Ordinary Differential Equations with Applications
Ordinary Differential Equations with Applications

Author: Carmen Chicone

Publisher: Springer Science & Business Media

Published: 2008-04-08

Total Pages: 569

ISBN-13: 0387226230

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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.

Ordinary Differential Equations with Applications
Ordinary Differential Equations with Applications

Author: Sze-Bi Hsu

Publisher: World Scientific

Published: 2006

Total Pages: 258

ISBN-13: 9812563199

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During the past three decades, the development of nonlinear analysis, dynamical systems and their applications to science and engineering has stimulated renewed enthusiasm for the theory of Ordinary Differential Equations (ODE).This useful book, which is based around the lecture notes of a well-received graduate course, emphasizes both theory and applications, taking numerous examples from physics and biology to illustrate the application of ODE theory and techniques.Written in a straightforward and easily accessible style, this volume presents dynamical systems in the spirit of nonlinear analysis to readers at a graduate level and serves both as a textbook or as a valuable resource for researchers.

Differential Equations and Their Applications
Differential Equations and Their Applications

Author: M. Braun

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 733

ISBN-13: 1475749694

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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.

Ordinary Differential Equations with Applications to Mechanics
Ordinary Differential Equations with Applications to Mechanics

Author: Mircea Soare

Publisher: Springer Science & Business Media

Published: 2007-06-04

Total Pages: 497

ISBN-13: 1402054408

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This interdisciplinary work creates a bridge between the mathematical and the technical disciplines by providing a strong mathematical tool. The present book is a new, English edition of the volume published in 1999. It contains many improvements, as well as new topics, using enlarged and updated references. Only ordinary differential equations and their solutions in an analytical frame were considered, leaving aside their numerical approach.

Introduction to Partial Differential Equations with Applications
Introduction to Partial Differential Equations with Applications

Author: E. C. Zachmanoglou

Publisher: Courier Corporation

Published: 2012-04-20

Total Pages: 434

ISBN-13: 048613217X

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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.

Differential Equations with Applications
Differential Equations with Applications

Author: Paul D. Ritger

Publisher: Courier Corporation

Published: 2000-01-01

Total Pages: 580

ISBN-13: 9780486411545

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Coherent, balanced introductory text focuses on initial- and boundary-value problems, general properties of linear equations, and the differences between linear and nonlinear systems. Includes large number of illustrative examples worked out in detail and extensive sets of problems. Answers or hints to most problems appear at end.

Differential Equations: Methods and Applications
Differential Equations: Methods and Applications

Author: Belkacem Said-Houari

Publisher: Springer

Published: 2016-01-11

Total Pages: 219

ISBN-13: 3319257358

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This book presents a variety of techniques for solving ordinary differential equations analytically and features a wealth of examples. Focusing on the modeling of real-world phenomena, it begins with a basic introduction to differential equations, followed by linear and nonlinear first order equations and a detailed treatment of the second order linear equations. After presenting solution methods for the Laplace transform and power series, it lastly presents systems of equations and offers an introduction to the stability theory.To help readers practice the theory covered, two types of exercises are provided: those that illustrate the general theory, and others designed to expand on the text material. Detailed solutions to all the exercises are included.The book is excellently suited for use as a textbook for an undergraduate class (of all disciplines) in ordinary differential equations.

An Introduction to Differential Equations and Their Applications
An Introduction to Differential Equations and Their Applications

Author: Stanley J. Farlow

Publisher: Courier Corporation

Published: 2012-10-23

Total Pages: 642

ISBN-13: 0486135136

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This introductory text explores 1st- and 2nd-order differential equations, series solutions, the Laplace transform, difference equations, much more. Numerous figures, problems with solutions, notes. 1994 edition. Includes 268 figures and 23 tables.