Author | Shackell, John R. author |
---|---|

Title | Symbolic Asymptotics [electronic resource] / by John R. Shackell |

Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2004 |

Connect to | http://dx.doi.org/10.1007/978-3-662-10176-6 |

Descript | XI, 243 p. online resource |

SUMMARY

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

CONTENT

Zero Equivalence -- Hardy Fields -- Output Data Structures -- Algorithms for Function Towers -- Algebraic Differential Equations -- Inverse Functions -- Implicit Functions -- Star-Product Expansions -- Oscillating Functions -- References

Mathematics
Computer science -- Mathematics
Mathematical analysis
Analysis (Mathematics)
Approximation theory
Algorithms
Mathematical models
Mathematics
Mathematical Modeling and Industrial Mathematics
Algorithms
Analysis
Symbolic and Algebraic Manipulation
Mathematics of Computing
Approximations and Expansions