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Ordinary Differential Equations with Applications

2008-04-08 Mathematics
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Release : 2008-04-08
Genre : Mathematics
Kind : eBook
Book Rating : 230/5 ( reviews)

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Book Synopsis Ordinary Differential Equations with Applications by : Carmen Chicone

Download or read book Ordinary Differential Equations with Applications written by Carmen Chicone. This book was released on 2008-04-08. Available in PDF, EPUB and Kindle. Book excerpt: 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

2006 Mathematics
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Release : 2006
Genre : Mathematics
Kind : eBook
Book Rating : 199/5 ( reviews)

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Book Synopsis Ordinary Differential Equations with Applications by : Sze-Bi Hsu

Download or read book Ordinary Differential Equations with Applications written by Sze-Bi Hsu. This book was released on 2006. Available in PDF, EPUB and Kindle. Book excerpt: 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

2013-06-29 Mathematics
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Release : 2013-06-29
Genre : Mathematics
Kind : eBook
Book Rating : 694/5 ( reviews)

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Book Synopsis Differential Equations and Their Applications by : M. Braun

Download or read book Differential Equations and Their Applications written by M. Braun. This book was released on 2013-06-29. Available in PDF, EPUB and Kindle. Book excerpt: 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

2007-06-04 Mathematics
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Release : 2007-06-04
Genre : Mathematics
Kind : eBook
Book Rating : 408/5 ( reviews)

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Book Synopsis Ordinary Differential Equations with Applications to Mechanics by : Mircea Soare

Download or read book Ordinary Differential Equations with Applications to Mechanics written by Mircea Soare. This book was released on 2007-06-04. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Differential Equations with Applications

2000-01-01 Mathematics
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Release : 2000-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 545/5 ( reviews)

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Book Synopsis Differential Equations with Applications by : Paul D. Ritger

Download or read book Differential Equations with Applications written by Paul D. Ritger. This book was released on 2000-01-01. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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