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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 Lambda Calculus

  • Guerino Mazzola
  • Gérard Milmeister
  • Jody Weissmann

Part of the Universitext book series (UTX)

Table of contents

  1. Front Matter
    Pages I-X
  2. Topology and Calculus

  3. Selected Higher Subjects

    1. Pages 139-159
    2. Pages 161-182
    3. Pages 183-213
    4. Pages 215-229
    5. Pages 231-251
    6. Pages 253-277
    7. Pages 279-311
    8. Pages 313-332
  4. Back Matter
    Pages 333-355

About this book

Introduction

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.

Keywords

Variable algorithms computer computer science lambda calculus logic mathematics for computer scientists statistics

Authors and affiliations

  • Guerino Mazzola
    • 1
  • Gérard Milmeister
    • 1
  • Jody Weissmann
    • 1
  1. 1.Department of InformaticsUniversity of ZurichZurichSwitzerland

Bibliographic information

  • DOI https://doi.org/10.1007/b138337
  • Copyright Information Springer-Verlag Berlin Heidelberg 2005
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Computer Science
  • Print ISBN 978-3-540-20861-7
  • Online ISBN 978-3-540-26937-3
  • Buy this book on publisher's site
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