Approximation Theory Tutorial (English Version)

Author: Ward Cheney
Publisher:
Publish Date: 2004-01-01
Features: This book focuses on the study of multivariate approximation theory. Most of the content in the book is presented in a systematic manner, with many topics still being subjects of current research. The main contents include positive definite functions, radial basis function interpolation, thin plate splines, neural networks, ridge functions, and wavelet analysis, among others. This work serves as an excellent textbook for the study and research of approximation theory, suitable for graduate-level teaching needs. The author is a renowned scholar in this field, enjoying high prestige worldwide. The book focuses on the study of multivariate approximation theory. Most of the content in the book is presented in a systematic manner, with many topics still being subjects of current research. The main contents include positive definite functions, radial basis function interpolation, thin plate splines, neural networks, ridge functions, and wavelet analysis, among others. Each chapter includes practical problems from current research in fields such as science, engineering, geophysics, business, and economics.