Analysis for Computer Scientists Foundations, Methods, and Algorithms /

• Κύριοι συγγραφείς: Oberguggenberger, Michael (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Ostermann, Alexander (http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Έκδοση: 2nd ed. 2018.
• Σειρά: Undergraduate Topics in Computer Science,
• Θέματα: Computer science-Mathematics.; Computer mathematics.; Applied mathematics.; Engineering mathematics.; Math Applications in Computer Science.; Computational Mathematics and Numerical Analysis.; Mathematical and Computational Engineering.; Discrete Mathematics in Computer Science.

This easy-to-follow textbook/reference presents a concise introduction to mathematical analysis from an algorithmic point of view, with a particular focus on applications of analysis and aspects of mathematical modelling. The text describes the mathematical theory alongside the basic concepts and me...

Πίνακας περιεχομένων:

• 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
• Appendix A: Vector Algebra
• Appendix B: Matrices
• Appendix C: Further Results on Continuity
• Appendix D: Description of the Supplementary Software.