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## Details

Genre/Form: | Electronic books Problems and exercises Problems, exercises, etc |
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Additional Physical Format: | Print version: |

Material Type: | Document, Internet resource |

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
Alexander A Roytvarf |

ISBN: | 9780817684068 0817684069 |

OCLC Number: | 824487198 |

Description: | 1 online resource (433 pages) |

Contents: | Jacobi identities and related combinatorial formulas -- A property of recursive sequences -- A combinatorial algorithm in multiexponential analysis -- A frequently encountered determinant -- A dynamical system with a strange attractor -- Polar and singular value decomposition theorems -- 2x2 matrices that are roots of unity -- A property of orthogonal matrices -- Convexity and related classic inequalities -- One-parameter groups of linear transformations -- Some problems in combinatorics and analysis that can be explored using generating functions -- Least squares and Chebyshev systems. |

### Abstract:

## Reviews

*Editorial reviews*

Publisher Synopsis

From the reviews: "The problems are enhanced by introductory summaries, overviews of notations and definitions, historical comments, and bibliographic references. The text's sequential approach will help developing mathematicians both expand their understanding of advanced mathematics and improve their problem-solving abilities ... . Summing Up: Recommended. Upper-division undergraduates, graduate students, and researchers/faculty." (J. Johnson, Choice, Vol. 51 (2), October, 2013) "This marvelous collection of problems represents an interesting and valuable resource for students who prepare various types of mathematics contests. ... very strongly recommends this book to all undergraduate and graduate students curious about elementary mathematics. Teachers would find this book to be a welcome resource, as will contest organizers." (Teodora-Liliana Radulescu, zbMATH, Vol. 1270, 2013) Read more...

*User-contributed reviews*