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Partial Differential Equations
An Introduction



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ISBN 9780367613228
December 29, 2020 Forthcoming by CRC Press
112 Pages 2 B/W Illustrations

 
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Book Description

Differential equations play a noticeable role in engineering, physics, economics and other disciplines. They permits us to model changing forms in both mathematical and physical problems. These equations are precisely used when a deterministic relation containing some continuously varying quantities and their rates of change in space and/or time is recognized or postulated.

This book is intended to provide a straightforward introduction to the concept of partial differential equations. It provides a diversity of numerical examples framed to nurture the intellectual level of scholars. It includes enough examples to provide students with a clear concept, and also offers short questions for reader comprehension. Construction of real-life problems are considered in the last chapter along with applications.

Research scholars and students working in the fields of engineering, physics, and different branches of mathematics need to learn the concepts of partial differential equations to solve their problems This book will serve their needs instead of having to use the more complex books that contain more concepts then needed.

Table of Contents

1. Introduction of Partial Differential Equations. 2. First Order Partial Differential Equations. 3. Second and Higher Order Linear Partial Differential Equations. 4. Application of Partial Differential Equations.

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Author(s)

Biography

Prof. Nita received her PhD in Statistics from Gujarat University in 1994. From February 1990 till now Prof. Nita is HOD of Department of Mathematics in Gujarat University, India. She is post-doctoral visiting research fellow of University of New Brunswick, Canada. Prof. Nita's research interests include inventory modeling in supply chain, robotic modeling, Mathematical modeling of infectious diseases, image processing, Dynamical systems and its applications etc. Prof. Nita has published 13 monograph, 5 textbooks, and 475+ peer-reviewed research papers. Four edited books are prepared for IGI-global and springer with coeditor as Dr. Mandeep Mittal. Her papers are published in high impact Elsevier, Inderscience and Taylor and Francis journals. She is author of 14 books. By the Google scholar, the total number of citations is over 2919 and the maximum number of citation for a single paper is over 174. The H-index is 24 up to March 2020 and i-10 index is 73. She has guided 28 Ph. D. Students and 15 M.Phil. Students till now. Seven students are pursuing research for their Ph. D. degree. She has travelled in USA, Singapore, Canada, South Africa, Malaysia, and Indonesia for giving talks. She is Vice-President of Operational Research Society of India. She is council member of Indian Mathematical Society.

Dr. Mrudul Y. Jani is an Associate Professor in the Department of Applied Sciences and Humanities, PIET, Faculty of Engineering and Technology at Parul University, Vadodara, Gujarat, India. He has 11+ years of teaching experience. He has 5+ years of research experience in the fields of inventory management. His research interests are in the fields of inventory management under deterioration and different demand structures. His 25+ articles and book chapters have been published in International Journals like TOP-Springer, Revista Investigacion Operacional, JOBARI, IJIEC, Taylor and Francis, Springer, IGI Global, Growing Sciences, IJOQM, AMSE, IJSCM, IJBPSCM, OSCM, IJLSM, TWMS, IJMOR, etc. He has written one book for international publication also.