Faculty of Mathematics and Computer Science

Basic notions in mathematical analysis |

Code |
Semes-ter |
Hours: C+S+L |
Credits |
Type |
Section |

Teaching Staff in Charge |

Prof. KOLUMBÁN Iosif, Ph.D., kolumban@math.ubbcluj.ro |

Aims |

Presentation of the origin and development of the main concepts in mathematical analysis. |

Content |

In the framework of this course the introduction and development during the hystory of the following concepts are presented: real number, convergent sequence, convergent sery, uniform convergence, continuity, uniform continuity, derivability, integrability, functions with bounded variation, the lenght of a curve, the area of surfaces, the volume of bodies, Fourier series. We analyse practical problems comming from geometry and physics which lead to the introduction of these notions. |

References |

1. Balazs Marton, Kolumban Jozsef: Matematikai analizis, Editura Dacia, 1978.
2. W. Walter: Mathematische Analysis, I-II, Springer Verlag, 1990. |

Assessment |

Exam. |