Differential Equations: A Dynamical Systems Approach: Ordinary Differential Equations (Texts in Applied Mathematics, 5),New

Differential Equations: A Dynamical Systems Approach: Ordinary Differential Equations (Texts in Applied Mathematics, 5),New

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Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the clas sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM) . The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathe matical Sciences (AMS) series, which will focus on advanced textbooks and research level monographs. Preface Consider a first order differential equation of form x' = f ( t, x). In elemen tary courses one frequently gets the impression that such equations can usually be 'solved,' i. e. , that explicit formulas for the solutions (in terms of powers, exponentials, trigonometric functions, and the like) can usually be found. Nothing could be further from the truth.

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Frequently Asked Questions

  • Q: What topics are covered in 'Differential Equations: A Dynamical Systems Approach'? A: This textbook covers first-order differential equations, dynamical systems, chaos theory, and modern techniques of applied mathematics, providing a comprehensive approach to understanding these subjects.
  • Q: Is this book suitable for beginners? A: While it is designed for advanced undergraduate and beginning graduate courses, readers with a solid foundation in calculus may find it accessible.
  • Q: What is the publication date of this book? A: The book was published on February 4, 1991.
  • Q: What is the binding type of this textbook? A: The textbook is available in hardcover binding, providing durability for frequent use.
  • Q: How many pages does this book have? A: The book contains 370 pages, offering a thorough exploration of its topics.
  • Q: Who is the author of this textbook? A: The author of 'Differential Equations: A Dynamical Systems Approach' is John H. Hubbard.
  • Q: Are there any specific prerequisites for reading this book? A: A background in calculus is recommended to help understand the concepts presented in the book.
  • Q: Does this book include practical examples or exercises? A: Yes, the book includes examples and exercises to reinforce the concepts and techniques discussed.
  • Q: What edition is this book? A: This is the corrected edition of the textbook.
  • Q: How does this book compare to other differential equations textbooks? A: This book emphasizes a dynamical systems approach, integrating both classical and modern techniques, which may differ from more traditional textbooks focusing solely on analytical methods.