Mathematical Models Haberman Solution Manual
By Richard Haberman - 1998 / xvii + 402 pages / Softcover / ISBN: 978-0-898714-08-1 / List Price $74.00 / SIAM Member Price $51.80 / Order Code CL21 Before courses in math modeling became de rigueur, Richard Haberman had already demonstrated that mathematical techniques could be unusually effective in understanding elementary mechanical vibrations, population dynamics, and traffic flow, as well as how such intriguing applications could motivate the further study of nonlinear ordinary and partial differential equations. My students and I can attest that this carefully crafted book is perfect for both self-study and classroom use. O'Malley, Jr., University of Washington, from the foreword. Mathematics is a grand subject in the way it can be applied to various problems in science and engineering. To use mathematics, one needs to understand the physical context. The author uses mathematical techniques along with observations and experiments to give an in-depth look at models for mechanical vibrations, population dynamics, and traffic flow.
Mathematical Models Richard Haberman Solution Manual
Equal emphasis is placed on the mathematical formulation of the problem and the interpretation of the results. In the sections on mechanical vibrations and population dynamics, the author emphasizes the nonlinear aspects of ordinary differential equations and develops the concepts of equilibrium solutions and their stability. He introduces phase plane methods for the nonlinear pendulum and for predator-prey and competing species models. Haberman develops the method of characteristics to analyze the nonlinear partial differential equations that describe traffic flow. Fan-shaped characteristics describe the traffic situation that occurs when a traffic light turns green and shock waves describe the effects of a red light or traffic accident. Although it was written over 20 years ago, this book is still relevant.
It is intended as an introduction to applied mathematics, but can be used for undergraduate courses in mathematical modeling or nonlinear dynamical systems or to supplement courses in ordinary or partial differential equations. Audience This book is intended for undergraduate engineering, science, or mathematics students.
It may also be useful for graduate students in various disciplines including ecology and transportation engineering. Contents Foreword; Preface to the Classics Edition; Preface; Part 1: Mechanical Vibrations.
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Haberman Mathematical Models Solution Manual
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