# Differential Equations with Linear Algebra

## Matthew R. Boelkins; Jack L. Goldberg; Merle C. Potter

3,6 valoración promedio
( 5 valoraciones por Goodreads )

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

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Matt Boelkins is Associate Professor of Mathematics at Grand Valley State University.

Merle C. Potter is Professor Emeritus of Engineering at Michigan State University and was the first recipient of the Teacher-Scholar award. He has authored or coauthored twenty-four textbooks and exam review books.

Jack Goldberg is Professor Emeritus of Mathematics at the University of Michigan. He has published several textbooks and numerous research papers.

Review:

Summary in Mathematical Reviews

"A very good reference for teachers or students. Recommended."--Choice

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## 1.Differential Equations With Linear Algebra

ISBN 10: 0195385861 ISBN 13: 9780195385861
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## 2.Differential Equations with Linear Algebra

Editorial: Oxford University Press (2016)
ISBN 10: 0195385861 ISBN 13: 9780195385861
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Descripción Oxford University Press, 2016. Paperback. Estado de conservación: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Nº de ref. de la librería ria9780195385861_lsuk

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## 3.Differential Equations with Linear Algebra

ISBN 10: 0195385861 ISBN 13: 9780195385861
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Descripción 2009. HRD. Estado de conservación: New. New Book. Shipped from US within 10 to 14 business days. Established seller since 2000. Nº de ref. de la librería VU-9780195385861

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## 4.Differential Equations with Linear Algebra

Editorial: Oxford University Press, USA (2009)
ISBN 10: 0195385861 ISBN 13: 9780195385861
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Descripción Oxford University Press, USA, 2009. Hardcover. Estado de conservación: New. Nº de ref. de la librería SONG0195385861

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## 5.Differential Equations with Linear Algebra

Editorial: Oxford University Press (2009)
ISBN 10: 0195385861 ISBN 13: 9780195385861
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Descripción Oxford University Press, 2009. Hardcover. Estado de conservación: New. Nº de ref. de la librería INGM9780195385861

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## 6.Differential Equations with Linear Algebra

Editorial: OUP USA (2009)
ISBN 10: 0195385861 ISBN 13: 9780195385861
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Descripción OUP USA, 2009. HRD. Estado de conservación: New. New Book. Delivered from our US warehouse in 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND.Established seller since 2000. Nº de ref. de la librería IP-9780195385861

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## 7.Differential Equations with Linear Algebra (Hardback)

Editorial: Oxford University Press Inc, United States (2009)
ISBN 10: 0195385861 ISBN 13: 9780195385861
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Descripción Oxford University Press Inc, United States, 2009. Hardback. Estado de conservación: New. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. 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. Nº de ref. de la librería BTE9780195385861

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## 8.Differential Equations with Linear Algebra

Editorial: Oxford University Press (2017)
ISBN 10: 0195385861 ISBN 13: 9780195385861
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Descripción Oxford University Press, 2017. Hardcover. Estado de conservación: New. Never used! This item is printed on demand. Nº de ref. de la librería 0195385861

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## 9.Differential Equations with Linear Algebra

Editorial: Oxford University Press, USA (2009)
ISBN 10: 0195385861 ISBN 13: 9780195385861
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Ergodebooks
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Descripción Oxford University Press, USA, 2009. Hardcover. Estado de conservación: New. Nº de ref. de la librería DADAX0195385861

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## 10.Differential Equations with Linear Algebra (Hardback)

Editorial: Oxford University Press Inc, United States (2009)
ISBN 10: 0195385861 ISBN 13: 9780195385861
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(London, Reino Unido)
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Descripción Oxford University Press Inc, United States, 2009. Hardback. Estado de conservación: New. Language: English . Brand New Book ***** Print on Demand *****.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. Nº de ref. de la librería APC9780195385861

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