Ordinary Differential Equations by Paul Duchateau

Ordinary Differential Equations by Paul Duchateau

The first two chapters of this book have been thoroughly revised and sig- nificantly expanded. Sections have been added on elementary methods of in- tegration (on homogeneous and inhomogeneous first-order linear equations and on homogeneous and quasi-homogeneous equations), on first-order linear and quasi-linear partial differential equations, on equations not solved for the derivative, and on Sturm's theorems on the zeros of second-order linear equa- tions. Thus the new edition contains all the questions of the current syllabus in the theory of ordinary differential equations. In discussing special devices for integration the author has tried through- out to lay bare the geometric essence of the methods being studied and to show how these methods work in applications, especially in mechanics. Thus to solve an inhomogeneous linear equation we introduce the delta-function and calculate the retarded Green's function; quasi-homogeneous equations lead to the theory of similarity and the law of universal gravitation, while the theorem on differentiability of the solution with respect to the initial conditions leads to the study of the relative motion of celestial bodies in neighboring orbits. The author has permitted himself to include some historical digressions in this preface. Differential equations were invented by Newton (1642-1727).

DuChateau, Paul: - Paul DuChateau, Ph.D. is currently Professor of Mathematics at Colorado State University in Fort Collins, Colorado. He received his B.Sc. in engineering science and his Ph.D. in mathematics at Purdue University in 1962 and 1970 respectively. In addition to teaching, he has worked as an applied mathematician for General Motors and United Aircraft corporations and has held visiting positions at Argonne National laboratory. He has received government funding for research in applied mathematics and has published extensively in the area of partial differential equations.

David W. Zachmann, Ph.D. is Professor of Mathematics at Colorado State University. He received his Ph.D. in applied mathematics from the University of Arizona in 1970 and his B.S. in mathematics from Colorado State University in 1965. During 1983 he was a visiting senior research scientist at the CSIRO Environmental Mechanics Division in Canberra, Australia. His research in applied mathematics has been supported by various government agencies. In addition to his teaching and research activities, he frequently serves as a consultant to industry and government.

SKU	Unavailable
ISBN 13	9780064671330
ISBN 10	006467133X
Title	Ordinary Differential Equations
Author	Paul Duchateau
Series	Outline S
Condition	Unavailable
Binding Type	Paperback
Publisher	Longman
Year published	1992-02-03
Number of pages	224
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.