## Mathematical Connections: A Companion for Teachers and OthersThis book is about some of the topics that form the foundations for high school mathematics. It focuses on a closely-knit collection of ideas that are at the intersection of algebra, arithmetic, combinatorics, geometry, and calculus. Most of the ideas are classical: methods for fitting polynomial functions to data, for summing powers of integers, for visualizing the iterates of a function defined on the complex plane, or for obtaining identities among entries in Pascal's triangle. Some of these ideas, previously considered quite advanced, have become tractable because of advances in computational technology. Others are just beautiful classical mathematics, topics that have fallen out of fashion and that deserve to be resurrected. Most importantly, the book is about some mathematical ways of thinking the author found extremely useful, both in his roles as a mathematician and as a mentor of young people learning to do mathematics. |

### Mnenja - Napišite recenzijo

Na običajnih mestih nismo našli nobenih recenzij.

### Vsebina

Difference Tables and Polynomial Fits | 1 |

The Algebra of Polynomials | 53 |

Complex Numbers Complex Maps and Trigonometry | 101 |

Combinations and Locks | 161 |

Sums of Powers | 199 |

235 | |

### Druge izdaje - Prikaži vse

### Pogosti izrazi in povedi

agrees algebra am,k angle binomial buttons calculate called Chapter coefficients column combinations combinatorial complex numbers connected constant Corollary count course cubic defined definition derivative Describe develop difference difference table elements entries equal equation exactly example expanded expression f and g fact factor filled Julia set five formula give given graph high school ideas identity Input Output integer least length linear lock look mathematics means method multiply Notes for problem Notice obtained orbit origin Pascal's triangle pick picture plane points polynomial function polynomial of degree positive integer powers produce proof prove push quadratic replace result roots rule Show side Sm(x solve squares starting subsets Suppose teachers Theorem there's things true values we'll write zeros