Ordinary Differential Equations with Modern Applications
Author : N. Finizio
Publisher : Brooks/Cole
Page : 460 pages
File Size : 36,15 MB
Release : 1989
Category : Mathematics
ISBN :
Ordinary Differential Equations with Applications
Author : Carmen Chicone
Publisher : Springer Science & Business Media
Page : 569 pages
File Size : 41,10 MB
Release : 2008-04-08
Category : Mathematics
ISBN : 0387226230
Book Description
Based on a one-year course taught by the author to graduates at the University of Missouri, this book provides a student-friendly account of some of the standard topics encountered in an introductory course of ordinary differential equations. In a second semester, these ideas can be expanded by introducing more advanced concepts and applications. A central theme in the book is the use of Implicit Function Theorem, while the latter sections of the book introduce the basic ideas of perturbation theory as applications of this Theorem. The book also contains material differing from standard treatments, for example, the Fiber Contraction Principle is used to prove the smoothness of functions that are obtained as fixed points of contractions. The ideas introduced in this section can be extended to infinite dimensions.
Differential Equations and Their Applications
Author : M. Braun
Publisher : Springer Science & Business Media
Page : 733 pages
File Size : 31,49 MB
Release : 2013-06-29
Category : Mathematics
ISBN : 1475749694
Book Description
For the past several years the Division of Applied Mathematics at Brown University has been teaching an extremely popular sophomore level differential equations course. The immense success of this course is due primarily to two fac tors. First, and foremost, the material is presented in a manner which is rigorous enough for our mathematics and ap plied mathematics majors, but yet intuitive and practical enough for our engineering, biology, economics, physics and geology majors. Secondly, numerous case histories are given of how researchers have used differential equations to solve real life problems. This book is the outgrowth of this course. It is a rigorous treatment of differential equations and their appli cations, and can be understood by anyone who has had a two semester course in Calculus. It contains all the material usually covered in a one or two semester course in differen tial equations. In addition, it possesses the following unique features which distinguish it from other textbooks on differential equations.
Differential Equations
Author : Shepley L. Ross
Publisher : John Wiley & Sons
Page : 736 pages
File Size : 18,73 MB
Release : 1974
Category : Mathematics
ISBN :
Book Description
Fundamental methods and applications; Fundamental theory and further methods;
Modern Elementary Differential Equations
Author : Richard Bellman
Publisher : Courier Corporation
Page : 260 pages
File Size : 38,82 MB
Release : 1995-01-01
Category : Mathematics
ISBN : 9780486686431
Book Description
Designed to introduce students to the theory and applications of differential equations and to help them formulate scientific problems in terms of such equations, this undergraduate-level text emphasizes applications to problems in biology, economics, engineering, and physics. This edition also includes material on discontinuous solutions, Riccati and Euler equations, and linear difference equations.
Ordinary Differential Equations and Applications
Author : W S Weiglhofer
Publisher : Elsevier
Page : 228 pages
File Size : 45,38 MB
Release : 1999-06-01
Category : Mathematics
ISBN : 0857099736
Book Description
This introductory text presents ordinary differential equations with a modern approach to mathematical modelling in a one semester module of 20–25 lectures. - Presents ordinary differential equations with a modern approach to mathematical modelling - Discusses linear differential equations of second order, miscellaneous solution techniques, oscillatory motion and laplace transform, among other topics - Includes self-study projects and extended tutorial solutions
Differential Equations: Theory and Applications
Author : David Betounes
Publisher : Springer Science & Business Media
Page : 686 pages
File Size : 43,69 MB
Release : 2013-06-29
Category : Mathematics
ISBN : 1475749716
Book Description
This book provides a comprehensive introduction to the theory of ordinary differential equations with a focus on mechanics and dynamical systems as important applications of the theory. The text is written to be used in the traditional way or in a more applied way. The accompanying CD contains Maple worksheets for the exercises, and special Maple code for performing various tasks. In addition to its use in a traditional one or two semester graduate course in mathematics, the book is organized to be used for interdisciplinary courses in applied mathematics, physics, and engineering.
Introduction to Partial Differential Equations with Applications
Author : E. C. Zachmanoglou
Publisher : Courier Corporation
Page : 434 pages
File Size : 18,57 MB
Release : 2012-04-20
Category : Mathematics
ISBN : 048613217X
Book Description
This text explores the essentials of partial differential equations as applied to engineering and the physical sciences. Discusses ordinary differential equations, integral curves and surfaces of vector fields, the Cauchy-Kovalevsky theory, more. Problems and answers.
The Qualitative Theory of Ordinary Differential Equations
Author : Fred Brauer
Publisher : Courier Corporation
Page : 325 pages
File Size : 31,61 MB
Release : 2012-12-11
Category : Mathematics
ISBN : 0486151514
Book Description
Superb, self-contained graduate-level text covers standard theorems concerning linear systems, existence and uniqueness of solutions, and dependence on parameters. Focuses on stability theory and its applications to oscillation phenomena, self-excited oscillations, more. Includes exercises.
Differential Equations and Applications in Ecology, Epidemics, and Population Problems
Author : Stavros Busenberg
Publisher : Elsevier
Page : 376 pages
File Size : 26,25 MB
Release : 2012-12-02
Category : Science
ISBN : 0323153429
Book Description
Differential Equations and Applications in Ecology, Epidemics, and Population Problems is composed of papers and abstracts presented at the 1981 research conference on Differential Equations and Applications to Ecology, Epidemics, and Population Problems held at Harvey Mudd College. The reported researches consist of mathematics that is either a direct outgrowth from questions in population biology and biomathematics, or applicable to such questions. The content of this volume are collected in four groups. The first group addresses aspects of population dynamics that involve the interaction between spatial and temporal effects. The second group covers other questions in population dynamics and some other areas of biomathematics. The third group deals with topics in differential and functional differential equations that are continuing to find important applications in mathematical biology. The last group comprises of work on various aspects of differential equations and dynamical systems, not essentially motivated by biological applications. This book is valuable to students and researchers in theoretical biology and biomathematics, as well as to those interested in modern applications of differential equations.
