Ordinary Differential Equations With Linear Algebra
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Ordinary Differential Equations With Linear Algebra
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Author : David Lomen
language : en
Publisher: Prentice Hall
Release Date : 1986
Ordinary Differential Equations With Linear Algebra written by David Lomen and has been published by Prentice Hall this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.
Ordinary Differential Equations And Linear Algebra
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Author : Todd Kapitula
language : en
Publisher: SIAM
Release Date : 2015-11-17
Ordinary Differential Equations And Linear Algebra written by Todd Kapitula and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-17 with Mathematics categories.
Ordinary differential equations (ODEs) and linear algebra are foundational postcalculus mathematics courses in the sciences. The goal of this text is to help students master both subject areas in a one-semester course. Linear algebra is developed first, with an eye toward solving linear systems of ODEs. A computer algebra system is used for intermediate calculations (Gaussian elimination, complicated integrals, etc.); however, the text is not tailored toward a particular system. Ordinary Differential Equations and Linear Algebra: A Systems Approach systematically develops the linear algebra needed to solve systems of ODEs and includes over 15 distinct applications of the theory, many of which are not typically seen in a textbook at this level (e.g., lead poisoning, SIR models, digital filters). It emphasizes mathematical modeling and contains group projects at the end of each chapter that allow students to more fully explore the interaction between the modeling of a system, the solution of the model, and the resulting physical description.
Linear Algebra And Ordinary Differential Equations Softcover
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Author : Alan Jeffrey
language : en
Publisher: CRC Press
Release Date : 1991-03-03
Linear Algebra And Ordinary Differential Equations Softcover written by Alan Jeffrey and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-03-03 with Mathematics categories.
This book, written for undergraduate engineering and applied mathematics students, incorporates a broad coverage of essential standard topics in differential equations with material important to the engineering and applied mathematics fields. Because linear differential equations and systems play an essential role in many applications, the book presents linear algebra using a detailed development of matrix algebra, preceded by a short discussion of the algebra of vectors. New ideas are introduced with carefully chosen illustrative examples, which in turn are reinforced by the problem sets at the end of each section. The problem sets are divided into two parts. The first part contains straightforward problems similar to those in the text that are designed to emphasize key concepts and develop manipulative skills. The second part provides a more difficult group of problems that both extend the text and provide a deeper insight into the subject.
Differential Equations With Linear Algebra
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Author : Matthew R. Boelkins
language : en
Publisher: OUP USA
Release Date : 2009-11-05
Differential Equations With Linear Algebra written by Matthew R. Boelkins and has been published by OUP USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-11-05 with Mathematics categories.
Differential Equations with Linear Algebra explores the interplay between linear algebra and differential equations by examining fundamental problems in elementary differential equations. With an example-first style, the text is accessible to students who have completed multivariable calculus and is appropriate for courses in mathematics and engineering that study systems of differential equations.
Ordinary Differential Equations
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Author : Wolfgang Walter
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-11
Ordinary Differential Equations written by Wolfgang Walter 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 2013-03-11 with Mathematics categories.
Develops the theory of initial-, boundary-, and eigenvalue problems, real and complex linear systems, asymptotic behavior and stability. Using novel approaches to many subjects, the book emphasizes differential inequalities and treats more advanced topics such as Caratheodory theory, nonlinear boundary value problems and radially symmetric elliptic problems. New proofs are given which use concepts and methods from functional analysis. Applications from mechanics, physics, and biology are included, and exercises, which range from routine to demanding, are dispersed throughout the text. Solutions for selected exercises are included at the end of the book. All required material from functional analysis is developed in the book and is accessible to students with a sound knowledge of calculus and familiarity with notions from linear algebra. This text would be an excellent choice for a course for beginning graduate or advanced undergraduate students.
Theory And Examples Of Ordinary Differential Equations
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Author : Chin-yuan Lin
language : en
Publisher: World Scientific Publishing Company
Release Date : 2011-01-03
Theory And Examples Of Ordinary Differential Equations written by Chin-yuan Lin and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-03 with Mathematics categories.
This book presents a complete theory of ordinary differential equations, with many illustrative examples and interesting exercises. A rigorous treatment is offered with clear proofs for the theoretical results and with detailed solutions for the examples and problems.This book is intended for undergraduate students who major in mathematics and have acquired a prerequisite knowledge of calculus and partly the knowledge of a complex variable, and are now reading advanced calculus and linear algebra. Additionally, the comprehensive coverage of the theory with a wide array of examples and detailed solutions, would appeal to mathematics graduate students and researchers as well as graduate students in majors of other disciplines.As a handy reference, advanced knowledge is provided as well with details developed beyond the basics; optional sections, where main results are extended, offer an understanding of further applications of ordinary differential equations.
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.
Elementary Differential Equations With Linear Algebra
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Author : David L. Powers
language : en
Publisher: Prindle Weber & Schmidt
Release Date : 1986
Elementary Differential Equations With Linear Algebra written by David L. Powers and has been published by Prindle Weber & Schmidt this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.
Introduction To Linear Algebra And Differential Equations
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Author : John W. Dettman
language : en
Publisher: Courier Corporation
Release Date : 1986-01-01
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 1986-01-01 with Mathematics categories.
Excellent introductory text for students with one year of calculus. Topics include complex numbers, determinants, orthonormal bases, symmetric and hermitian matrices, first order non-linear equations, linear differential equations, Laplace transforms, Bessel functions and boundary-value problems. Includes 48 black-and-white illustrations. Exercises with solutions. Index.
Linear Algebra And Ordinary Differential Equations
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Author : Alan Jeffrey
language : en
Publisher: CRC Press
Release Date : 1991-03-01
Linear Algebra And Ordinary Differential Equations written by Alan Jeffrey and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-03-01 with categories.