Boston, MA: Birkhäuser (ISBN 978-0-8176-4482-6/pbk; 978-0-8176-4586-1/ebook). xv, 484 p. (2007).

The book is the third one of the author devoted to the application of modern computer algebra packages to study nonlinear dynamical systems. The previous two were devoted to the use of packages MAPLE [S. Lynch, Dynamical systems with applications using MAPLE. Boston, MA: Birkhäuser (2001; Zbl 0964.37001)] and MATLAB [Dynamical systems with applications using MATLAB. Boston, MA: Birkhäuser (2004; Zbl 1066.37001)] for this purpose. Like the other two books this one provides an introduction to the theory of dynamical systems by means of Mathematica package. The structure of the book has been slightly changed, and recently published research material has been added. Every chapter contains some exercises which illustrate the package possibilities when solving certain problems of dynamical systems as well as their applications to many fields of science and engineering.

Reviewer: Alexander Grin (Grodno)

##### MSC:

37-01 | Introductory exposition (textbooks, tutorial papers, etc.) pertaining to dynamical systems and ergodic theory |

65-01 | Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis |

68-01 | Introductory exposition (textbooks, tutorial papers, etc.) pertaining to computer science |

34Cxx | Qualitative theory for ordinary differential equations |

37Cxx | Smooth dynamical systems: general theory |

65Y15 | Packaged methods for numerical algorithms |

68W30 | Symbolic computation and algebraic computation |