माधव श्रेणी

गणित में संगमग्राम के माधव ने कई श्रेणीयाँ दीं जिन्हें लैब्नीज श्रेणी भी कहते हैं।

No.	Series	Name	Western discoverers of the series and approximate dates of discovery
1	$\sin x=x-{\frac {x^{3}}{3!}}+{\frac {x^{5}}{5!}}-{\frac {x^{7}}{7!}}+\cdots$	Madhava's sine series	Isaac Newton (1670) and Wilhelm Leibniz (1676)
2	$\cos x=1-{\frac {x^{2}}{2!}}+{\frac {x^{4}}{4!}}-{\frac {x^{6}}{6!}}+\cdots$	Madhava's cosine series	Isaac Newton (1670) and Wilhelm Leibniz (1676)
3	$\operatorname {arctg} x=x-{\frac {x^{3}}{3}}+{\frac {x^{5}}{5}}-{\frac {x^{7}}{7}}+\cdots$	Madhava's series for arctangent	James Gregory (1671) and Wilhelm Leibniz (1676)
4	${\frac {\pi }{4}}=1-{\frac {1}{3}}+{\frac {1}{5}}-{\frac {1}{7}}+\ldots$	Madhava's formula for π	James Gregory (1671) and Wilhelm Leibniz (1676)

इन्हें भी देखें

• संगमग्राम के माधव
• श्रेणी (गणित)