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In Chapter-14 we have indicated that partial differential equations arise in the study of fluid mechanics, heat transfer, electromagnetic theory, quantum mechanics and other areas of physics and engineering. In fact, the areas of applications of partial differential equations is too large compared to ordinary differential equations. This book is a product of the experience of the authors in teaching partial differential equations to students of mathematics, physics, and engineering over a period of 20 years. Our goal in writing it has been to introduce the subject with precise and rigorous analysis on the one hand, and interesting and significant applications on the other.

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