Title
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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- Q: How many pages does the book have? A: This book has five hundred seventy-six pages. It provides a comprehensive guide on advanced mathematical methods.
- Q: What is the binding type of this book? A: The book is a hardcover edition. This ensures durability and makes it suitable for frequent use.
- Q: What are the dimensions of the book? A: The book measures six point seventy-five inches in length, one inch in width, and nine point seventy-six inches in height. It's a standard size for academic textbooks.
- Q: What topics does this book cover? A: This book covers asymptotics and perturbation theory. It focuses on obtaining approximate analytical solutions to differential and difference equations.
- Q: Who is the author of this book? A: The author of this book is Carl M. Bender. He is known for his expertise in applied mathematics.
- Q: Is this book suitable for beginners? A: This book is intended for graduates and advanced undergraduates. It assumes only a limited familiarity with differential equations and complex variables.
- Q: How can I apply the methods learned from this book? A: You can apply these methods to tackle new problems in applied mathematics. The book emphasizes practical insights rather than just theory.
- Q: Are there exercises included in the book? A: Yes, there are over six hundred problems of varying levels of difficulty included. This helps reinforce the concepts taught.
- Q: Does the book include examples? A: Yes, the book includes many well-chosen examples. These examples demonstrate how an applied mathematician approaches problems.
- Q: How do I store this book to keep it in good condition? A: Store this hardcover book in a dry place, upright on a shelf. Avoid exposing it to excessive moisture or sunlight.
- Q: What should I do if the book arrives damaged? A: If the book arrives damaged, contact the seller immediately for a return or exchange. Make sure to keep all packaging materials.
- Q: Can I find solutions to the problems in the book? A: The book does not provide solutions to all problems. It's designed to encourage independent problem-solving skills.
- Q: Is there an appendix in the book? A: Yes, there is an appendix summarizing the properties of special functions. This can be a valuable reference for readers.
- Q: What is the main focus of the book? A: The main focus is on practical applications of mathematical methods. It aims to teach readers how to approach real-world problems.
- Q: Will this book help me with my engineering studies? A: Yes, this book is particularly useful for scientists and engineers. It provides methods applicable to various engineering problems.