Numbers and Functions: Theory, Formulation, and Python Codes
Author: G R Liu (Author)
Publisher finelybook 出版社: World Scientific Publishing Company
Publication Date 出版日期: 2024-06-28
Language 语言: English
Print Length 页数: 228 pages
ISBN-10: 9811287627
ISBN-13: 9789811287626
Book Description
This unique volume covers two fundamental elements of computational methods – numbers and functions. It provides an in-depth discussion of the behaviors of numbers, including both real and complex numbers. The discussion leads to the important closure properties of numbers, ensuring solution consistence and existence, and also possible failure in numerical computations in science and engineering.
This text then introduces types of functions that take numbers as independent variables and produce a single number. Approaches for constructing inverse functions are also provided. Frequently used basis functions are introduced, with detailed studies on their properties and behaviors. Techniques are presented for constructing basis functions and their use in function approximation in computational methods.