A First Course in Differential Equations (Undergraduate Texts in Mathematics),New

A First Course in Differential Equations (Undergraduate Texts in Mathematics),New

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This concise and uptodate 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. 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: Firstorder equations: separable, linear, autonomous, and bifurcation phenomena; Secondorder linear homogeneous and nonhomogeneous equations; Laplace transforms; and Linear and nonlinear systems, and phase plane properties.

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Frequently Asked Questions

  • Q: What topics are covered in 'A First Course in Differential Equations'? A: The book covers first-order equations, second-order linear equations, Laplace transforms, and linear and nonlinear systems, including phase plane properties.
  • Q: Who is the author of this textbook? A: The author of 'A First Course in Differential Equations' is J. David Logan.
  • Q: What is the intended audience for this textbook? A: This textbook is designed for sophomore students in various fields, including engineering, science, economics, and mathematics.
  • Q: Is this textbook suitable for self-study? A: Yes, the user-friendly format and clear explanations make it suitable for self-study.
  • Q: What is the binding type of this book? A: The book is available in hardcover binding.
  • Q: When was the second edition of this book published? A: The second edition was published on November 2, 2010.
  • Q: How many pages does the textbook have? A: The textbook contains a total of 404 pages.
  • Q: Does this textbook include exercises or examples? A: Yes, the book includes various examples and exercises to enhance understanding of differential equations.
  • Q: What is the condition of the book? A: The book is in new condition.
  • Q: Are there any prerequisites for studying this textbook? A: A basic understanding of calculus is typically recommended before studying differential equations.