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- Podstawy analizy matematycznej. Tom 2. Rachunek całkowy, szeregi
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Skrypt jest kontynuacją materiału zawartego w tomie 1. Obejmuje dwa działy – rachunek całkowy z elementami teorii pola oraz szeregi liczbowe i funkcyjne.
Wybór i zakres materiału uwzględnia potrzeby wydziałów uczelni technicznych i ekonomicznych. W skrypcie zawarto stosunkowo dużą liczbę przykładów i zadań całkowicie rozwiązanych, ułatwiających zrozumienie materiału teoretycznego. Przeznaczony jest głównie dla studentów studiów dziennych, zaocznych i wieczorowych na tych uczelniach, gdzie matematyka nie jest przedmiotem kierunkowym.
Przedmowa 6
4. RACHUNEK CAŁKOWY 7
4.1. Całka nieoznaczona 7
4.2.Ogólna konstrukcja całki (w ujęciu riemannowskim). Rodzaje całek i ich własności 39
4.3. Obliczanie całek 54
4.4. Zastosowania całek 150
5. SZEREGI 233
5.1. Szeregi liczbowe 233
5.2. Ciągi i szeregi funkcyjne 260
5.3. Szeregi potęgowe 269
5.4. Szeregi trygonometryczne 286
Literatura 307
- Title: Podstawy analizy matematycznej. Tom 2. Rachunek całkowy, szeregi
- Author: Andrzej M. Kaczyński
- ISBN: 978-83-8156-230-0, 9788381562300
- Date of issue: 2021-10-08
- Format: Ebook
- Item ID: e_265r
- Publisher: Oficyna Wydawnicza Politechniki Warszawskiej