TY  - BOOK
AU  - Mazzola,Guerino
AU  - Milmeister,Gérard
AU  - Weissmann,Jody
ED  - SpringerLink (Online service)
TI  - Comprehensive Mathematics for Computer Scientists 2: Calculus and ODEs, Splines, Probability, Fourier and Wavelet Theory, Fractals and Neural Networks, Categories and Lambda Calculus 
T2  - Universitext
SN  - 9783540269373
AV  - QA76.9.M35  
U1  - 004.0151 23
PY  - 2005///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Computer science
KW  - Computational complexity
KW  - Mathematics
KW  - Computer Science
KW  - Discrete Mathematics in Computer Science
KW  - Applications of Mathematics
KW  - Mathematical Logic and Formal Languages
N1  - 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
N2  - 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 volume 1. With this spectrum of fundamentals in mathematical e- cation, young professionals should be able to successfully attack more involved subjects, which may be relevant to the computational sciences. In a second regard, the end of part III and part IV add a selection of more advanced topics. In view of the overwhelming variety of mathematical approaches in the computational sciences, any selection, even the most empirical, requires a methodological justi?cation. Our primary criterion has been the search for harmonization and optimization of thematic - versity and logical coherence. This is why we have, for instance, bundled such seemingly distant subjects as recursive constructions, ordinary d- ferential equations, and fractals under the unifying perspective of c- traction theory
UR  - http://dx.doi.org/10.1007/b138337
ER  -