Computer Algebra

Symbolic and Algebraic Computation

  • Bruno Buchberger
  • George Edwin Collins
  • Rüdiger Loos
  • Rudolf Albrecht

Part of the Computing Supplementa book series (COMPUTING, volume 4)

Table of contents

  1. Front Matter
    Pages I-VII
  2. R. Loos
    Pages 1-10
  3. B. Buchberger, R. Loos
    Pages 11-43
  4. A. C. Norman
    Pages 57-69
  5. J. C. Lafon
    Pages 71-77
  6. G. E. Collins, R. Loos
    Pages 83-94
  7. E. Kaltofen
    Pages 95-113
  8. M. Lauer
    Pages 139-168
  9. A. C. Norman
    Pages 169-172
  10. R. Loos
    Pages 173-187
  11. G. E. Collins, M. Mignotte, F. Winkler
    Pages 189-220
  12. J. A. van Hulzen, J. Calmet
    Pages 221-243
  13. J. Calmet, J. A. van Hulzen
    Pages 245-258
  14. M. Mignotte
    Pages 259-263
  15. Back Matter
    Pages 265-284

About this book

Introduction

this gap. In sixteen survey articles the most important theoretical results, algorithms and software methods of computer algebra are covered, together with systematic references to literature. In addition, some new results are presented. Thus the volume should be a valuable source for obtaining a first impression of computer algebra, as well as for preparing a computer algebra course or for complementary reading. The preparation of some papers contained in this volume has been supported by grants from the Austrian "Fonds zur Forderung der wissenschaftlichen For­ schung" (Project No. 3877), the Austrian Ministry of Science and Research (Department 12, Dr. S. Hollinger), the United States National Science Foundation (Grant MCS-8009357) and the Deutsche Forschungsgemeinschaft (Lo-23 1-2). The work on the volume was greatly facilitated by the opportunity for the editors to stay as visitors at the Department of Computer and Information Sciences, University of Delaware, at the General Electric Company Research and Development Center, Schenectady, N. Y. , and at the Mathematical Sciences Department, Rensselaer Polytechnic Institute, Troy, N. Y. , respectively. Our thanks go to all these institutions. The patient and experienced guidance and collaboration of the Springer-Verlag Wien during all the stages of production are warmly appreciated. The editors of the Cooperative editor of Supplementum Computing B. Buchberger R. Albrecht G. Collins R. Loos Contents Loos, R. : Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . 1 Buchberger, B. , Loos, R. : Algebraic Simplification . . . . . . . . . . 11 Neubiiser, J. : Computing with Groups and Their Character Tables. 45 Norman, A. C. : Integration in Finite Terms. . . . . . . . . . . . . .

Keywords

Extension Ringe algebra computer algebra computeralgebra

Editors and affiliations

  • Bruno Buchberger
    • 1
  • George Edwin Collins
    • 2
  • Rüdiger Loos
    • 3
  • Rudolf Albrecht
    • 4
  1. 1.Institut für MathematikJohannes Kepler UniversitätLinzAustria
  2. 2.Computer Science DepartmentUniversity of Wisconsin-MadisonMadisonUSA
  3. 3.Institut für Informatik IUniversität KarlsruheFederal Republic of Germany
  4. 4.Institut für Informatik und Numerische MathematikUniversität InnsbruckAustria

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-7091-7551-4
  • Copyright Information Springer-Verlag Vienna 1983
  • Publisher Name Springer, Vienna
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-211-81776-6
  • Online ISBN 978-3-7091-7551-4
  • Series Print ISSN 0344-8029
  • About this book