## Complex Numbers and Vectorsâ??To have the courage to think outside the square, we need to be intrigued by a problem.â?? Complex Numbers and Vectors draws on the power of intrigue and uses appealing applications from navigation, global positioning systems, earthquakes, circus acts and stories from mathematical history to explain the mathematics of vectors and the discoveries in complex numbers. The first part of Complex Numbers and Vectors provides teachers with background material, ideas and teaching approaches to complex numbers; models for complex numbers and their geometric and algebraic properties; their role in providing completeness with respect to the solution of polynomial equations of a single complex variable (the fundamental theorem of algebra); the specification of curves and regions in the complex plane; and simple transformations of the complex plane. The second part of this resource provides an introduction to vectors and vector spaces, including matrix representation; covers vectors in two- and three-dimensions; their application to specification of curves; vector calculus and their elementary application to geometric proof. Technology has been used throughout the text to construct images of curves, graphs and two and three dimensional shapes. |

### Mnenja - Napišite recenzijo

Na običajnih mestih nismo našli nobenih recenzij.

### Vsebina

3 | 20 |

4 | 34 |

Contents | 49 |

6 | 62 |

7 | 82 |

Sailing against the wind | 94 |

Parallel and perpendicular components for P | 101 |

9 | 110 |

Its | 123 |

### Pogosti izrazi in povedi

Argand diagram ball boundary calculations Cardano cartesian equation complex numbers complex plane complex variable components computer algebra systems conjugate consider coordinate lines cross product cubic equations cubic polynomial equations curriculum define direction distance dot product explore expressed factors Figure fleet Fontano functions Fundamental Theorem g g g Gauss Gaussian integers Gaussian primes geometry graph human cannonball Im(z intersection linear magnitude Mathematicians can read matrix method navigation negative number number line Numbers and Vectors operating with complex ordinary prime parametric equations path perpendicular Plotting a course polar form possible prime numbers problem proof Pythagoreans qq qq quadratic Re(z real number realise represent representation result satellite scalar product senior secondary mathematics ship solving cubic square root STUDENT ACTIVITY Theorem of Algebra triangle unit vector vector calculus velocity visualise Websites whole numbers x-axis xiy xiy zero zxiy