Ordinary Differential Equations With Constant Coefficient

Author : Jiri Lebl
Publisher : Unknown
Page : 468 pages
File Size : 54,6 Mb
Release : 2019-11-13
Category : Electronic
ISBN : 1706230230

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Notes on Diffy Qs by Jiri Lebl Pdf

Version 6.0. An introductory course on differential equations aimed at engineers. The book covers first order ODEs, higher order linear ODEs, systems of ODEs, Fourier series and PDEs, eigenvalue problems, the Laplace transform, and power series methods. It has a detailed appendix on linear algebra. The book was developed and used to teach Math 286/285 at the University of Illinois at Urbana-Champaign, and in the decade since, it has been used in many classrooms, ranging from small community colleges to large public research universities. See https: //www.jirka.org/diffyqs/ for more information, updates, errata, and a list of classroom adoptions.

Author : William A. Adkins,Mark G. Davidson
Publisher : Springer Science & Business Media
Page : 799 pages
File Size : 44,9 Mb
Release : 2012-07-01
Category : Mathematics
ISBN : 9781461436188

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Ordinary Differential Equations by William A. Adkins,Mark G. Davidson Pdf

Unlike most texts in differential equations, this textbook gives an early presentation of the Laplace transform, which is then used to motivate and develop many of the remaining differential equation concepts for which it is particularly well suited. For example, the standard solution methods for constant coefficient linear differential equations are immediate and simplified, and solution methods for constant coefficient systems are streamlined. By introducing the Laplace transform early in the text, students become proficient in its use while at the same time learning the standard topics in differential equations. The text also includes proofs of several important theorems that are not usually given in introductory texts. These include a proof of the injectivity of the Laplace transform and a proof of the existence and uniqueness theorem for linear constant coefficient differential equations. Along with its unique traits, this text contains all the topics needed for a standard three- or four-hour, sophomore-level differential equations course for students majoring in science or engineering. These topics include: first order differential equations, general linear differential equations with constant coefficients, second order linear differential equations with variable coefficients, power series methods, and linear systems of differential equations. It is assumed that the reader has had the equivalent of a one-year course in college calculus.

Author : Anonim
Publisher : Unknown
Page : 282 pages
File Size : 50,5 Mb
Release : 1962
Category : Differential equations
ISBN : 0821806564

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Translations of Mathematical Monographs by Anonim Pdf

Author : Serge_ Konstantinovich Godunov
Publisher : American Mathematical Soc.
Page : 298 pages
File Size : 52,6 Mb
Release : 1997-08-19
Category : Mathematics
ISBN : 0821897799

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Ordinary Differential Equations with Constant Coefficient by Serge_ Konstantinovich Godunov Pdf

This book presents the theory of ordinary differential equations with constant coefficients. The exposition is based on ideas developing the Gelfand-Shilov theorem on the polynomial representation of a matrix exponential. Boundary value problems for ordinary equations, Green matrices, Green functions, the Lopatinskii condition, and Lyapunov stability are considered. This volume can be used for practical study of ordinary differential equations using computers. In particular, algorithms and computational procedures, including the orthogonal sweep method, are described. The book also deals with stationary optimal control systems described by systems of ordinary differential equations with constant coefficients. The notions of controllability, observability, and stabilizability are analyzed, and some questions on the matrix Lure-Riccati equations are studied.

Author : Refaat El Attar
Publisher : Lulu.com
Page : 186 pages
File Size : 55,9 Mb
Release : 2005-06-03
Category : Mathematics
ISBN : 9781411639201

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Ordinary Differential Equations by Refaat El Attar Pdf

An extended introduction to ordinary differential equations. This book can be used as self study material. It contains a little bit of theory and lot of solved examples as well as tons of exercises to test your ability to solve problems using the techniques presented in the text.

Author : Valentin F. Zaitsev,Andrei D. Polyanin
Publisher : CRC Press
Page : 815 pages
File Size : 41,9 Mb
Release : 2002-10-28
Category : Mathematics
ISBN : 9781420035339

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Handbook of Exact Solutions for Ordinary Differential Equations by Valentin F. Zaitsev,Andrei D. Polyanin Pdf

Exact solutions of differential equations continue to play an important role in the understanding of many phenomena and processes throughout the natural sciences in that they can verify the correctness of or estimate errors in solutions reached by numerical, asymptotic, and approximate analytical methods. The new edition of this bestselling handboo

Author : Earl A. Coddington
Publisher : Unknown
Page : 316 pages
File Size : 55,8 Mb
Release : 1961
Category : Differential equations
ISBN : UOM:39015000978943

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An Introduction to Ordinary Differential Equations by Earl A. Coddington Pdf

This book is meant to be a text which can be used for a first course in ordinary differential equations. The student is assumed to have a knowledge of calculus but not what is usually called advanced calculus. The aim is to give an elementary, thorough systematic introduction to the subject. All significant results are stated as theorems, and careful proofs are given. The exercises in the book serve two purposes: to develop the student's technique in solving equations, or to help sharpen the student's understanding of the mathematical structure of the subject. The exercises also introduce the student to a variety of topics not treated in the text: stability, equations with periodic coefficients, and boundary value problems.

Author : Bindhyachal Rai,D. P. Choudhury,Herbert I. Freedman
Publisher : CRC Press
Page : 484 pages
File Size : 51,7 Mb
Release : 2002
Category : Mathematics
ISBN : 0849309921

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A Course in Ordinary Differential Equations by Bindhyachal Rai,D. P. Choudhury,Herbert I. Freedman Pdf

Designed as a text for both under and postgraduate students of mathematics and engineering, A Course in Ordinary Differential Equations deals with theory and methods of solutions as well as applications of ordinary differential equations. The treatment is lucid and gives a detailed account of Laplace transforms and their applications, Legendre and Bessel functions, and covers all the important numerical methods for differential equations.

Author : N. Finizio,G. E. Ladas
Publisher : Brooks/Cole
Page : 444 pages
File Size : 40,6 Mb
Release : 1982
Category : Differential equations
ISBN : UCAL:B5008572

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Ordinary Differential Equations with Modern Applications by N. Finizio,G. E. Ladas Pdf

Author : Francois Treves
Publisher : CRC Press
Page : 552 pages
File Size : 41,6 Mb
Release : 1966
Category : Mathematics
ISBN : 0677011903

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Linear Partial Differential Equations with Constant Coefficients by Francois Treves Pdf

Existence and approximation theorems for general differential operators -- General L2 estimates -- Fundamental solutions -- The approximation theorem -- Existence theorems for differential operators with constant coefficients -- Convexity with respect to a differential polynomial -- Interior regularity of solutions -- Partial hypoellipticity -- Existence and approximation theorems in spaces of analytic functions -- Appendix A. Semi-algebraic sets -- Appendix B. On uniqueness in the Cauchy problem -- Appendix C. Some formulas of non-commutative algebra.

Author : Stephen A. Wirkus,Randall J. Swift
Publisher : CRC Press
Page : 689 pages
File Size : 46,9 Mb
Release : 2006-10-23
Category : Mathematics
ISBN : 9781420010411

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A Course in Ordinary Differential Equations by Stephen A. Wirkus,Randall J. Swift Pdf

The first contemporary textbook on ordinary differential equations (ODEs) to include instructions on MATLAB, Mathematica, and Maple A Course in Ordinary Differential Equations focuses on applications and methods of analytical and numerical solutions, emphasizing approaches used in the typical engineering, physics, or mathematics student's field o

Author : Charles Roberts
Publisher : CRC Press
Page : 595 pages
File Size : 40,6 Mb
Release : 2010-04-05
Category : Mathematics
ISBN : 9781439882900

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Ordinary Differential Equations by Charles Roberts Pdf

In the traditional curriculum, students rarely study nonlinear differential equations and nonlinear systems due to the difficulty or impossibility of computing explicit solutions manually. Although the theory associated with nonlinear systems is advanced, generating a numerical solution with a computer and interpreting that solution are fairly elem

Author : Alfred Gray,Michael Mezzino,Mark A. Pinsky
Publisher : Springer
Page : 920 pages
File Size : 49,6 Mb
Release : 1997-06-20
Category : Computers
ISBN : UOM:39015072616249

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Introduction to Ordinary Differential Equations with Mathematica by Alfred Gray,Michael Mezzino,Mark A. Pinsky Pdf

These materials - developed and thoroughly class tested over many years by the authors -are for use in courses at the sophomore/junior level. A prerequisite is the calculus of one variable, although calculus of several variables, and linear algebra are recommended. The text covers the standard topics in first and second order equations, power series solutions, first order systems, Laplace transforms, numerical methods and stability of non-linear systems. Liberal use is made of programs in Mathematica, both for symbolic computations and graphical displays. The programs are described in separate sections, as well as in the accompanying Mathematica notebooks. However, the book has been designed so that it can be read with or without Mathematica and no previous knowledge of Mathematica is required. The CD-ROM contains the Mathematica solution of worked examples, a selection of various Mathematica notebooks, Mathematica movies and sample labs for students. Mathematica programs and additional problem/example files will be available online through the TELOS Web site and the authors dedicated web site.

Author : Shepley L. Ross
Publisher : Unknown
Page : 360 pages
File Size : 53,6 Mb
Release : 1966
Category : Differential equations
ISBN : UOM:39015001317166

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Introduction to Ordinary Differential Equations by Shepley L. Ross Pdf

Author : Bindhyachal Rai,D. P. Choudhury
Publisher : Alpha Science Int'l Ltd.
Page : 292 pages
File Size : 46,6 Mb
Release : 2005
Category : Computers
ISBN : 1842652427

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Ordinary Differential Equations by Bindhyachal Rai,D. P. Choudhury Pdf

"This textbook primarily intended for Undergraduate, Honours and Engineering courses as well as NET/GATE and other competitive examinations presupposes no background other than elementary calculus. All the methods given in the book are explained with the help of solved examples. A large number of unsolved exercises have also been provided on each topic."--BOOK JACKET.