Introduction To Differential Equations And Linear Algebra
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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.
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.
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.
Linear Mathematics An Introduction To Linear Algebra And Linear Differential Equations
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Author : Fred Brauer
language : en
Publisher:
Release Date : 1970
Linear Mathematics An Introduction To Linear Algebra And Linear Differential Equations written by Fred Brauer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Mathematics categories.
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 Algebras, Linear categories.
This very accessible guide offers a thorough introduction to the basics of differential equations and linear algebra. Expertly integrating the two topics, it explains concepts clearly and logically -without sacrificing level or rigor - and supports material with a vast array of problems of varying levels for readers to choose from. Promotes in-depth understanding (vs. rote memorization) - enabling readers to fully comprehend abstract concepts and finish with a solid and working knowledge of linear mathematics. Offers one of the most lucid and clearly written narratives on the subject, with material that is accessible to the average reader, yet challenging to all. Presents a greater emphasis on geometry to help users better visualize the abstract concepts, and illustrates all concepts with an ample amount of worked examples. Second Edition highlights include new discussions direction fields and Euler's method for first order differential equations; row space and column space of a matrix, and the rank-nullity theorem; non-linear systems of differential equations, including phase plane analysis; and change of variables for differential equations. Now features a chapter on second order linear differential equations that isnot based on vector space methods to gives users a firmer grasp of the differential equation concept early on, and also on the solution techniques for this important class of differential equations.
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.
Differential Equations And Linear Algebra
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Author : Charles Henry Edwards
language : en
Publisher: Prentice Hall
Release Date : 2010
Differential Equations And Linear Algebra written by Charles Henry Edwards and has been published by Prentice Hall this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Algebras, Linear categories.
Acclaimed authors Edwards and Penney combine core topics in elementary differential equations with those concepts and methods of elementary linear algebra needed for a contemporary combined introduction to differential equations and linear algebra. Known for its real-world applications and its blend of algebraic and geometric approaches, this book discusses mathematical modeling of real-world phenomena, with a fresh new computational and qualitative flavor evident throughout in figures, examples, problems, and applications. First-Order Differential Equations; Mathematical Models and Numerical Methods; Linear Systems and Matrices; Vector Spaces; Higher-Order Linear Differential Equations; Eigenvalues and Eigenvectors; Linear Systems of Differential Equations; Matrix Exponential Methods; Nonlinear Systems and Phenomena; Laplace Transform Methods; Power Series Methods. For future math majors, engineers, or scientists that have taken two or three semesters of Calculus.
Introduction To Differential Equations And Linear Algebra
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Author : Alan Parks
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2016-06-29
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 2016-06-29 with 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.
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 Linear Algebra And Differential Equations
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Author : John Warren Dettman
language : en
Publisher:
Release Date : 1974
Introduction To Linear Algebra And Differential Equations written by John Warren Dettman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with categories.