Līlāvatī of Bhāskara - Revision history

Ramamurthy: Headings modified

2023-08-30T15:25:07Z

Headings modified

← Older revision		Revision as of 20:55, 30 August 2023
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	~~==Introduction==~~		Līlāvatī is Indian mathematician Bhāskara II's treatise on gaṇita-śāstra (mathematics) written in 1150. The word Līlāvatī is a feminine form of the word Līlāvat which is a taddhita formation from the word Līlā. The word Līlā denotes many meanings such as 'play, sport, amusement' and also 'charm, grace, beauty etc. The latter meanings viz. 'charm, grace, beauty' etc. are more suitable in the present context since it is feminine; and the derivative Lilavatī will mean one 'possessed of charm, grace or beauty' etc.
	Līlāvatī is Indian mathematician Bhāskara II's treatise on gaṇita-śāstra (mathematics) written in 1150. The word Līlāvatī is a feminine form of the word Līlāvat which is a taddhita formation from the word Līlā. The word Līlā denotes many meanings such as 'play, sport, amusement' and also 'charm, grace, beauty etc. The latter meanings viz. 'charm, grace, beauty' etc. are more suitable in the present context since it is feminine; and the derivative Lilavatī will mean one 'possessed of charm, grace or beauty' etc. Līlāvatī is the first part of Bhaskarācārya's work on Siddhāntaśiromaṇi. Siddhāntaśiromaṇi consists of four parts which are 1. Līlāvatī, 2. Bījagaṇita, 3.Gaṇitādhyāya and 4. Golādhyāya. This is depicted in the below table<ref>{{Cite book\|last=Pandit\|first=M.D\|title=Līlāvatī Of Bhaskarācārya Part I\|location=Pune\|pages=9}}</ref>.
			== About Līlāvatī ==
			Līlāvatī is the first part of Bhaskarācārya's work on Siddhāntaśiromaṇi. Siddhāntaśiromaṇi consists of four parts which are 1. Līlāvatī, 2. Bījagaṇita, 3.Gaṇitādhyāya and 4. Golādhyāya. This is depicted in the below table<ref>{{Cite book\|last=Pandit\|first=M.D\|title=Līlāvatī Of Bhaskarācārya Part I\|location=Pune\|pages=9}}</ref>.
	{\| class="wikitable"		{\| class="wikitable"
	\|+		\|+

Ramamurthy: Category updated

2023-08-16T12:53:17Z

Category updated

← Older revision		Revision as of 18:23, 16 August 2023
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	<references />		<references />
	[[Category:Mathematics in Līlāvatī]]		[[Category:Mathematics in Līlāvatī]]
			[[Category:General]]

Ramamurthy at 05:34, 25 June 2023

2023-06-25T05:34:53Z

← Older revision		Revision as of 11:04, 25 June 2023
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	==Introduction==		==Introduction==
	Līlāvatī is Indian mathematician ~~[https://alpha.indicwiki.in/index.php?title=Bh%C4%81skara_II~~ Bhāskara II]'s treatise on gaṇita-śāstra (mathematics) written in 1150. The word Līlāvatī is a feminine form of the word Līlāvat which is a taddhita formation from the word Līlā. The word Līlā denotes many meanings such as 'play, sport, amusement' and also 'charm, grace, beauty etc. The latter meanings viz. 'charm, grace, beauty' etc. are more suitable in the present context since it is feminine; and the derivative Lilavatī will mean one 'possessed of charm, grace or beauty' etc. Līlāvatī is the first part of Bhaskarācārya's work on Siddhāntaśiromaṇi. Siddhāntaśiromaṇi consists of four parts which are 1. Līlāvatī, 2. Bījagaṇita, 3.Gaṇitādhyāya and 4. Golādhyāya. This is depicted in the below table<ref>{{Cite book\|last=Pandit\|first=M.D\|title=Līlāvatī Of Bhaskarācārya Part I\|location=Pune\|pages=9}}</ref>.		Līlāvatī is Indian mathematician Bhāskara II's treatise on gaṇita-śāstra (mathematics) written in 1150. The word Līlāvatī is a feminine form of the word Līlāvat which is a taddhita formation from the word Līlā. The word Līlā denotes many meanings such as 'play, sport, amusement' and also 'charm, grace, beauty etc. The latter meanings viz. 'charm, grace, beauty' etc. are more suitable in the present context since it is feminine; and the derivative Lilavatī will mean one 'possessed of charm, grace or beauty' etc. Līlāvatī is the first part of Bhaskarācārya's work on Siddhāntaśiromaṇi. Siddhāntaśiromaṇi consists of four parts which are 1. Līlāvatī, 2. Bījagaṇita, 3.Gaṇitādhyāya and 4. Golādhyāya. This is depicted in the below table<ref>{{Cite book\|last=Pandit\|first=M.D\|title=Līlāvatī Of Bhaskarācārya Part I\|location=Pune\|pages=9}}</ref>.
	{\| class="wikitable"		{\| class="wikitable"
	\|+		\|+
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	\|}Vyaktagaṇita is also called as Pāṭīgaṇita or Aṅkagaṇita.		\|}Vyaktagaṇita is also called as Pāṭīgaṇita or Aṅkagaṇita.

	Līlāvatī has an interesting story associated with how it got its name. Bhaskarācārya created a horoscope for his daughter Līlāvatī , stating exactly when she needed to get married. He placed a cup with a small hole in it in a tub of water, and the time at which the cup sank was the optimum time Līlāvatī was to get married. Unfortunately, a pearl fell into the cup, blocking the hole and keeping it from sinking. Līlāvatī was then doomed never to wed, and her father ~~[https://alpha.indicwiki.in/index.php?title=Bh%C4%81skara_II~~ Bhāskara] wrote her a manual on mathematics in order to console her, and named it Līlāvatī . This appears to be a myth associated with this classical work.		Līlāvatī has an interesting story associated with how it got its name. Bhaskarācārya created a horoscope for his daughter Līlāvatī , stating exactly when she needed to get married. He placed a cup with a small hole in it in a tub of water, and the time at which the cup sank was the optimum time Līlāvatī was to get married. Unfortunately, a pearl fell into the cup, blocking the hole and keeping it from sinking. Līlāvatī was then doomed never to wed, and her father Bhāskara wrote her a manual on mathematics in order to console her, and named it Līlāvatī . This appears to be a myth associated with this classical work.
	==Literary qualities of the text==		==Literary qualities of the text==
	The text of Līlāvatī is composed in verse and not in prose, as has been the practice of the ancient Indian Sanskrit scientists. The only motive behind the text to be in verse is , the knowledge was handed down orally, poetry proved to be of great value and convenience in oral traditions. In spite of the dry and purely theoretical nature of the science of mathematics, Bhaskarācārya seems to have tried to bring as much literary charm in his compositions as possible, and his versification does exhibit certain literary qualities and merits.		The text of Līlāvatī is composed in verse and not in prose, as has been the practice of the ancient Indian Sanskrit scientists. The only motive behind the text to be in verse is , the knowledge was handed down orally, poetry proved to be of great value and convenience in oral traditions. In spite of the dry and purely theoretical nature of the science of mathematics, Bhaskarācārya seems to have tried to bring as much literary charm in his compositions as possible, and his versification does exhibit certain literary qualities and merits.

Ramamurthy: Category updated

2023-06-22T10:40:25Z

Category updated

← Older revision		Revision as of 16:10, 22 June 2023
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	~~[[Category:Mathematics]]~~
	~~[[Category:Līlāvatī]]~~
	==Introduction==		==Introduction==
	Līlāvatī is Indian mathematician [https://alpha.indicwiki.in/index.php?title=Bh%C4%81skara_II Bhāskara II]'s treatise on gaṇita-śāstra (mathematics) written in 1150. The word Līlāvatī is a feminine form of the word Līlāvat which is a taddhita formation from the word Līlā. The word Līlā denotes many meanings such as 'play, sport, amusement' and also 'charm, grace, beauty etc. The latter meanings viz. 'charm, grace, beauty' etc. are more suitable in the present context since it is feminine; and the derivative Lilavatī will mean one 'possessed of charm, grace or beauty' etc. Līlāvatī is the first part of Bhaskarācārya's work on Siddhāntaśiromaṇi. Siddhāntaśiromaṇi consists of four parts which are 1. Līlāvatī, 2. Bījagaṇita, 3.Gaṇitādhyāya and 4. Golādhyāya. This is depicted in the below table<ref>{{Cite book\|last=Pandit\|first=M.D\|title=Līlāvatī Of Bhaskarācārya Part I\|location=Pune\|pages=9}}</ref>.		Līlāvatī is Indian mathematician [https://alpha.indicwiki.in/index.php?title=Bh%C4%81skara_II Bhāskara II]'s treatise on gaṇita-śāstra (mathematics) written in 1150. The word Līlāvatī is a feminine form of the word Līlāvat which is a taddhita formation from the word Līlā. The word Līlā denotes many meanings such as 'play, sport, amusement' and also 'charm, grace, beauty etc. The latter meanings viz. 'charm, grace, beauty' etc. are more suitable in the present context since it is feminine; and the derivative Lilavatī will mean one 'possessed of charm, grace or beauty' etc. Līlāvatī is the first part of Bhaskarācārya's work on Siddhāntaśiromaṇi. Siddhāntaśiromaṇi consists of four parts which are 1. Līlāvatī, 2. Bījagaṇita, 3.Gaṇitādhyāya and 4. Golādhyāya. This is depicted in the below table<ref>{{Cite book\|last=Pandit\|first=M.D\|title=Līlāvatī Of Bhaskarācārya Part I\|location=Pune\|pages=9}}</ref>.
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	==References==		==References==
	<references />		<references />
			[[Category:Mathematics in Līlāvatī]]

Mani: updated Redirecting link to the Hindi Page

2023-05-19T04:01:27Z

updated Redirecting link to the Hindi Page

← Older revision		Revision as of 09:31, 19 May 2023
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	Lilavati mainly deals with ‘Arithmetic’ in today’s mathematical parlance. It consists of 279 verses written in Sanskrit in poetic form. There are certain verses which deal with Mensuration (measurement of various geometrical objects), Volume of pyramid, cylinders, heaps of grains etc., wood cutting, shadows, trigonometric relations and also on certain elements of Algebra such as finding an unknown quantity subject to certain constraints using the method of supposition.		Lilavati mainly deals with ‘Arithmetic’ in today’s mathematical parlance. It consists of 279 verses written in Sanskrit in poetic form. There are certain verses which deal with Mensuration (measurement of various geometrical objects), Volume of pyramid, cylinders, heaps of grains etc., wood cutting, shadows, trigonometric relations and also on certain elements of Algebra such as finding an unknown quantity subject to certain constraints using the method of supposition.
	==See Also==		==See Also==
	[~~https://alpha.indicwiki.in/index.php?title=%E0%A4%AD%E0%A4%BE%E0%A4%B8%E0%A5%8D%E0%A4%95%E0%A4%B0_%E0%A4%95%E0%A5%80_%27%E0%A4%B2%E0%A5%80%E0%A4%B2%E0%A4%BE%E0%A4%B5%E0%A4%A4%E0%A5%80%27~~ भास्कर की 'लीलावती']		[[भास्कर की 'लीलावती']]
	==References==		==References==
	<references />		<references />

Ramamurthy at 03:15, 17 May 2023

2023-05-17T03:15:29Z

← Older revision		Revision as of 08:45, 17 May 2023
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	[[Category:Mathematics]]		[[Category:Mathematics]]
	[[Category:Līlāvatī]]		[[Category:Līlāvatī]]
			==Introduction==
			Līlāvatī is Indian mathematician [https://alpha.indicwiki.in/index.php?title=Bh%C4%81skara_II Bhāskara II]'s treatise on gaṇita-śāstra (mathematics) written in 1150. The word Līlāvatī is a feminine form of the word Līlāvat which is a taddhita formation from the word Līlā. The word Līlā denotes many meanings such as 'play, sport, amusement' and also 'charm, grace, beauty etc. The latter meanings viz. 'charm, grace, beauty' etc. are more suitable in the present context since it is feminine; and the derivative Lilavatī will mean one 'possessed of charm, grace or beauty' etc. Līlāvatī is the first part of Bhaskarācārya's work on Siddhāntaśiromaṇi. Siddhāntaśiromaṇi consists of four parts which are 1. Līlāvatī, 2. Bījagaṇita, 3.Gaṇitādhyāya and 4. Golādhyāya. This is depicted in the below table<ref>{{Cite book\|last=Pandit\|first=M.D\|title=Līlāvatī Of Bhaskarācārya Part I\|location=Pune\|pages=9}}</ref>.
			{\| class="wikitable"
			\|+
			\| colspan="5" align="center" \|'''Gaṇita'''
			\|-
			\|'''Applied Mathematics'''
			'''(Applied to Astronomy)'''
			\| rowspan="3" \|
			\| colspan="3" align="center" \|'''Pure Mathematics'''
			\|-
			\|Gaṇitādhyāya
			\|Vyaktagaṇita
			(Līlāvatī)
			\|
			\|Avyaktagaṇita
			(Bījagaṇita)
			\|-
			\|Golādhyāya
			\|
			\|
			\|
			\|}Vyaktagaṇita is also called as Pāṭīgaṇita or Aṅkagaṇita.

			Līlāvatī has an interesting story associated with how it got its name. Bhaskarācārya created a horoscope for his daughter Līlāvatī , stating exactly when she needed to get married. He placed a cup with a small hole in it in a tub of water, and the time at which the cup sank was the optimum time Līlāvatī was to get married. Unfortunately, a pearl fell into the cup, blocking the hole and keeping it from sinking. Līlāvatī was then doomed never to wed, and her father [https://alpha.indicwiki.in/index.php?title=Bh%C4%81skara_II Bhāskara] wrote her a manual on mathematics in order to console her, and named it Līlāvatī . This appears to be a myth associated with this classical work.
			==Literary qualities of the text==
			The text of Līlāvatī is composed in verse and not in prose, as has been the practice of the ancient Indian Sanskrit scientists. The only motive behind the text to be in verse is , the knowledge was handed down orally, poetry proved to be of great value and convenience in oral traditions. In spite of the dry and purely theoretical nature of the science of mathematics, Bhaskarācārya seems to have tried to bring as much literary charm in his compositions as possible, and his versification does exhibit certain literary qualities and merits.
			==Contents of Līlāvatī==
			Lilavati mainly deals with ‘Arithmetic’ in today’s mathematical parlance. It consists of 279 verses written in Sanskrit in poetic form. There are certain verses which deal with Mensuration (measurement of various geometrical objects), Volume of pyramid, cylinders, heaps of grains etc., wood cutting, shadows, trigonometric relations and also on certain elements of Algebra such as finding an unknown quantity subject to certain constraints using the method of supposition.
			==See Also==
			[https://alpha.indicwiki.in/index.php?title=%E0%A4%AD%E0%A4%BE%E0%A4%B8%E0%A5%8D%E0%A4%95%E0%A4%B0_%E0%A4%95%E0%A5%80_%27%E0%A4%B2%E0%A5%80%E0%A4%B2%E0%A4%BE%E0%A4%B5%E0%A4%A4%E0%A5%80%27 भास्कर की 'लीलावती']
			==References==
			<references />

Ramamurthy: New Page created

2023-05-17T03:13:35Z

New Page created

New page

[[Category:Mathematics]]
[[Category:Līlāvatī]]