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A First Course in Differential Equations

This text is designed for the standard post-calculus course in elementary differential equations. It is a brief one-semester treatment of the basic ideas, models, and solution methods. It emphasizes graphical, analytical, and numerical approaches and is written with clear language in a user-friendly format. It provides students with the tools to continue on to the next level in applying differential equations to problems in engineering, science, and applied mathematics. Many exercises are provided, in addition to examples from engineering, ecology, physics, economics, and other areas. An expanded section on the required linear algebra is provided, and an appendix contains templates of Maple and MATLAB commands and programs that are useful in differential equations.

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  • "This text is designed for the standard post-calculus course in elementary differential equations. It is a brief one-semester treatment of the basic ideas, models, and solution methods. It emphasizes graphical, analytical, and numerical approaches and is written with clear language in a user-friendly format. It provides students with the tools to continue on to the next level in applying differential equations to problems in engineering, science, and applied mathematics. Many exercises are provided, in addition to examples from engineering, ecology, physics, economics, and other areas. An expanded section on the required linear algebra is provided, and an appendix contains templates of Maple and MATLAB commands and programs that are useful in differential equations."@en
  • "Presenting a one-semester, brief treatment of the basic ideas, models, and solution methods, this text on elementary differential equations includes worked examples and exercises. It offers the tools to go to the next level in applying ODEs to problems in engineering, science, and applied mathematics."@en
  • "This concise and up-to-date textbook is designed for the standard sophomore course in differential equations. It treats the basic ideas, models, and solution methods in a user friendly format that is accessible to engineers, scientists, economists, and mathematics majors. It emphasizes analytical, graphical, and numerical techniques, and it provides the tools needed by students to continue to the next level in applying the methods to more advanced problems. There is a strong connection to applications with motivations in mechanics and heat transfer, circuits, biology, economics, chemical reactors, and other areas. Exceeding the first edition by over one hundred pages, this new edition has a large increase in the number of worked examples and practice exercises, and it continues to provide templates for MATLAB and Maple commands and codes that are useful in differential equations. Sample examination questions are included for students and instructors. Solutions of many of the exercises are contained in an appendix. Moreover, the text contains a new, elementary chapter on systems of differential equations, both linear and nonlinear, that introduces key ideas without matrix analysis. Two subsequent chapters treat systems in a more formal way. Briefly, the topics include: * First-order equations: separable, linear, autonomous, and bifurcation phenomena; * Second-order linear homogeneous and non-homogeneous equations; * Laplace transforms; and * Linear and nonlinear systems, and phase plane properties."@en
  • "The third edition of this concise, popular textbook on elementary differential equations gives instructors an alternative to the many voluminous texts on the market. It presents a thorough treatment of the standard topics in an accessible, easy-to-read, format. The overarching perspective of the text conveys that differential equations are about applications. This book illuminates the mathematical theory in the text with a wide variety of applications that will appeal to students in physics, engineering, the biosciences, economics and mathematics. Instructors are likely to find that the first four or five chapters are suitable for a first course in the subject. This edition contains a healthy increase over earlier editions in the number of worked examples and exercises, particularly those routine in nature. Two appendices include a review with practice problems, and a MATLAB℗ʼ supplement that gives basic codes and commands for solving differential equations. MATLAB℗ʼ is not required; students are encouraged to utilize available software to plot many of their solutions. Solutions to even-numbered problems are available on springer.com. From the reviews of the second edition: ℓ́ℓThe coverage of linear systems in the plane is nicely detailed and illustrated. ℓ́ŒSimple numerical methods are illustrated and the use of Maple and MATLAB is encouraged. ℓ́Œselect Dave Loganℓ́ℓs new and improved text for my course.ℓ́ℓ ℓ́ℓRobert E. Oℓ́ℓMalley, Jr., SIAM Review, Vol. 53 (2), 2011 ℗ℓℓ́ℓAims to provide material for a one-semester course that emphasizes the basic ideas, solution methods, and an introduction to modeling. ℓ́ŒThe book that results offers a concise introduction to the subject for students of mathematics, science and engineering who have completed the introductory calculus sequence. ℓ́ŒThis book is worth a careful look as a candidate text for the next differential equations course you teach.ℓ́ℓ ℓ́ℓWi"@en

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  • "Electronic books"@en
  • "Electronic books"
  • "Llibres electrònics"
  • "Textbooks"@en
  • "Textbooks"
  • "Lehrbuch"@en
  • "Lehrbuch"
  • "Leermiddelen (vorm)"

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  • "A first course in differential equations"
  • "First course in differential equations"
  • "A First course in differential equations"
  • "A First Course in Differential Equations"
  • "A First Course in Differential Equations"@en
  • "A first course in differential equations"@en

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