# Introduction to Partial Differential Equations

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 Green's function method to solve partial differential equations. Les mer
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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 Green's function method to solve partial differential equations. The text is supported by a number of worked-out examples and miscellaneous examples to enable the students to assimilate the fundamental concepts and the techniques for solving partial differential equations with various initial and boundary conditions. Besides, chapter-end exercises are also provided with hints to reinforce the students' skill. It is designed primarily to serve as a textbook for senior undergraduate and postgraduate students pursuing courses in applied mathematics, physics and engineering. Students appearing in various competitive examinations like NET, GATE, and the professionals working in scientific R&D organizations would also find this book both stimulating and highly useful. What is new to this edition ?
Adds new sections on linear partial differential equations with constant coefficients and non-linear model equations. Offers additional worked-out examples and exercises to illustrate the concepts discussed.

CONTENTS; Preface; Preface to the Second Edition; 0. PARTIAL DIFFERENTIAL EQUATIONS OF FIRST ORDER; 1. FUNDAMENTAL CONCEPTS; 2. ELLIPTIC DIFFERENTIAL EQUATIONS; 3. PARABOLIC DIFFERENTIAL EQUATIONS; 4. HYPERBOLIC DIFFERENTIAL EQUATIONS; 5. GREEN'S FUNCTION; 6. LAPLACE TRANSFORM METHODS; 7. FOURIER TRANSFORM METHODS; Bibliography; Answers and Keys to Exercises; Index.

K. Sankara Rao, Ph.D., formerly Professor of Mathematics, Anna University, Chennai. He has also served as Scientist/Engineer at Tata Institute of Fundamental Research, Bombay and Vikram Sarabhai Space Centre, Trivandrum. He has to his credit several research papers, published in national and international journals.