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## Details

Genre/Form: | Problems and exercises Problems, exercises, etc |
---|---|

Document Type: | Book |

All Authors / Contributors: |
O A Ivanov; Robert G Burns |

ISBN: | 9780883856512 0883856514 |

OCLC Number: | 967820964 |

Notes: | Includes index. |

Description: | xiv, 304 pages : illustrations ; 23 cm. |

Contents: | Surprising and easy. Surprising right triangles -- Surprisingly short solutions of geometric problems -- A natural assertion with a surprising proof -- Surprising answers -- A surprising connection between three sequences -- Algebra, calculus, and geometry: problems. Five problems and a function -- Five solutions of a routine problem -- Equations of the form f (x, y) = g (x, y) and their generalizations -- The generalized version of Viète's formula -- Multiple roots of polynomials -- Non-routine applications of the derivative -- Complex numbers, polynomials, and trigonometry -- Complex numbers and geometry -- Areas of triangles and quadrilaterals -- Constructions in solid geometry -- Inequalities -- Diophantine equations -- Combinatorial tales -- Integrals -- Algebra, calculus, and geometry: theory (a little way beyond high school mathematics). Functional equations off elementary functions -- Sequences given by recurrence relations -- The "golden ratio" of solving equations of the form f (x) = x -- Convex functions: inequalities and approximations -- Taylor's formula, Euler's formula, and a combinatorial problem -- Derivatives and vector-functions -- Polynomials and trigonometric relations -- Areas and volumes as functions of co-ordinates -- Values of trigonometric functions and sequences satisfying a certain recurrence relation -- Do there exist further "numbers" beyond complex numbers? -- Solutions to supplementary problems. |

Series Title: | Anneli Lax new mathematical library, 47. |

Other Titles: | Matematika 10-11. |

Responsibility: | Oleg A. Ivanov, St. Petersburg State University ; translated by Robert G. Burns. |

### Abstract:

A collection of puzzles and problems mostly on topics relating to secondary mathematics. The problems and topics are fresh and interesting and frequently surprising. The book is organised into 29 themes, each a topic from algebra, geometry or calculus and each launched from an opening puzzle or problem. There are also excursions into number theory, solid geometry, physics and combinatorics.
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- Wabash_2017 Summer_Books Added(258 items)
by wabashbooks updated 2018-01-03