Mathematical Analysis and the Mathematics of Computation

• Κύριοι συγγραφείς: Römisch, Werner (Συγγραφέας), Zeugmann, Thomas (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Θέματα: Computer science.; Computer science > Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Computer Science.; Mathematics of Computing.; Analysis.

This book is a comprehensive, unifying introduction to the field of mathematical analysis and the mathematics of computing. It develops the relevant theory at a modern level and it directly relates modern mathematical ideas to their diverse applications. The authors develop the whole theory. Startin...

Πίνακας περιεχομένων:

• Sets, Structures, Numbers
• Metric Spaces
• Continuous Functions in Metric Spaces
• Linear Normed Spaces, Linear Operators
• The Differential Calculus
• Applications of the Differential Calculus
• The Integral Calculus
• Linear Integral Operators
• Inner Product Spaces
• Approximative Representation of Functions
• Ordinary Differential Equations
• Discretization of Operator Equations
• Numerical Solution of Ordinary Differential Equations.