Advanced Mathematical Methods for Scientists and Engineers (International Series in Pure and Applied Mathematics),Used

Advanced Mathematical Methods for Scientists and Engineers (International Series in Pure and Applied Mathematics),Used

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A clear, practical and selfcontained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations. Aimed at teaching the most useful insights in approaching new problems, the text avoids special methods and tricks that only work for particular problems. Intended for graduates and advanced undergraduates, it assumes only a limited familiarity with differential equations and complex variables. The presentation begins with a review of differential and difference equations, then develops local asymptotic methods for such equations, and explains perturbation and summation theory before concluding with an exposition of global asymptotic methods. Emphasizing applications, the discussion stresses care rather than rigor and relies on many wellchosen examples to teach readers how an applied mathematician tackles problems. There are 190 computergenerated plots and tables comparing approximate and exact solutions, over 600 problems of varying levels of difficulty, and an appendix summarizing the properties of special functions.

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Frequently Asked Questions

  • Q: What topics does 'Advanced Mathematical Methods for Scientists and Engineers' cover? A: This book covers asymptotics and perturbation theory, focusing on obtaining approximate analytical solutions to differential and difference equations. It emphasizes local and global asymptotic methods and includes discussions on perturbation and summation theory.
  • Q: Who is the intended audience for this book? A: The book is aimed at graduate and advanced undergraduate students with a limited familiarity with differential equations and complex variables.
  • Q: What kind of problems does the book include? A: It includes over 600 problems of varying difficulty levels, designed to help readers apply the methods discussed in the text.
  • Q: Are there visual aids in the book? A: Yes, the book contains 190 computer-generated plots and tables that compare approximate and exact solutions, enhancing the understanding of the material.
  • Q: What is the binding type of this book? A: The book is available in hardcover binding, providing durability for frequent use.
  • Q: When was 'Advanced Mathematical Methods for Scientists and Engineers' published? A: The book was published on January 1, 1978.
  • Q: Does the book provide any summaries or appendices? A: Yes, it includes an appendix that summarizes the properties of special functions relevant to the methods discussed.
  • Q: Is prior knowledge of mathematics required to understand this book? A: While some familiarity with differential equations and complex variables is assumed, the book is designed to be clear and self-contained, making it accessible for learners.
  • Q: What is the length of the book? A: The book has a total of 576 pages.
  • Q: Who is the author of this book? A: The book is authored by Carl M. Bender.