations | PDF unavailable |
5 | Integro-differential equations | PDF unavailable |
6 | Fredholm integral equation with separable kernel: Theory | PDF unavailable |
7 | Fredholm integral equation with separable kernel: Examples | PDF unavailable |
8 | Solution of integral equations by successive substitutions | PDF unavailable |
9 | Solution of integral equations by successive approximations | PDF unavailable |
10 | Solution of integral equations by successive approximations: Resolvent kernel | PDF unavailable |
11 | Fredholm integral equations with symmetric kernels: Properties of eigenvalues and eigenfunctions | PDF unavailable |
12 | Fredholm integral equations with symmetric kernels: Hilbert Schmidt theory | PDF unavailable |
13 | Fredholm integral equations with symmetric kernels: Examples | PDF unavailable |
14 | Construction of Green function-I | PDF unavailable |
15 | Construction of Green function-II | PDF unavailable |
16 | Green function for self adjoint linear differential equations | PDF unavailable |
17 | Green function for non-homogeneous boundary value problem | PDF unavailable |
18 | Fredholm alternative theorem-I | PDF unavailable |
19 | Fredholm alternative theorem-II | PDF unavailable |
20 | Fredholm method of solutions | PDF unavailable |
21 | Classical Fredholm theory: Fredholm first theorem-I | PDF unavailable |
22 | Classical Fredholm theory: Fredholm first theorem-II | PDF unavailable |
23 | Classical Fredholm theory: Fredholm second theorem and third theorem | PDF unavailable |
24 | Method of successive approximations | PDF unavailable |
25 | Neumann series and resolvent kernels-I | PDF unavailable |
26 | Neumann series and resolvent kernels-II | PDF unavailable |
27 | Equations with convolution type kernels-I | PDF unavailable |
28 | Equations with convolution type kernels-II | PDF unavailable |
29 | Singular integral equations-I | PDF unavailable |
30 | Singular integral equations-II | PDF unavailable |
31 | Cauchy type integral equations-I | PDF unavailable |
32 | Cauchy type integral equations-II | PDF unavailable |
33 | Cauchy type integral equations-III | PDF unavailable |
34 | Cauchy type integral equations-IV | PDF unavailable |
35 | Cauchy type integral equations-V | PDF unavailable |
36 | Solution of integral equations using Fourier transform | PDF unavailable |
37 | Solution of integral equations using Hilbert transform-I | PDF unavailable |
38 | Solution of integral equations using Hilbert transform-II | PDF unavailable |
39 | Calculus of variations: Introduction | PDF unavailable |
40 | Calculus of variations: Basic concepts-I | PDF unavailable |
41 | Calculus of variations: Basic concepts-II | PDF unavailable |
42 | Calculus of variations: Basic concepts and Euler equation | PDF unavailable |
43 | Euler equation: Some particular cases | PDF unavailable |
44 | Euler equation : A particular case and Geodesics | PDF unavailable |
45 | Brachistochrone problem and Euler equation-I | PDF unavailable |
46 | Euler's equation-II | PDF unavailable |
47 | Functions of several independent variables | PDF unavailable |
48 | Variational problems in parametric form | PDF unavailable |
49 | Variational problems of general type | PDF unavailable |
50 | Variational derivative and invariance of Euler's equation | PDF unavailable |
51 | Invariance of Euler's equation and isoperimetric problem-I | PDF unavailable |
52 | Isoperimetric problem-II | PDF unavailable |
53 | Variational problem involving a conditional extremum-I | PDF unavailable |
54 | Variational problem involving a conditional extremum-II | PDF unavailable |
55 | Variational problems with moving boundaries-I | PDF unavailable |
56 | Variational problems with moving boundaries-II | PDF unavailable |
57 | Variational problems with moving boundaries-III | PDF unavailable |
58 | Variational problems with moving boundaries; One sided variation | PDF unavailable |
59 | Variational problem with a movable boundary for a functional dependent on two functions | PDF unavailable |
60 | Hamilton's principle: Variational principle of least action | PDF unavailable |