Comprehensive Mathematics for Computer Scientists 2 : Calculus and ODEs, Splines, Probability, Fourier and Wavelet Theory, Fractals and Neural Networks, Categories and Lambda Calculus /
By: Mazzola, Guerino [author.].
Contributor(s): Milmeister, Gérard [author.] | Weissmann, Jody [author.] | SpringerLink (Online service).
Material type:
BookSeries: Universitext: Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005.Description: X, 355 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783540269373.Subject(s): 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 LanguagesDDC classification: 004.0151 Online resources: Click here to access online | Item type | Current location | Call number | Status | Date due | Barcode | Item holds |
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E books
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PK Kelkar Library, IIT Kanpur | Available | EBK380 |
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.
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