Ordinary Differential Equations with Modern Applications
Author : N. Finizio
Publisher : Brooks/Cole
Page : 460 pages
File Size : 45,95 MB
Release : 1989
Category : Mathematics
ISBN :
Author : N. Finizio
Publisher : Brooks/Cole
Page : 460 pages
File Size : 45,95 MB
Release : 1989
Category : Mathematics
ISBN :
Author : Carmen Chicone
Publisher : Springer Science & Business Media
Page : 569 pages
File Size : 36,48 MB
Release : 2008-04-08
Category : Mathematics
ISBN : 0387226230
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.
Author : N. Finizio
Publisher :
Page : 497 pages
File Size : 25,74 MB
Release : 1989
Category : Differential equations
ISBN :
Author : Richard Bellman
Publisher : Courier Corporation
Page : 260 pages
File Size : 19,73 MB
Release : 1995-01-01
Category : Mathematics
ISBN : 9780486686431
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.
Author : Stavros Busenberg
Publisher : Elsevier
Page : 376 pages
File Size : 36,16 MB
Release : 2012-12-02
Category : Science
ISBN : 0323153429
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.
Author : Carmen Chicone
Publisher : Springer Science & Business Media
Page : 569 pages
File Size : 27,46 MB
Release : 1999
Category : Mathematics
ISBN : 0387985352
This graduate-level textbook offers students a rapid introduction to the language of ordinary differential equations followed by a careful treatment of the central topics of the qualitative theory. In addition, special attention is given to the origins and applications of differential equations in physical science and engineering.
Author : David Betounes
Publisher : Springer Science & Business Media
Page : 702 pages
File Size : 13,31 MB
Release : 2001
Category : Differential equations
ISBN : 9780387951409
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.
Author : M. Braun
Publisher : Springer Science & Business Media
Page : 733 pages
File Size : 11,13 MB
Release : 2013-06-29
Category : Mathematics
ISBN : 1475749694
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.
Author : Barbara D. MacCluer
Publisher : American Mathematical Soc.
Page : 874 pages
File Size : 40,78 MB
Release : 2019-10-02
Category : Differential equations
ISBN : 1470447975
Differential Equations: Techniques, Theory, and Applications is designed for a modern first course in differential equations either one or two semesters in length. The organization of the book interweaves the three components in the subtitle, with each building on and supporting the others. Techniques include not just computational methods for producing solutions to differential equations, but also qualitative methods for extracting conceptual information about differential equations and the systems modeled by them. Theory is developed as a means of organizing, understanding, and codifying general principles. Applications show the usefulness of the subject as a whole and heighten interest in both solution techniques and theory. Formal proofs are included in cases where they enhance core understanding; otherwise, they are replaced by informal justifications containing key ideas of a proof in a more conversational format. Applications are drawn from a wide variety of fields: those in physical science and engineering are prominent, of course, but models from biology, medicine, ecology, economics, and sports are also featured. The 1,400+ exercises are especially compelling. They range from routine calculations to large-scale projects. The more difficult problems, both theoretical and applied, are typically presented in manageable steps. The hundreds of meticulously detailed modeling problems were deliberately designed along pedagogical principles found especially effective in the MAA study Characteristics of Successful Calculus Programs, namely, that asking students to work problems that require them to grapple with concepts (or even proofs) and do modeling activities is key to successful student experiences and retention in STEM programs. The exposition itself is exceptionally readable, rigorous yet conversational. Students will find it inviting and approachable. The text supports many different styles of pedagogy from traditional lecture to a flipped classroom model. The availability of a computer algebra system is not assumed, but there are many opportunities to incorporate the use of one.
Author : W S Weiglhofer
Publisher : Elsevier
Page : 228 pages
File Size : 41,95 MB
Release : 1999-06-01
Category : Mathematics
ISBN : 0857099736
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