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Êîìïüþòåðíàÿ àëãåáðà â ïðîãðàììå Mathematica 5

Ìàòåìàòèêà, àëãåáðà, ëîãèêà. Êîí àþò âíóòðü êðåìïàé. Àëãåáðà è ïàêåò Mathematica 5. Ñ äàâíèõ âðåìåí åëîâåê ìå òàë î ìàøèíå, êîòîðàÿ ìîãëà áû âûïîëíÿòü âû èñëåíèÿ. Îäíàêî òî çíà èò âû èñëÿòü! Âïðî åì, â ñàìîì ïîíÿòèè íàó íûå âû èñëåíèÿ âñåãäà áûëà äâóñìûñëåííîñòü: ïðåæäå åì íà ñöåíå ïîÿâèëñÿ êîìïüþòåð, âû èñëåíèÿ ïðåäñòàâëÿëè ñìåñü èñëåííîãî ñ åòà ñ òåì, òî ìíîãèå íàçûâàþò àëãåáðàè åñêèìè âû èñëåíèÿìè, ò.å. ñ îïåðàöèÿìè íàä ìàòåìàòè åñêèìè ôîðìóëàìè. Ãëàâà 1. Èñòîðè åñêèé îáçîð è ïåðâîå çíàêîìñòâî. Êîãäà ...

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Êîìïüþòåðíàÿ àëãåáðà â ïðîãðàììå Mathematica 5 | mathematica5.ru Reviews
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Ìàòåìàòèêà, àëãåáðà, ëîãèêà. Êîí àþò âíóòðü êðåìïàé. Àëãåáðà è ïàêåò Mathematica 5. Ñ äàâíèõ âðåìåí åëîâåê ìå òàë î ìàøèíå, êîòîðàÿ ìîãëà áû âûïîëíÿòü âû èñëåíèÿ. Îäíàêî òî çíà èò âû èñëÿòü! Âïðî åì, â ñàìîì ïîíÿòèè íàó íûå âû èñëåíèÿ âñåãäà áûëà äâóñìûñëåííîñòü: ïðåæäå åì íà ñöåíå ïîÿâèëñÿ êîìïüþòåð, âû èñëåíèÿ ïðåäñòàâëÿëè ñìåñü èñëåííîãî ñ åòà ñ òåì, òî ìíîãèå íàçûâàþò àëãåáðàè åñêèìè âû èñëåíèÿìè, ò.å. ñ îïåðàöèÿìè íàä ìàòåìàòè åñêèìè ôîðìóëàìè. Ãëàâà 1. Èñòîðè åñêèé îáçîð è ïåðâîå çíàêîìñòâî. Êîãäà ...
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Êîìïüþòåðíàÿ àëãåáðà â ïðîãðàììå Mathematica 5 | mathematica5.ru Reviews

https://mathematica5.ru

Ìàòåìàòèêà, àëãåáðà, ëîãèêà. Êîí àþò âíóòðü êðåìïàé. Àëãåáðà è ïàêåò Mathematica 5. Ñ äàâíèõ âðåìåí åëîâåê ìå òàë î ìàøèíå, êîòîðàÿ ìîãëà áû âûïîëíÿòü âû èñëåíèÿ. Îäíàêî òî çíà èò âû èñëÿòü! Âïðî åì, â ñàìîì ïîíÿòèè íàó íûå âû èñëåíèÿ âñåãäà áûëà äâóñìûñëåííîñòü: ïðåæäå åì íà ñöåíå ïîÿâèëñÿ êîìïüþòåð, âû èñëåíèÿ ïðåäñòàâëÿëè ñìåñü èñëåííîãî ñ åòà ñ òåì, òî ìíîãèå íàçûâàþò àëãåáðàè åñêèìè âû èñëåíèÿìè, ò.å. ñ îïåðàöèÿìè íàä ìàòåìàòè åñêèìè ôîðìóëàìè. Ãëàâà 1. Èñòîðè åñêèé îáçîð è ïåðâîå çíàêîìñòâî. Êîãäà ...

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1

Ôóíêöèè

http://www.mathematica5.ru/m02/Index03.htm

Àëãåáðà è ïàêåò Mathematica 5. Â ñèñòåìå Mathematica èìååòñÿ ìíîæåñòâî ìàòåìàòè åñêèõ ôóíêöèé, èõ èìåíà âïîëíå åñòåñòâåííû, çà òåì èñêëþ åíèåì, òî èìåíà âñåõ âñòðîåííûõ ôóíêöèé íà èíàþòñÿ ñ ïðîïèñíîé áóêâû. Êðîìå òîãî, íå çàáûâàéòå, òî àðãóìåíòû ôóíêöèé çàêëþ àþòñÿ â êâàäðàòíûå ñêîáêè. Íó, è, êîíå íî æå, ïîìíèòå î òîì, òî çäåñü òðèãîíîìåòðè åñêèå ôóíêöèè íàçûâàþòñÿ òàê, êàê ê ýòîìó ïðèâûêëè àìåðèêàíöû: íàïðèìåð, âìåñòî ïðèâû íîãî äëÿ íàñ tg. Òàíãåíñà) â ñèñòåìå Mathematica óêàçûâàåòñÿ Tan. Íî ïðåæäå åì ï...

2

Îòëè÷èÿ ñèñòåì êîìïüþòåðíîé àëãåáðûîò òðàäèöèîííûõ ñèñòåì ïðîãðàììèðîâàíèÿ

http://www.mathematica5.ru/m01/Index02.htm

Àëãåáðà è ïàêåò Mathematica 5. Îòëè èÿ ñèñòåì êîìïüþòåðíîé àëãåáðû îò òðàäèöèîííûõ ñèñòåì ïðîãðàììèðîâàíèÿ. Òàê òî ñèíòàêñè åñêèå òîíêîñòè îáû íî ëåãêî îñâàèâàþòñÿ â ïðîöåññå ðàáîòû. Ïðàâäà, â ñâÿçè ñ òåì, òî ñ ïîìîùüþ òàêèõ ñèñòåì àñòî ðåøàþòñÿ èññëåäîâàòåëüñêèå çàäà è, ãäå çàðàíåå íåèçâåñòåí äàæå ïðèáëèçèòåëüíûé ïîðÿäîê îòâåòà, èíîãäà ïðèõîäèòñÿ ðàçáèðàòüñÿ, êàê ïðåäñòàâëÿþòñÿ è îáðàáàòûâàþòñÿ äàííûå.

3

Îïèñàíèå íåêîòîðûõ ñòàíäàðòíûõ ïàêåòîâ Mathematica

http://www.mathematica5.ru/m01/Index10.htm

Àëãåáðà è ïàêåò Mathematica 5. Îïèñàíèå íåêîòîðûõ ñòàíäàðòíûõ ïàêåòîâ Mathematica. Íèæå îïèñàíû âàæíåéøèå ôóíêöèè íàèáîëåå àñòî èñïîëüçóåìûõ ïàêåòîâ ñèñòåìû Mathematica. Ýòîò ïàêåò ñîäåðæèò äîïîëíèòåëüíûå òîæäåñòâà è ôóíêöèè äëÿ ðàáîòû ñ êîìïëåêñíûìè èñëàìè è ôóíêöèÿìè. Â ýòîì ïàêåòå ñîäåðæèòñÿ íàáîð ôóíêöèé äëÿ èñëåííîãî ïðåîáðàçîâàíèÿ Ôóðüå. (Àíàëèòè åñêèå ïðåîáðàçîâàíèÿ Ôóðüå âûïîëíÿåò ÿäðî.). Çäåñü èìååòñÿ óñîâåðøåíñòâîâàííàÿ ôóíêöèÿ Limit. Â ýòîì ïàêåòå îïðåäåëåíû ôóíêöèè äëÿ âðàùåíèÿ âåêòîðîâ â äâó...

4

Êòî èñïîëüçóåò ñèñòåìó Mathematica

http://www.mathematica5.ru/m01/Index07.htm

Àëãåáðà è ïàêåò Mathematica 5. Êòî èñïîëüçóåò ñèñòåìó Mathematica. Îñíîâíàÿ àñòü ïîëüçîâàòåëåé ñèñòåìû Mathematica ñîñòîèò èç ïðîôåññèîíàëîâ. Íî Mathematica òàêæå øèðîêî èñïîëüçóåòñÿ â îáðàçîâàíèè; ñóùåñòâóåò íåñêîëüêî ñîòåí êóðñîâ äëÿ âûñøåé è ñðåäíåé øêîëû, îñíîâàííûõ íà íåé. Ñ ïîÿâëåíèåì ñòóäåí åñêîé âåðñèè ñèñòåìû, Mathematica ñòàëà âàæíûì èíñòðóìåíòîì äëÿ ñòóäåíòîâ ïî âñåìó ìèðó. Êðîìå òîãî, îíà ÿâëÿåòñÿ ñòàíäàðòîì äëÿ ìíîæåñòâà îðãàíèçàöèé è êðóïíåéøèõ óíèâåðñèòåòîâ ìèðà.

5

Ïîñòðîåíèå ãðàôèêîâ

http://www.mathematica5.ru/m02/Index06.htm

Àëãåáðà è ïàêåò Mathematica 5. Ñèñòåìà Mathematica áîãàòà ãðàôè åñêèìè âîçìîæíîñòÿìè. Ðàññìîòðèì íà ïðèìåðàõ ïîñòðîåíèå õîòÿ áû íåêîòîðûõ, íàèáîëåå àñòî âñòðå àþùèõñÿ òèïîâ ãðàôèêîâ.

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