Comprehensive mathematics for computer scientists
By: Guerino Mazzola, Gérard Milmeister, Jody Weissmann.
Contributors: Milmeister, Gérard.; Weissmann, Jody.
Series: Universitext
Publisher: Springer
Published: 2004
Place of publication: Berlin; New York
Language: eng
Number of pages: 355
Subjects: Computer science -- Mathematics
Description: 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.
Notes: Includes bibliographical references and index.
Complete in 2 v.
Table of contents: title: 1.; title: Sets and numbers, graphs and algebra, logic and machines, linear geometry -- 2.; title: Calculus and ODEs, Splines, Probability, Fourier and Wavelet Theory, Fractals and Neural Networks, Categories and Lambda Calculus.