Norman Bleistein
Asymptotic expansions of integrals - New York: Dover publications, [c1986] - 425 p
CHAPTER 1. Fundamental Concepts
CHAPTER 2. Asymptotic Expansions of Integrals: Preliminary Discussion
CHAPTER 3. Integration by Parts
CHAPTER 4. h-transforms with Kernels of Monotonic Argument
CHAPTER 5. h-Transforms with Kernals of Nonmonotonic Argument
CHAPTER 6. h-Transforms with Oscillatory Kernels
CHAPTER 7. The Method of Steepest Descents
CHAPTER 8. Asymptotic Expansions of Multiple Integrals
CHAPTER 9. Uniform Asymptotic Expansions
Asymptotic analysis, that branch of mathematics devoted to the study of the behavior of functions within chosen limits, was once thought of more as a specialized art than a necessary discipline. Now, a solid foundation in the theory and technique of asymptotic expansion of integrals is at the heart of the education of every student concentrating in applied mathematics. It is also an invaluable asset to scientists in many other fields. This excellent introductory text, written by two experts in the field, offers students of applied mathematics — and researchers and workers in other fields — a coherent and systematic presentation of the principles and methods of asymptotic expansions of integrals. Students will find each of the nine chapters useful and easy to comprehend; each begins with elementary material or informal introductions and concludes with an abundant selection of applicable problems and exercises. All that is needed is a basic understanding of calculus, differential equations, and complex variables. --- summary provided by publisher
9780486650821
Mathematics
QA311
Asymptotic expansions of integrals - New York: Dover publications, [c1986] - 425 p
CHAPTER 1. Fundamental Concepts
CHAPTER 2. Asymptotic Expansions of Integrals: Preliminary Discussion
CHAPTER 3. Integration by Parts
CHAPTER 4. h-transforms with Kernels of Monotonic Argument
CHAPTER 5. h-Transforms with Kernals of Nonmonotonic Argument
CHAPTER 6. h-Transforms with Oscillatory Kernels
CHAPTER 7. The Method of Steepest Descents
CHAPTER 8. Asymptotic Expansions of Multiple Integrals
CHAPTER 9. Uniform Asymptotic Expansions
Asymptotic analysis, that branch of mathematics devoted to the study of the behavior of functions within chosen limits, was once thought of more as a specialized art than a necessary discipline. Now, a solid foundation in the theory and technique of asymptotic expansion of integrals is at the heart of the education of every student concentrating in applied mathematics. It is also an invaluable asset to scientists in many other fields. This excellent introductory text, written by two experts in the field, offers students of applied mathematics — and researchers and workers in other fields — a coherent and systematic presentation of the principles and methods of asymptotic expansions of integrals. Students will find each of the nine chapters useful and easy to comprehend; each begins with elementary material or informal introductions and concludes with an abundant selection of applicable problems and exercises. All that is needed is a basic understanding of calculus, differential equations, and complex variables. --- summary provided by publisher
9780486650821
Mathematics
QA311