ORDINARY AND PARTIAL DIFFERENTIAL EQUATIONS: THEORY AND APPLICATIONS, Edition 2
Jan 2015 · PHI Learning Pvt. Ltd.
4.0star
11 reviews
Ebook
528
Pages
About this ebook
This revised and updated text, now in its second edition, continues to present the theoretical concepts of methods of solutions of ordinary and partial differential equations. It equips students with the various tools and techniques to model different physical problems using such equations. The book discusses the basic concepts of ordinary and partial differential equations. It contains different methods of solving ordinary differential equations of first order and higher degree. It gives the solution methodology for linear differential equations with constant and variable coefficients and linear differential equations of second order. The text elaborates simultaneous linear differential equations, total differential equations, and partial differential equations along with the series solution of second order linear differential equations. It also covers Bessel’s and Legendre’s equations and functions, and the Laplace transform. Finally, the book revisits partial differential equations to solve the Laplace equation, wave equation and diffusion equation, and discusses the methods to solve partial differential equations using the Fourier transform. A large number of solved examples as well as exercises at the end of chapters help the students comprehend and strengthen the underlying concepts. The book is intended for undergraduate and postgraduate students of Mathematics (B.A./B.Sc., M.A./M.Sc.), and undergraduate students of all branches of engineering (B.E./B.Tech.), as part of their course in Engineering Mathematics. New to the SECOND Edition • Includes new sections and subsections such as applications of differential equations, special substitution (Lagrange and Riccati), solutions of non-linear equations which are exact, method of variation of parameters for linear equations of order higher than two, and method of undetermined coefficients • Incorporates several worked-out examples and exercises with their answers • Contains a new Chapter 19 on ‘Z-Transforms and its Applications’.
Ratings and reviews
4.0
11 reviews
A Google user
- Flag inappropriate
November 20, 2016
Good book
3 people found this review helpful
Zoramthar Bariam
- Flag inappropriate
August 29, 2023
very good
A Google user
- Flag inappropriate
- Show review history
November 28, 2018
Bakwas
About the author
Nita H. Shah, Ph.D., is Professor in the Department of Mathematics, Gujarat University. She is a post-doctoral visiting fellow of University of New Brunswick, Canada, and visits many universities for research oriented programmes. Dr. Shah has published over 250 research articles in various national and international journals.
Rate this ebook
Tell us what you think.
Reading information
Smartphones and tablets
Install the Google Play Books app for Android and iPad/iPhone. It syncs automatically with your account and allows you to read online or offline wherever you are.
Laptops and computers
You can listen to audiobooks purchased on Google Play using your computer's web browser.
eReaders and other devices
To read on e-ink devices like Kobo eReaders, you'll need to download a file and transfer it to your device. Follow the detailed Help Center instructions to transfer the files to supported eReaders.
