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Comprehensive Mathematics for Computer Scientists 2
Calculus and ODEs, Splines, Probability, Fourier and Wavelet Theory, Fractals and Neural Networks, Categories and...
Taschenbuch von Guerino Mazzola (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Zusammenfassung

Includes supplementary material: [...]

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2004
Genre: Informatik, Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Titelzusatz: Calculus and ODEs, Splines, Probability, Fourier and Wavelet Theory, Fractals and Neural Networks, Categories and Lambda Calculus
Reihe: Universitext
Inhalt: x
355 S.
ISBN-13: 9783540208617
ISBN-10: 3540208615
Sprache: Englisch
Herstellernummer: 10983140
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Mazzola, Guerino
Weissmann, Jody
Milmeister, Gérard
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Universitext
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 20 mm
Von/Mit: Guerino Mazzola (u. a.)
Erscheinungsdatum: 21.10.2004
Gewicht: 0,557 kg
Artikel-ID: 102417216
Zusammenfassung

Includes supplementary material: [...]

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2004
Genre: Informatik, Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Titelzusatz: Calculus and ODEs, Splines, Probability, Fourier and Wavelet Theory, Fractals and Neural Networks, Categories and Lambda Calculus
Reihe: Universitext
Inhalt: x
355 S.
ISBN-13: 9783540208617
ISBN-10: 3540208615
Sprache: Englisch
Herstellernummer: 10983140
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Mazzola, Guerino
Weissmann, Jody
Milmeister, Gérard
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Universitext
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 20 mm
Von/Mit: Guerino Mazzola (u. a.)
Erscheinungsdatum: 21.10.2004
Gewicht: 0,557 kg
Artikel-ID: 102417216
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