Differential Equations with Boundary Value Problems
| Author | : | |
| Rating | : | 4.84 (821 Votes) |
| Asin | : | 0130159271 |
| Format Type | : | paperback |
| Number of Pages | : | 635 Pages |
| Publish Date | : | 2015-09-14 |
| Language | : | English |
DESCRIPTION:
This book provides readers with a solid introduction to differential equations and their applications emphasizing analytical, qualitative, and numerical methods. Systems and the phase plane are also introduced early, first in the context of pairs first-order equations, and then in the context of second-order linear equations. Other chapter topics include the Laplace transform, linear first-order systems, geometry of autonomous systems in the plane, nonlinear systems in applications, diffusion problems and Fourier series, and further topics in PDEs.. Numerical methods are presented early in the text, including a discussion of error estimates for the Euler, Heun, and Runge-Kutta methods
Numerical methods are presented early in the text, including a discussion of error estimates for the Euler, Heun, and Runge-Kutta methods. From the Back Cover This book provides readers with a solid introduction to differential equations and their applications emphasizing analytical, qualitative, and numerical methods. Other chapter topics include the Laplace transform, linear first-order systems, geometry of autonomous systems in the plane, nonlinear systems in applications, diffusion problems and Fourier series, and further topics in PDEs. Systems and the phase plane are also introduced early, first in the context of pairs
Floris Brownstone said Extraordinary Introduction to DE. Dr. Hollis here gives us a book that explains, in plain terms, the very esoteric subject of differential equations.The subject should not be esoteric. The limit is encountered in every man's life. Here, we finally see it in action. This is the author's forte. He knows his subject completely.Hollis has a simple, yet very adventurous plan: Mathematics without appeal to the physical world can not appeal to the average man. In this, he succeeds beyond all expectations.The Mathematica examples are astounding. Have you ever seen a ticking watch flick, or wondered about the bright moon sailing across the sky, or watch