Analysis for Computer Scientists Foundations, Methods, and Algorithms /

• Main Authors: Oberguggenberger, Michael (Author), Ostermann, Alexander (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: London : Springer London, 2011.
• Series: Undergraduate Topics in Computer Science,
• Subjects: Computer science.; Computer science > Mathematics.; Computer mathematics.; Applied mathematics.; Engineering mathematics.; Computer Science.; Math Applications in Computer Science.; Computational Mathematics and Numerical Analysis.; Appl.Mathematics/Computational Methods of Engineering.; Discrete Mathematics in Computer Science.

Mathematics and mathematical modelling are of central importance in computer science, and therefore it is vital that computer scientists are aware of the latest concepts and techniques. This concise and easy-to-read textbook/reference presents an algorithmic approach to mathematical analysis, with a...

Table of Contents:

• Numbers
• Real-Valued Functions
• Trigonometry
• Complex Numbers
• Sequences and Series
• Limits and Continuity of Functions
• The Derivative of a Function
• Applications of the Derivative
• Fractals and L-Systems
• Antiderivatives
• Definite Integrals
• Taylor Series
• Numerical Integration
• Curves
• Scalar-Valued Functions of Two Variables
• Vector-Valued Functions of Two Variables
• Integration of Functions of Two Variables
• Linear Regression
• Differential Equations
• Systems of Differential Equations
• Numerical Solution of Differential Equations.