Introduction To Partial Differential Equations By Sankara Rao Free

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This book covers the theory of harmonic functions and the related topics such as the boundary conditions of partial differential equations. The first part of the book deals with the theory of harmonic functions and transforms. Also included is the corresponding theory of Green's functions, which are an important tool in problems involving harmonic functions. The second part describes the concept of solution of a partial differential equation and the corresponding boundary conditions. The third part describes the partial differential equation concepts related to the fundamental tools in PDEs, such as Laplace transforms and Green functions. The fourth part contains many worked-out examples.

This comprehensive and well-organized book, now in its Third Edition, continues to provide the students with the fundamental concepts, the underlying principles, various well-known mathematical techniques and methods such as Laplace and Fourier transform techniques, the variable separable method, and Greens function method to solve partial differential equations.

This comprehensive and well-organized book, now in its Fourth Edition, continues to provide the students with the fundamental concepts, the underlying principles, various well-known mathematical techniques and methods such as Laplace and Fourier transform techniques, the variable separable method, and Greens function method to solve partial differential equations.

In a clear and coherent style, this book has been written with students in mind. The book is organized into five parts, each containing two sections. The first section deals with the basic concepts, including the basic mathematical concepts and certain methods of boundary conditions. The second section introduces the partial differential equations (PDEs), and the methodology of the solutions of PDEs. The third section introduces the classical Fourier transform and the Laplace transform. The fourth section introduces Green's function and its application in solving initial value problems. The final section introduces the variable separable method and its applications in solving boundary value problems. The book contains many detailed worked-out examples throughout.

The book is intended for use in undergraduate, graduate and postgraduate level courses on applied mathematics. It will be an invaluable resource to those who have to solve partial differential equations (PDEs).

The Third Edition of this book continues to provide the students with the fundamental concepts, the underlying principles, various well-known mathematical techniques and methods such as Laplace and Fourier transform techniques, the variable separable method, and Greens function method to solve partial differential equations.

About The Book Introduction To Partial Differential EquationsBook Summary:This comprehensive and well-organized book, now in its Third Edition, continues to provide the students with the fundamental concepts, the underlying principles, various well-known mathematical techniques and methods such as Laplace and Fourier transform techniques, the variable separable method, and Greens function method to solve partial differential equations. 827ec27edc