Numbers and functions

• Verfasst von: Liu, G. R. [VerfasserIn]
• Titel: Numbers and functions
• Titelzusatz: theory, formulation, and Python codes
• Verf.angabe: G.R. Liu, University of Cincinnati, USA
• Verlagsort: New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo
• Verlag: World Scientific
• E-Jahr: 2024
• Jahr: [2024]
• Umfang: vii, 217 Seiten
• Illustrationen: Illustrationen, Diagramme
• Format: 26 cm
• Gesamttitel/Reihe: Series in computational methods ; volume 1
• ISBN: 978-981-12-8762-6
• Schlagwörter: (s)Numerisches Verfahren / (s)Wissenschaftliches Rechnen / (s)Gleitkommazahl / (s)Komplexe Zahl / (s)Basisfunktion / (s)Polynomapproximation / (s)Python <Programmiersprache>
• Sprache: eng
• Bibliogr. Hinweis: Erscheint auch als : Online-Ausgabe: Liu, Gui-Rong: Numbers and functions. - New Jersey : World Scientific, 2024. - 1 Online-Ressource
• RVK-Notation: SK 180
• K10plus-PPN: 1880132303

Abstract

"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"