Comprehensive Mathematics for Computer Scientists 2
Mazzola, Guerino.
Comprehensive Mathematics for Computer Scientists 2 Calculus and ODEs, Splines, Probability, Fourier and Wavelet Theory, Fractals and Neural Networks, Categories and Lambda Calculus / [electronic resource] : by Guerino Mazzola, Gérard Milmeister, Jody Weissmann. - X, 355 p. 114 illus. online resource. - Universitext . - Universitext .
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.
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.
9783540269373
10.1007/b138337 doi
Computer science.
Computational complexity.
Mathematics.
Computer Science.
Discrete Mathematics in Computer Science.
Applications of Mathematics.
Mathematical Logic and Formal Languages.
QA76.9.M35
004.0151
Comprehensive Mathematics for Computer Scientists 2 Calculus and ODEs, Splines, Probability, Fourier and Wavelet Theory, Fractals and Neural Networks, Categories and Lambda Calculus / [electronic resource] : by Guerino Mazzola, Gérard Milmeister, Jody Weissmann. - X, 355 p. 114 illus. online resource. - Universitext . - Universitext .
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.
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.
9783540269373
10.1007/b138337 doi
Computer science.
Computational complexity.
Mathematics.
Computer Science.
Discrete Mathematics in Computer Science.
Applications of Mathematics.
Mathematical Logic and Formal Languages.
QA76.9.M35
004.0151