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Computational Algebra and Number Theory

  • Wieb Bosma
  • Alf van der Poorten

Part of the Mathematics and Its Applications book series (MAIA, volume 325)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. M. Leeming, R. F. C. Walters
    Pages 53-73
  3. Alice C. Niemeyer
    Pages 75-82
  4. E. A. O’Brien
    Pages 83-90
  5. H. W. Lenstra Jr., J. Pila
    Pages 111-118
  6. Enrico Bombieri, Alfred J. van der Poorten
    Pages 137-152
  7. Stéphane Louboutin, Richard A. Mollin
    Pages 153-158
  8. Johannes Buchmann, Christoph Thiel, Hugh Williams
    Pages 159-185
  9. Peter Stevenhagen
    Pages 187-200
  10. Richard P. Brent
    Pages 201-212
  11. H. Sunil Gunaratne
    Pages 255-265
  12. Deryn Griffiths
    Pages 267-277
  13. K. J. Horadam, W. de Launey
    Pages 279-290

About this book

Introduction

Computers have stretched the limits of what is possible in mathematics. More: they have given rise to new fields of mathematical study; the analysis of new and traditional algorithms, the creation of new paradigms for implementing computational methods, the viewing of old techniques from a concrete algorithmic vantage point, to name but a few.
Computational Algebra and Number Theory lies at the lively intersection of computer science and mathematics. It highlights the surprising width and depth of the field through examples drawn from current activity, ranging from category theory, graph theory and combinatorics, to more classical computational areas, such as group theory and number theory. Many of the papers in the book provide a survey of their topic, as well as a description of present research. Throughout the variety of mathematical and computational fields represented, the emphasis is placed on the common principles and the methods employed.
Audience: Students, experts, and those performing current research in any of the topics mentioned above.

Keywords

Category theory Group theory algebra algorithms automata computer computer science number theory

Editors and affiliations

  • Wieb Bosma
    • 1
  • Alf van der Poorten
    • 2
  1. 1.School of Mathematics and StatisticsUniversity of SydneySydneyAustralia
  2. 2.CeNTRe for Number Theory ResearchMacquarie UniversitySydneyAustralia

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-017-1108-1
  • Copyright Information Springer Science+Business Media B.V. 1995
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-4560-7
  • Online ISBN 978-94-017-1108-1
  • Buy this book on publisher's site