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A Modern Introduction to Differential Equations,Used
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A Modern Introduction to Differential Equations, Second Edition, provides an introduction to the basic concepts of differential equations.The book begins by introducing the basic concepts of differential equations, focusing on the analytical, graphical, and numerical aspects of firstorder equations, including slope fields and phase lines. The discussions then cover methods of solving secondorder homogeneous and nonhomogeneous linear equations with constant coefficients; systems of linear differential equations; the Laplace transform and its applications to the solution of differential equations and systems of differential equations; and systems of nonlinear equations. Each chapter concludes with a summary of the important concepts in the chapter. Figures and tables are provided within sections to help students visualize or summarize concepts. The book also includes examples and exercises drawn from biology, chemistry, and economics, as well as from traditional pure mathematics, physics, and engineering.This book is designed for undergraduate students majoring in mathematics, the natural sciences, and engineering. However, students in economics, business, and the social sciences with the necessary background will also find the text useful. Student friendly readability assessible to the average student Early introduction of qualitative and numerical methods Large number of exercises taken from biology, chemistry, economics, physics and engineering Exercises are labeled depending on difficulty/sophistication End of chapter summaries Group projects
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- Q: What topics are covered in 'A Modern Introduction to Differential Equations'? A: The book covers basic concepts of differential equations, including analytical, graphical, and numerical aspects of first-order equations, second-order homogeneous and nonhomogeneous linear equations, systems of linear differential equations, and the Laplace transform.
- Q: Who is the target audience for this book? A: This book is designed for undergraduate students majoring in mathematics, the natural sciences, and engineering. It can also benefit students in economics, business, and social sciences with the necessary background.
- Q: What is the structure of the chapters in this book? A: Each chapter concludes with a summary of key concepts and includes figures and tables to help visualize concepts. There are also exercises categorized by difficulty to reinforce learning.
- Q: How many pages does this book have? A: The book contains a total of 536 pages.
- Q: What is the binding type of this edition? A: This edition of 'A Modern Introduction to Differential Equations' is available in hardcover binding.
- Q: When was this book published? A: The second edition of the book was published on March 26, 2009.
- Q: Is this book suitable for self-study? A: Yes, the book is written in a student-friendly manner and is accessible to the average student, making it suitable for self-study.
- Q: Are there exercises included in the book? A: Yes, the book includes a large number of exercises drawn from various fields such as biology, chemistry, economics, physics, and engineering, which are helpful for practice.
- Q: Does the book include group projects? A: Yes, the book includes group projects that encourage collaboration and deeper understanding of differential equations.
- Q: What makes this book different from other differential equations textbooks? A: This book features an early introduction of qualitative and numerical methods, a variety of exercises, and a focus on practical applications, making it distinct from other textbooks.