An Introduction To Differential Equations And Linear Algebra
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An Introduction To Differential Equations And Linear Algebra
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Author : Stephen W. Goode
language : en
Publisher:
Release Date : 1991
An Introduction To Differential Equations And Linear Algebra written by Stephen W. Goode and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Algebras, Linear categories.
Introduction To Linear Algebra And Differential Equations
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Author : John W. Dettman
language : en
Publisher: Courier Corporation
Release Date : 2012-10-05
Introduction To Linear Algebra And Differential Equations written by John W. Dettman and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-05 with Mathematics categories.
Excellent introductory text focuses on complex numbers, determinants, orthonormal bases, symmetric and hermitian matrices, first order non-linear equations, linear differential equations, Laplace transforms, Bessel functions, more. Includes 48 black-and-white illustrations. Exercises with solutions. Index.
Differential Equations
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Author : Clay C. Ross
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-08-03
Differential Equations written by Clay C. Ross and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-08-03 with Mathematics categories.
The first edition (94301-3) was published in 1995 in TIMS and had 2264 regular US sales, 928 IC, and 679 bulk. This new edition updates the text to Mathematica 5.0 and offers a more extensive treatment of linear algebra. It has been thoroughly revised and corrected throughout.
A Friendly Introduction To Differential Equations
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Author : Mohammed K A Kaabar
language : en
Publisher: CreateSpace Independent Publishing Platform
Release Date : 2015-01-05
A Friendly Introduction To Differential Equations written by Mohammed K A Kaabar and has been published by CreateSpace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-05 with Mathematics categories.
In this book, there are five chapters: The Laplace Transform, Systems of Homogenous Linear Differential Equations (HLDE), Methods of First and Higher Orders Differential Equations, Extended Methods of First and Higher Orders Differential Equations, and Applications of Differential Equations. In addition, there are exercises at the end of each chapter above to let students practice additional sets of problems other than examples, and they can also check their solutions to some of these exercises by looking at "Answers to Odd-Numbered Exercises" section at the end of this book. This book is a very useful for college students who studied Calculus II, and other students who want to review some concepts of differential equations before studying courses such as partial differential equations, applied mathematics, and electric circuits II.
Elementary Differential Equations With Linear Algebra
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Author : Albert L. Rabenstein
language : en
Publisher: Academic Press
Release Date : 2014-05-10
Elementary Differential Equations With Linear Algebra written by Albert L. Rabenstein and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
Elementary Differential Equations with Linear Algebra, Third Edition provides an introduction to differential equation and linear algebra. This book includes topics on numerical methods and Laplace transforms. Organized into nine chapters, this edition begins with an overview of an equation that involves a single unknown function of a single variable and some finite number of its derivatives. This text then examines a linear system of two equations with two unknowns. Other chapters consider a class of linear transformations that are defined on spaces of functions wherein these transformations are essential in the study of linear differential equations. This book discusses as well the linear differential equations whose coefficients are constant functions. The final chapter deals with the properties of Laplace transform in detail and examine as well the applications of Laplace transforms to differential equations. This book is a valuable resource for mathematicians, students, and research workers.
Differential Equations And Linear Algebra
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Author : Stephen W. Goode
language : en
Publisher:
Release Date : 2000
Differential Equations And Linear Algebra written by Stephen W. Goode and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Cebir, doğrusal categories.
Differential Equations With Linear Algebra
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Author : Matthew R. Boelkins
language : en
Publisher: Oxford University Press
Release Date : 2009-11-05
Differential Equations With Linear Algebra written by Matthew R. Boelkins and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-11-05 with Mathematics categories.
Linearity plays a critical role in the study of elementary differential equations; linear differential equations, especially systems thereof, demonstrate a fundamental application of linear algebra. In Differential Equations with Linear Algebra, we explore this interplay between linear algebra and differential equations and examine introductory and important ideas in each, usually through the lens of important problems that involve differential equations. Written at a sophomore level, the text is accessible to students who have completed multivariable calculus. With a systems-first approach, the book is appropriate for courses for majors in mathematics, science, and engineering that study systems of differential equations. Because of its emphasis on linearity, the text opens with a full chapter devoted to essential ideas in linear algebra. Motivated by future problems in systems of differential equations, the chapter on linear algebra introduces such key ideas as systems of algebraic equations, linear combinations, the eigenvalue problem, and bases and dimension of vector spaces. This chapter enables students to quickly learn enough linear algebra to appreciate the structure of solutions to linear differential equations and systems thereof in subsequent study and to apply these ideas regularly. The book offers an example-driven approach, beginning each chapter with one or two motivating problems that are applied in nature. The following chapter develops the mathematics necessary to solve these problems and explores related topics further. Even in more theoretical developments, we use an example-first style to build intuition and understanding before stating or proving general results. Over 100 figures provide visual demonstration of key ideas; the use of the computer algebra system Maple and Microsoft Excel are presented in detail throughout to provide further perspective and support students' use of technology in solving problems. Each chapter closes with several substantial projects for further study, many of which are based in applications. Errata sheet available at: www.oup.com/us/companion.websites/9780195385861/pdf/errata.pdf
Introduction To Differential Equations And Linear Algebra
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Author : Alan Parks
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2017-07-11
Introduction To Differential Equations And Linear Algebra written by Alan Parks and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-11 with Algebras, Linear categories.
A post-calculus course in differential equations and linear algebra with an emphasis on standard problems and solution techniques. Introduces many areas of application in the natural and social sciences. Reflects the close relationship between differential equations and linear algebra. Brief introduction to partial differential equations.
The Theory Of Differential Equations
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Author : Walter G. Kelley
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-04-22
The Theory Of Differential Equations written by Walter G. Kelley and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-22 with Mathematics categories.
For over 300 years, differential equations have served as an essential tool for describing and analyzing problems in many scientific disciplines. This carefully-written textbook provides an introduction to many of the important topics associated with ordinary differential equations. Unlike most textbooks on the subject, this text includes nonstandard topics such as perturbation methods and differential equations and Mathematica. In addition to the nonstandard topics, this text also contains contemporary material in the area as well as its classical topics. This second edition is updated to be compatible with Mathematica, version 7.0. It also provides 81 additional exercises, a new section in Chapter 1 on the generalized logistic equation, an additional theorem in Chapter 2 concerning fundamental matrices, and many more other enhancements to the first edition. This book can be used either for a second course in ordinary differential equations or as an introductory course for well-prepared students. The prerequisites for this book are three semesters of calculus and a course in linear algebra, although the needed concepts from linear algebra are introduced along with examples in the book. An undergraduate course in analysis is needed for the more theoretical subjects covered in the final two chapters.
An Introduction To Linear Ordinary Differential Equations Using The Impulsive Response Method And Factorization
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Author : Roberto Camporesi
language : en
Publisher: Springer
Release Date : 2016-12-08
An Introduction To Linear Ordinary Differential Equations Using The Impulsive Response Method And Factorization written by Roberto Camporesi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-08 with Mathematics categories.
This book presents a method for solving linear ordinary differential equations based on the factorization of the differential operator. The approach for the case of constant coefficients is elementary, and only requires a basic knowledge of calculus and linear algebra. In particular, the book avoids the use of distribution theory, as well as the other more advanced approaches: Laplace transform, linear systems, the general theory of linear equations with variable coefficients and variation of parameters. The case of variable coefficients is addressed using Mammana’s result for the factorization of a real linear ordinary differential operator into a product of first-order (complex) factors, as well as a recent generalization of this result to the case of complex-valued coefficients.