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Computer Simulation and Computer Algebra

Lectures for Beginners

  • Dietrich Stauffer
  • Friedrich W. Hehl
  • Nobuyasu Ito
  • Volker Winkelmann
  • John G. Zabolitzky

Table of contents

  1. Front Matter
    Pages I-X
  2. Computational Methods in Classical Physics

    1. Front Matter
      Pages 1-3
    2. Dietrich Stauffer, Friedrich W. Hehl, Nobuyasu Ito, Volker Winkelmann, John G. Zabolitzky
      Pages 5-13
    3. Dietrich Stauffer, Friedrich W. Hehl, Nobuyasu Ito, Volker Winkelmann, John G. Zabolitzky
      Pages 15-18
    4. Dietrich Stauffer, Friedrich W. Hehl, Nobuyasu Ito, Volker Winkelmann, John G. Zabolitzky
      Pages 19-35
    5. Dietrich Stauffer, Friedrich W. Hehl, Nobuyasu Ito, Volker Winkelmann, John G. Zabolitzky
      Pages 37-49
    6. Dietrich Stauffer, Friedrich W. Hehl, Nobuyasu Ito, Volker Winkelmann, John G. Zabolitzky
      Pages 51-58
    7. Dietrich Stauffer, Friedrich W. Hehl, Nobuyasu Ito, Volker Winkelmann, John G. Zabolitzky
      Pages 59-63
    8. Dietrich Stauffer, Friedrich W. Hehl, Nobuyasu Ito, Volker Winkelmann, John G. Zabolitzky
      Pages 65-65
  3. Monte Carlo Simulations in Statistical Physics

    1. Front Matter
      Pages 67-72
    2. Dietrich Stauffer, Friedrich W. Hehl, Nobuyasu Ito, Volker Winkelmann, John G. Zabolitzky
      Pages 73-77
    3. Dietrich Stauffer, Friedrich W. Hehl, Nobuyasu Ito, Volker Winkelmann, John G. Zabolitzky
      Pages 79-84
    4. Dietrich Stauffer, Friedrich W. Hehl, Nobuyasu Ito, Volker Winkelmann, John G. Zabolitzky
      Pages 85-89
    5. Dietrich Stauffer, Friedrich W. Hehl, Nobuyasu Ito, Volker Winkelmann, John G. Zabolitzky
      Pages 91-94
    6. Dietrich Stauffer, Friedrich W. Hehl, Nobuyasu Ito, Volker Winkelmann, John G. Zabolitzky
      Pages 95-98
    7. Dietrich Stauffer, Friedrich W. Hehl, Nobuyasu Ito, Volker Winkelmann, John G. Zabolitzky
      Pages 99-102
    8. Dietrich Stauffer, Friedrich W. Hehl, Nobuyasu Ito, Volker Winkelmann, John G. Zabolitzky
      Pages 103-103
    9. Dietrich Stauffer, Friedrich W. Hehl, Nobuyasu Ito, Volker Winkelmann, John G. Zabolitzky
      Pages 105-108
    10. Dietrich Stauffer, Friedrich W. Hehl, Nobuyasu Ito, Volker Winkelmann, John G. Zabolitzky
      Pages 109-109
  4. Principles of Vector and Parallel Computing

    1. Front Matter
      Pages 111-111
    2. Dietrich Stauffer, Friedrich W. Hehl, Nobuyasu Ito, Volker Winkelmann, John G. Zabolitzky
      Pages 113-116
    3. Dietrich Stauffer, Friedrich W. Hehl, Nobuyasu Ito, Volker Winkelmann, John G. Zabolitzky
      Pages 117-125
    4. Dietrich Stauffer, Friedrich W. Hehl, Nobuyasu Ito, Volker Winkelmann, John G. Zabolitzky
      Pages 127-135
    5. Dietrich Stauffer, Friedrich W. Hehl, Nobuyasu Ito, Volker Winkelmann, John G. Zabolitzky
      Pages 137-137
    6. Dietrich Stauffer, Friedrich W. Hehl, Nobuyasu Ito, Volker Winkelmann, John G. Zabolitzky
      Pages 139-144
  5. REDUCE for Beginners Seven Lectures on the Application of Computer-Algebra (CA)

    1. Front Matter
      Pages 145-149
    2. Dietrich Stauffer, Friedrich W. Hehl, Nobuyasu Ito, Volker Winkelmann, John G. Zabolitzky
      Pages 151-162
    3. Dietrich Stauffer, Friedrich W. Hehl, Nobuyasu Ito, Volker Winkelmann, John G. Zabolitzky
      Pages 163-176
    4. Dietrich Stauffer, Friedrich W. Hehl, Nobuyasu Ito, Volker Winkelmann, John G. Zabolitzky
      Pages 177-186
    5. Dietrich Stauffer, Friedrich W. Hehl, Nobuyasu Ito, Volker Winkelmann, John G. Zabolitzky
      Pages 187-197
    6. Dietrich Stauffer, Friedrich W. Hehl, Nobuyasu Ito, Volker Winkelmann, John G. Zabolitzky
      Pages 199-212
    7. Dietrich Stauffer, Friedrich W. Hehl, Nobuyasu Ito, Volker Winkelmann, John G. Zabolitzky
      Pages 213-216
    8. Dietrich Stauffer, Friedrich W. Hehl, Nobuyasu Ito, Volker Winkelmann, John G. Zabolitzky
      Pages 227-255
  6. Back Matter
    Pages 257-289

About this book

Introduction

Computer Simulation and Computer Algebra. Starting from simple examples in classical mechanics, these introductory lectures proceed to simulations in statistical physics (using FORTRAN) and then explain in detail the use of computer algebra (by means of Reduce). This third edition takes into account the most recent version of Reduce (3.4.1) and updates the description of large-scale simulations to subjects such as the 170000 X 170000 Ising model. Furthermore, an introduction to both vector and parallel computing is given.

Keywords

Algebra Computer-Algebra Monte Carlo Parallel Computing Parallele Rechner REDUCE Sage Simulations Vector Computing algorithms binomial calculus computer algebra linear algebra statistical physics

Authors and affiliations

  • Dietrich Stauffer
    • 1
  • Friedrich W. Hehl
    • 1
  • Nobuyasu Ito
    • 2
  • Volker Winkelmann
    • 3
  • John G. Zabolitzky
    • 4
  1. 1.Institut für Theoretische PhysikUniversität zu KölnKölnGermany
  2. 2.Computing and Information Systems CenterJapan Atomic Energy Research InstituteTokai, IbarakiJapan
  3. 3.Regionales RechenzentrumUniversität zu KölnKölnGermany
  4. 4.Botec EngineeringOttobrunnGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-78117-9
  • Copyright Information Springer-Verlag Berlin Heidelberg 1993
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-56530-7
  • Online ISBN 978-3-642-78117-9
  • Buy this book on publisher's site