Böcker av Birendra Nath Mandal

This comprehensive textbook on linear integral equations and integral transforms is aimed at senior undergraduate and graduate students of mathematics and physics. The book covers a range of topics including Volterra and Fredholm integral equations, the second kind of integral equations with symmetric kernels, eigenvalues and eigen functions, the Hilbert¿Schmidt theorem, and the solution of Abel integral equations by using an elementary method. In addition, the book covers various integral transforms including Fourier, Laplace, Mellin, Hankel, and Z-transforms. One of the unique features of the book is a general method for the construction of various integral transforms and their inverses, which is based on the properties of delta function representation in terms of Green¿s function of a Sturm¿Liouville type ordinary differential equation and its applications to physical problems. The book is divided into two parts: integral equations and integral transforms.Each chapter is supplemented with numerous illustrative examples to aid in understanding. The clear and concise presentation of the topics covered makes this book an ideal resource for students, researchers, and professionals interested in the theory and application of linear integral equations and integral transforms.

The theory of water waves constitutes an important branch of applied mathematics, and due to its vast applicability in ocean related activities, it is also an important branch of engineering. This book describes a number of classes of wave scattering problems involving obstacles of various geometrical shapes, surface discontinuities, variab

The theory of water waves constitutes an important branch of applied mathematics, and due to its vast applicability in ocean related activities, it is also an important branch of engineering. This book describes a number of classes of wave scattering problems involving obstacles of various geometrical shapes, surface discontinuities, variable bottom topography, and more. The book presents an up-to-date account of mathematical developments in water wave scattering. It covers mathematical modeling of breakwaters used in protecting ports and marinas.