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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.

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.

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.

Introduction to Partial Differential Equations with Applications

2012-04-20 Mathematics
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Release : 2012-04-20
Genre : Mathematics
Kind : eBook
Book Rating : 17X/5 ( reviews)

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Book Synopsis Introduction to Partial Differential Equations with Applications by : E. C. Zachmanoglou

Download or read book Introduction to Partial Differential Equations with Applications written by E. C. Zachmanoglou. This book was released on 2012-04-20. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Elementary Differential Equations with Boundary Value Problems

2001 Mathematics
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Release : 2001
Genre : Mathematics
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Elementary Differential Equations with Boundary Value Problems by : William F. Trench

Download or read book Elementary Differential Equations with Boundary Value Problems written by William F. Trench. This book was released on 2001. Available in PDF, EPUB and Kindle. Book excerpt: Written in a clear and accurate language that students can understand, Trench's new book minimizes the number of explicitly stated theorems and definitions. Instead, he deals with concepts in a conversational style that engages students. He includes more than 250 illustrated, worked examples for easy reading and comprehension. One of the book's many strengths is its problems, which are of consistently high quality. Trench includes a thorough treatment of boundary-value problems and partial differential equations and has organized the book to allow instructors to select the level of technology desired. This has been simplified by using symbols, C and L, to designate the level of technology. C problems call for computations and/or graphics, while L problems are laboratory exercises that require extensive use of technology. Informal advice on the use of technology is included in several sections and instructors who prefer not to emphasize technology can ignore these exercises without interrupting the flow of material.

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