Symbolic Asymptotics

  • John R. Shackell

Part of the Algorithms and Computation in Mathematics book series (AACIM, volume 12)

Table of contents

  1. Front Matter
    Pages I-XI
  2. John R. Shackell
    Pages 1-6
  3. John R. Shackell
    Pages 7-41
  4. John R. Shackell
    Pages 43-58
  5. John R. Shackell
    Pages 59-81
  6. John R. Shackell
    Pages 83-128
  7. John R. Shackell
    Pages 129-153
  8. John R. Shackell
    Pages 155-173
  9. John R. Shackell
    Pages 175-189
  10. John R. Shackell
    Pages 191-214
  11. John R. Shackell
    Pages 215-234
  12. Back Matter
    Pages 235-243

About this book


Symbolic asymptotics has recently undergone considerable theoretical development, especially in areas where power series are no longer an appropriate tool. Implementation is beginning to follow.

The present book, written by one of the leading specialists in the area, is currently the only one to treat this part of symbolic asymptotics. It contains a good deal of interesting material in a new, developing field of mathematics at the intersection of algebra, analysis and computing, presented in a lively and readable way. The associated areas of zero equivalence and Hardy fields are also covered.

The book is intended to be accessible to anyone with a good general background in mathematics, but it nonetheless gets right to the cutting edge of active research. Some results appear here for the first time, while others have hitherto only been given in preprints.

Due to its clear presentation, this book is interesting for a broad audience of mathematicians and theoretical computer scientists.


Computer Hardy fields algorithms asymptotics computer algebra data structures symbolic asymptotics

Authors and affiliations

  • John R. Shackell
    • 1
  1. 1.Institute of Mathematics, Statistics and Actuarial ScienceUniversity of KentCanterbury KentUK

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2004
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-05925-4
  • Online ISBN 978-3-662-10176-6
  • Series Print ISSN 1431-1550
  • Buy this book on publisher's site