Comprehensive Mathematics for Computer Scientists 2 Calculus and ODEs, Splines, Probability, Fourier and Wavelet Theory, Fractals and Neural Networks, Categories and Lambda Calculus /

• Main Authors: Mazzola, Guerino (Author), Milmeister, Gérard (Author), Weissmann, Jody (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005.
• Series: Universitext
• Subjects: Computer science.; Mathematical logic.; Computer science > Mathematics.; Applied mathematics.; Engineering mathematics.; Computer Science.; Discrete Mathematics in Computer Science.; Applications of Mathematics.; Mathematical Logic and Formal Languages.

This second volume of a comprehensive tour through mathematical core subjects for computer scientists completes the ?rst volume in two - gards: Part III ?rst adds topology, di?erential, and integral calculus to the t- ics of sets, graphs, algebra, formal logic, machines, and linear geometry, of volu...

Table of Contents:

• Topology and Calculus
• Limits and Topology
• Differentiability
• Inverse and Implicit Functions
• Integration
• The Fundamental Theorem of Calculus and Fubini’s Theorem
• Vector Fields
• Fixpoints
• Main Theorem of ODEs
• Third Advanced Topic
• Selected Higher Subjects
• Categories
• Splines
• Fourier Theory
• Wavelets
• Fractals
• Neural Networks
• Probability Theory
• Lambda Calculus.