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Differential Equations for Engineers : The Essentials / David V. Kalbaugh.

By: Kalbaugh, David V [author.].
Material type: materialTypeLabelBookPublisher: Boca Raton, FL : CRC Press, 2017Edition: First edition.Description: 1 online resource (xviii, 442 pages).Content type: text Media type: computer Carrier type: online resourceISBN: 9781498798822; 1498798829; 9781351633444; 1351633449; 9781498798853; 1498798853; 9781315154961; 131515496X.Subject(s): MATHEMATICS / Differential Equations | TECHNOLOGY & ENGINEERING / Mechanical | Differential equations | Engineering mathematicsDDC classification: 515.35 Online resources: Taylor & Francis View this book online, both on- and off-campus (please use Desktop Anywhere for off-campus access) | Taylor & Francis Click here to view. | OCLC metadata license agreement
Contents:
Chapter 1 Introduction -- chapter 2 First-Order Linear Ordinary Differential Equations -- chapter 3 First-Order Nonlinear Ordinary Differential Equations -- chapter 4 Existence, Uniqueness, and Qualitative Analysis -- chapter 5 Second-Order Linear Ordinary Differential Equations -- chapter 6 Higher-Order Linear Ordinary Differential Equations -- chapter 7 Laplace Transforms -- chapter 8 Systems of First-Order Ordinary Differential Equations -- chapter 9 Partial Differential Equations.
Scope and content: "This book surveys the broad landscape of differential equations, including elements of partial differential equations (PDEs), and concisely presents the topics of most use to engineers. It introduces each topic with a motivating application drawn from electrical, mechanical, and aerospace engineering. The text has reviews of foundations, step-by-step explanations, and sets of solved problems. It fosters students? abilities in the art of approximation and self-checking. The book addresses PDEs with and without boundary conditions, which demonstrates strong similarities with ordinary differential equations and clear illustrations of the nature of solutions. Furthermore, each chapter includes word problems and challenge problems. Several extended computing projects run throughout the text."--Provided by publisher.
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Chapter 1 Introduction -- chapter 2 First-Order Linear Ordinary Differential Equations -- chapter 3 First-Order Nonlinear Ordinary Differential Equations -- chapter 4 Existence, Uniqueness, and Qualitative Analysis -- chapter 5 Second-Order Linear Ordinary Differential Equations -- chapter 6 Higher-Order Linear Ordinary Differential Equations -- chapter 7 Laplace Transforms -- chapter 8 Systems of First-Order Ordinary Differential Equations -- chapter 9 Partial Differential Equations.

"This book surveys the broad landscape of differential equations, including elements of partial differential equations (PDEs), and concisely presents the topics of most use to engineers. It introduces each topic with a motivating application drawn from electrical, mechanical, and aerospace engineering. The text has reviews of foundations, step-by-step explanations, and sets of solved problems. It fosters students? abilities in the art of approximation and self-checking. The book addresses PDEs with and without boundary conditions, which demonstrates strong similarities with ordinary differential equations and clear illustrations of the nature of solutions. Furthermore, each chapter includes word problems and challenge problems. Several extended computing projects run throughout the text."--Provided by publisher.

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