How to Download Integral Equation by Shanti Swarup PDF for Free
Integral Equation by Shanti Swarup is a classic textbook on the theory and applications of integral equations. It covers topics such as linear and nonlinear integral equations, Fredholm and Volterra equations, singular integral equations, integral transforms, Green's functions, boundary value problems, and numerical methods. The book is suitable for undergraduate and postgraduate students of mathematics, physics, and engineering.
If you are looking for a free PDF version of this book, you may be disappointed to know that there is no legal way to download it online. The book is protected by copyright laws and the author has not authorized any free distribution of his work. However, there are some alternative ways to access the book without paying any money.
One option is to borrow the book from a library or a friend who owns a copy. You can then scan or photocopy the pages you need for your personal use. This is allowed under fair use doctrine as long as you do not distribute or sell the copies.
Another option is to search for online resources that provide similar content as the book. For example, you can find lecture notes, slides, videos, and articles on integral equations from various websites and platforms. Some of these resources are listed below:
Lecture Notes on Integral Equations by Jianxin Zhou
Video Lectures on Integral Equations by IIT Kharagpur
Course Notes on Integral Equations by David Wilkins
Articles on Integral Equations from ScienceDirect
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Integral equations have many applications in various fields of science and engineering. Some of the areas where integral equations are used are:
Electromagnetic theory: Integral equations are used to solve problems involving electric and magnetic fields, such as scattering, diffraction, antenna analysis, and wave propagation.
Potential theory: Integral equations are used to solve problems involving harmonic and subharmonic functions, such as Laplace's equation, Poisson's equation, and Dirichlet's problem.
Fluid mechanics: Integral equations are used to model the flow of viscous and inviscid fluids, such as Stokes' flow, Oseen's flow, and boundary layer theory.
Fracture mechanics: Integral equations are used to study the propagation of cracks and fractures in elastic and plastic materials, such as stress intensity factors, J-integral, and crack opening displacement.
Biomathematics: Integral equations are used to model various biological phenomena, such as population dynamics, enzyme kinetics, immunology, and epidemiology.
Integral equations are also related to other branches of mathematics, such as differential equations, functional analysis, operator theory, and numerical analysis. Some of the techniques that are used to study integral equations are:
Integral transforms: Integral transforms are used to convert integral equations into algebraic or differential equations, which are easier to solve. Some of the common integral transforms are Fourier transform, Laplace transform, Mellin transform, and Hankel transform.
Variational methods: Variational methods are used to find approximate solutions of integral equations by minimizing or maximizing a functional that depends on the unknown function. Some of the common variational methods are Rayleigh-Ritz method, Galerkin method, and least squares method.
Numerical methods: Numerical methods are used to find numerical solutions of integral equations by discretizing the unknown function or the domain of integration. Some of the common numerical methods are quadrature methods, collocation methods, and finite element methods. 061ffe29dd