Rao K.S. Introduction to Partial Differential Equations

3rd ed. — New Delhi: PHI Learning, 2011. — 499 p. — ISBN: 978-8120342224.The objective of this third edition is the same as in previous two editions: to provide a broad coverage of various mathematical techniques that are widely used for solving and to get analytical solutions to Partial Differential Equations of first and second order, which occur in science and engineering. In fact, while writing this book, I have been guided by a simple teaching philosophy:
An ideal textbook should teach the students to solve problems. This book contains hundreds of carefully chosen worked-out examples, which introduce and clarify every new concept. The core material presented in the second edition remains unchanged.
I have updated the previous edition by adding new material as suggested by my active colleagues, friends and students.
Chapter 1 has been updated by adding new sections on both homogeneous and nonhomogeneous linear PDEs, with constant coefficients, while Chapter 2 has been repeated as such with the only addition that a solution to Helmholtz equation using variables separable method is discussed in detail.
In Chapter 3, few models of non-linear PDEs have been introduced. In particular, the exactsolution of the IVP for non-linear Burger’s equation is obtained using Cole–Hopf function.
Chapter 4 has been updated with additional comments and explanations, for better understanding of normal modes of vibrations of a stretched string.
Chapters 5–7 remain unchanged.