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{{HistoryOfSouthAsia}}
{{HistoryOfSouthAsia}}
{{Science and technology in India}}
{{Science and technology in India}}
The '''history of science and technology in the Indian subcontinent''' begins with the [[Prehistoric India|prehistoric human activity]] of the [[Indus Valley Civilisation|Indus Valley Civilization]] to the early Indian states and empires.<ref>{{Cite web |url=http://www.assemblage.group.shef.ac.uk/issue7/chauhan.html#distribution |title=Distribution of Acheulian sites in the Siwalik region |access-date=2015-11-16 |archive-url=https://web.archive.org/web/20120104171240/http://www.assemblage.group.shef.ac.uk/issue7/chauhan.html#distribution |archive-date=2012-01-04 |url-status=dead }}</ref>
The '''history of science and technology in the Indian subcontinent''' begins with the [[Prehistoric India|prehistoric human activity]] of the [[Indus Valley civilisation|Indus Valley Civilization]] to the early Indian states and empires.<ref>{{Cite web |url=http://www.assemblage.group.shef.ac.uk/issue7/chauhan.html#distribution |title=Distribution of Acheulian sites in the Siwalik region |access-date=2015-11-16 |archive-url=https://web.archive.org/web/20120104171240/http://www.assemblage.group.shef.ac.uk/issue7/chauhan.html#distribution |archive-date=2012-01-04 |url-status=dead }}</ref>


==Prehistory==
==Prehistory==
{{See also|List of Indian inventions and discoveries}}
{{See also|List of [[South Asian]] inventions and discoveries}}
[[File:Hand-propelled wheel cart from Indus Valley Civilization.GIF|thumb|Hand-propelled wheel cart, Indus Valley Civilization (3300–1300 BCE). Housed at the [[National Museum, New Delhi]].]]
[[File:Hand-propelled wheel cart from Indus Valley Civilization.GIF|thumb|Hand-propelled wheel cart, Indus Valley Civilization (3300–1300 BCE). Housed at the [[National Museum, New Delhi]].]]
By 5500 BCE a number of sites similar to Mehrgarh had appeared, forming the basis of later chalcolithic cultures.<ref name=Kenoyer230/> The inhabitants of these sites maintained trading relations with [[Near East]] and [[Central Asia]].<ref name=Kenoyer230>Kenoyer, 230</ref>
By 5500 BCE a number of sites similar to [[Mehrgarh]] ([[Pakistan]]) had appeared, forming the basis of later chalcolithic cultures.<ref name=Kenoyer230/> The inhabitants of these sites maintained trading relations with [[Near East]] and [[Central Asia]].<ref name=Kenoyer230>Kenoyer, 230</ref>


Irrigation was developed in the Indus Valley Civilization by around 4500 BCE.<ref name=R&U/> The size and prosperity of the Indus civilization grew as a result of this innovation, which eventually led to more planned settlements making use of [[drainage]] and [[sewerage]].<ref name=R&U>Rodda & Ubertini, 279</ref> Sophisticated irrigation and water storage systems were developed by the Indus Valley Civilization, including artificial [[reservoir]]s at [[Girnar]] dated to 3000 BCE, and an early [[canal]] irrigation system from c. 2600 BCE.<ref>Rodda & Ubertini, 161</ref> [[Cotton]] was cultivated in the region by the 5th–4th millennia BCE.<ref>Stein, 47</ref> [[Sugarcane]] was originally from tropical South and Southeast Asia.<ref name=Sharpe/> Different species likely originated in different locations with ''S. barberi'' originating in India, and ''S. edule'' and ''S. officinarum'' coming from [[New Guinea]].<ref name=Sharpe>Sharpe (1998)</ref>
Irrigation was developed in the Indus Valley Civilization by around 4500 BCE.<ref name=R&U/> The size and prosperity of the Indus civilization grew as a result of this innovation, which eventually led to more planned settlements making use of [[drainage]] and [[sewerage]].<ref name=R&U>Rodda & Ubertini, 279</ref> Sophisticated irrigation and water storage systems were developed by the Indus Valley Civilization, including artificial [[reservoir]]s at [[Girnar]] dated to 3000 BCE, and an early [[canal]] irrigation system from c. 2600 BCE.<ref>Rodda & Ubertini, 161</ref> [[Cotton]] was cultivated in the region by the 5th–4th millennia BCE.<ref>Stein, 47</ref> [[Sugarcane]] was originally from tropical South and Southeast Asia.<ref name=Sharpe/> Different species likely originated in different locations with ''S. barberi'' originating in India, and ''S. edule'' and ''S. officinarum'' coming from [[New Guinea]].<ref name=Sharpe>Sharpe (1998)</ref>


The inhabitants of the Indus valley developed a system of [[standardization]], using weights and measures, evident by the excavations made at the Indus valley sites.<ref name=Baber_b>Baber, 23</ref> This [[technical standard]]ization enabled gauging devices to be effectively used in [[angular measurement]] and measurement for construction.<ref name=Baber_b/> [[Calibration]] was also found in measuring devices along with multiple subdivisions in case of some devices.<ref name=Baber_b/> One of the earliest known [[Dock (maritime)|dock]]s is at [[Lothal]] (2400 BCE), located away from the main current to avoid deposition of silt.<ref name="RaoQ"/> Modern oceanographers have observed that the [[Indus Valley Civilization|Harappans]] must have possessed knowledge relating to tides in order to build such a dock on the ever-shifting course of the [[Sabarmati]], as well as exemplary [[hydrography]] and maritime engineering.<ref name="RaoQ">Rao, 27–28</ref>
The inhabitants of the Indus valley developed a system of [[standardization]], using weights and measures, evident by the excavations made at the Indus valley sites.<ref name=Baber_b>Baber, 23</ref> This [[technical standard]]ization enabled gauging devices to be effectively used in [[angular measurement]] and measurement for construction.<ref name=Baber_b/> [[Calibration]] was also found in measuring devices along with multiple subdivisions in case of some devices.<ref name=Baber_b/> One of the earliest known [[Dock (maritime)|dock]]s is at [[Lothal]] (2400 BCE), located away from the main current to avoid deposition of silt.<ref name="RaoQ"/> Modern oceanographers have observed that the [[Indus Valley civilization|Harappans]] must have possessed knowledge relating to tides in order to build such a dock on the ever-shifting course of the [[Sabarmati]], as well as exemplary [[hydrography]] and maritime engineering.<ref name="RaoQ">Rao, 27–28</ref>


Excavations at Balakot ([[Kot Bala]]) (c. 2500–1900 BCE), present day Pakistan, have yielded evidence of an early [[Metallurgical furnace|furnace]].<ref name=Dales/> The furnace was most likely used for the manufacturing of [[ceramic]] objects.<ref name=Dales>Dales, 3–22 [10]</ref> [[Oven]]s, dating back to the civilization's mature phase (c. 2500–1900 BCE), were also excavated at Balakot.<ref name=Dales/> The [[Kalibangan]] archeological site further yields evidence of potshaped [[hearth]]s, which at one site have been found both on ground and underground.<ref name=Baber20>Baber, 20</ref> [[Kiln]]s with fire and kiln chambers have also been found at the Kalibangan site.<ref name=Baber20/> [[File:Ashoka pillar at Vaishali, Bihar, India.jpg|thumb|left|View of the Ashokan Pillar at [[Vaishali (ancient city)|Vaishali]]. One of the [[edicts of Ashoka]] (272–231 BCE) reads: "Everywhere King Piyadasi (Ashoka) erected two kinds of hospitals, hospitals for people and hospitals for animals. Where there were no healing herbs for people and animals, he ordered that they be bought and planted."<ref name=finger12>Finger, 12</ref>]]
Excavations at [[Balakot]] ([[Kot Bala]]) (c. 2500–1900 BCE), [[Pakistan]], have yielded evidence of an early [[Metallurgical furnace|furnace]].<ref name=Dales/> The furnace was most likely used for the manufacturing of [[ceramic]] objects.<ref name=Dales>Dales, 3–22 [10]</ref> [[Oven]]s, dating back to the civilization's mature phase (c. 2500–1900 BCE), were also excavated at Balakot.<ref name=Dales/> The [[Kalibangan]] archeological site further yields evidence of potshaped [[hearth]]s, which at one site have been found both on ground and underground.<ref name=Baber20>Baber, 20</ref> [[Kiln]]s with fire and kiln chambers have also been found at the Kalibangan site.<ref name=Baber20/> [[File:Ashoka pillar at Vaishali, Bihar, India.jpg|thumb|left|View of the Ashokan Pillar at [[Vaishali (ancient city)|Vaishali]]. One of the [[edicts of Ashoka]] (272–231 BCE) reads: "Everywhere King Piyadasi (Ashoka) erected two kinds of hospitals, hospitals for people and hospitals for animals. Where there were no healing herbs for people and animals, he ordered that they be bought and planted."<ref name=finger12>Finger, 12</ref>]]


Based on archaeological and textual evidence, [[Joseph E. Schwartzberg]] (2008)—a [[University of Minnesota]] [[professor emeritus]] of geography—traces the origins of [[Indian cartography]] to the Indus Valley Civilization (c. 2500–1900 BCE).<ref name=Schwartzberg1/> The use of large scale constructional plans, cosmological drawings, and cartographic material was known in India with some regularity since the [[Vedic period]] (2nd – 1st millennium BCE).<ref name=Schwartzberg1>"We now believe that some form of mapping was practiced in what is now India as early as the Mesolithic period, that surveying dates as far back as the Indus Civilization (ca. 2500–1900 BCE), and that the construction of large-scale plans, cosmographic maps, and other cartographic works has occurred continuously at least since the late Vedic age (first millennium BCE)" — Joseph E. Schwartzberg, 1301.</ref> Climatic conditions were responsible for the destruction of most of the evidence, however, a number of excavated surveying instruments and measuring rods have yielded convincing evidence of early cartographic activity.<ref name=Schwartzberg1301-1302>Schwartzberg, 1301–1302</ref> Schwartzberg (2008)—on the subject of surviving maps—further holds that: 'Though not numerous, a number of map-like graffiti appear among the thousands of Stone Age Indian cave paintings; and at least one complex Mesolithic diagram is believed to be a representation of the cosmos.'<ref name=Schwartzberg1301>Schwartzberg, 1301</ref>
Based on archaeological and textual evidence, [[Joseph E. Schwartzberg]] (2008)—a [[University of Minnesota]] [[professor emeritus]] of geography—traces the origins of [[Indian cartography]] to the Indus Valley Civilization (c. 2500–1900 BCE).<ref name=Schwartzberg1/> The use of large scale constructional plans, cosmological drawings, and cartographic material was known in [[South Asia]] with some regularity since the [[Vedic period]] (2nd – 1st millennium BCE).<ref name=Schwartzberg1>"We now believe that some form of mapping was practiced in what is now India as early as the Mesolithic period, that surveying dates as far back as the Indus Civilization (ca. 2500–1900 BCE), and that the construction of large-scale plans, cosmographic maps, and other cartographic works has occurred continuously at least since the late Vedic age (first millennium BCE)" — Joseph E. Schwartzberg, 1301.</ref> Climatic conditions were responsible for the destruction of most of the evidence, however, a number of excavated surveying instruments and measuring rods have yielded convincing evidence of early cartographic activity.<ref name=Schwartzberg1301-1302>Schwartzberg, 1301–1302</ref> Schwartzberg (2008)—on the subject of surviving maps—further holds that: 'Though not numerous, a number of map-like graffiti appear among the thousands of Stone Age Indian cave paintings; and at least one complex Mesolithic diagram is believed to be a representation of the cosmos.'<ref name=Schwartzberg1301>Schwartzberg, 1301</ref>


Archeological evidence of an animal-drawn [[plough]] dates back to 2500 BCE in the Indus Valley Civilization.<ref name=lal>Lal (2001)</ref> The earliest available [[sword]]s of copper discovered from the Harappan sites date back to 2300 BCE.<ref name=allchin1/> Swords have been recovered in archaeological findings throughout the [[Ganges]]–[[Jaunpur, Uttar Pradesh|Jamuna]] [[Doab]] region of India, consisting of [[bronze]] but more commonly copper.<ref name=allchin1>Allchin, 111–112</ref>
Archeological evidence of an animal-drawn [[plough]] dates back to 2500 BCE in the Indus Valley Civilization.<ref name=lal>Lal (2001)</ref> The earliest available [[sword]]s of copper discovered from the Harappan sites date back to 2300 BCE.<ref name=allchin1/> Swords have been recovered in archaeological findings throughout the [[Ganges]]–[[Jaunpur, Uttar Pradesh|Jamuna]] [[Doab]] region of India, consisting of [[bronze]] but more commonly copper.<ref name=allchin1>Allchin, 111–112</ref>
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By the beginning of the [[Common Era]] glass was being used for ornaments and casing in the region.<ref name=Ghosh/> Contact with the [[Greco-Roman world]] added newer techniques, and local artisans learnt methods of glass molding, decorating and coloring by the early centuries of the Common Era.<ref name=Ghosh>Ghosh, 219</ref> The [[Satavahana]] period further reveals short cylinders of composite glass, including those displaying a lemon yellow matrix covered with green glass.<ref name=Ghosh2>"Ornaments, Gems etc." (Ch. 10) in Ghosh 1990.</ref> [[Wootz]] originated in the region before the beginning of the common era.<ref>Srinivasan & Ranganathan</ref> Wootz was exported and traded throughout Europe, China, the Arab world, and became particularly famous in the Middle East, where it became known as [[Damascus steel]]. Archaeological evidence suggests that manufacturing process for Wootz was also in existence in South India before the Christian era.<ref name=Srinivasan94>Srinivasan (1994)</ref><ref>Srinivasan & Griffiths</ref>
By the beginning of the [[Common Era]] glass was being used for ornaments and casing in the region.<ref name=Ghosh/> Contact with the [[Greco-Roman world]] added newer techniques, and local artisans learnt methods of glass molding, decorating and coloring by the early centuries of the Common Era.<ref name=Ghosh>Ghosh, 219</ref> The [[Satavahana]] period further reveals short cylinders of composite glass, including those displaying a lemon yellow matrix covered with green glass.<ref name=Ghosh2>"Ornaments, Gems etc." (Ch. 10) in Ghosh 1990.</ref> [[Wootz]] originated in the region before the beginning of the common era.<ref>Srinivasan & Ranganathan</ref> Wootz was exported and traded throughout Europe, China, the Arab world, and became particularly famous in the Middle East, where it became known as [[Damascus steel]]. Archaeological evidence suggests that manufacturing process for Wootz was also in existence in South India before the Christian era.<ref name=Srinivasan94>Srinivasan (1994)</ref><ref>Srinivasan & Griffiths</ref>


Evidence for using bow-instruments for [[carding]] comes from India (2nd century CE).<ref name=Baber57>Baber, 57</ref> The mining of [[Diamond (gemstone)|diamonds]] and its early use as gemstones originated in India.<ref name=Wenk1>Wenk, 535–539</ref> [[Golconda]] served as an important early center for diamond mining and processing.<ref name=Wenk1/> Diamonds were then exported to other parts of the world.<ref name=Wenk1/> Early reference to diamonds comes from Sanskrit texts.<ref name=Encarta11>MSN Encarta (2007), [http://encarta.msn.com/encyclopedia_761557986/Diamond.html ''Diamond'']. [https://www.webcitation.org/5kwqi0eX3?url=http://encarta.msn.com/encyclopedia_761557986/Diamond.html Archived] 2009-10-31.</ref> The ''Arthashastra'' also mentions diamond trade in the region.<ref name=lee1>Lee, 685</ref> The [[Iron pillar of Delhi]] was erected at the times of [[Chandragupta II]] Vikramaditya (375–413), which stood without rusting for around 2 millennium.<ref>Balasubramaniam, R., 2002</ref> The [[Rasaratna Samuccaya]] (800) explains the existence of two types of ores for zinc metal, one of which is ideal for metal extraction while the other is used for medicinal purpose.<ref name=Craddock2>Craddock, 13</ref>[[File:Ship compartments.jpg|thumb|left|Model of a [[Chola]] (200–848) ship's hull, built by the [[Archaeological Survey of India|ASI]], based on a wreck 19 miles off the coast of Poombuhar, displayed in a Museum in [[Tirunelveli]].]]
Evidence for using bow-instruments for [[carding]] comes from India (2nd century CE).<ref name=Baber57>Baber, 57</ref> The mining of [[Diamond (gemstone)|diamonds]] and its early use as gemstones originated in India.<ref name=Wenk1>Wenk, 535–539</ref> [[Golconda]] served as an important early center for diamond mining and processing.<ref name=Wenk1/> Diamonds were then exported to other parts of the world.<ref name=Wenk1/> Early reference to diamonds comes from Sanskrit texts.<ref name=Encarta11>MSN Encarta (2007), [http://encarta.msn.com/encyclopedia_761557986/Diamond.html ''Diamond'']. [https://web.archive.org/web/20091028121034/http://encarta.msn.com/encyclopedia_761557986/Diamond.html Archived] 2009-10-31.</ref> The ''Arthashastra'' also mentions diamond trade in the region.<ref name=lee1>Lee, 685</ref> The [[Iron pillar of Delhi]] was erected at the times of [[Chandragupta II]] Vikramaditya (375–413), which stood without rusting for around 2 millennium.<ref>Balasubramaniam, R., 2002</ref> The [[Rasaratna Samuccaya]] (800) explains the existence of two types of ores for zinc metal, one of which is ideal for metal extraction while the other is used for medicinal purpose.<ref name=Craddock2>Craddock, 13</ref>[[File:Ship compartments.jpg|thumb|left|Model of a [[Chola]] (200–848) ship's hull, built by the [[Archaeological Survey of India|ASI]], based on a wreck 19 miles off the coast of Poombuhar, displayed in a Museum in [[Tirunelveli]].]]


The origins of the [[spinning wheel]] are unclear but India is one of the probable places of its origin.<ref>Britannica Concise Encyclopedia (2007), ''spinning wheel''.</ref><ref>Encyclopeedia Britnnica (2008). ''spinning''.</ref> The device certainly reached Europe from India by the 14th century.<ref>MSN Encarta (2008), [http://encarta.msn.com ''Spinning'']. [https://www.webcitation.org/query?id=1256962101378386 Archived] 2009-10-31.</ref> The cotton gin was invented in India as a mechanical device known as ''charkhi'', the "wooden-worm-worked roller".<ref name="Baber57">Baber, 57</ref> This mechanical device was, in some parts of the region, driven by water power.<ref name="Baber57"/> The [[Ajanta Caves]] yield evidence of a single roller [[cotton gin]] in use by the 5th century.<ref name=Babergin>Baber, 56</ref> This cotton gin was used until further innovations were made in form of foot powered gins.<ref name=Babergin/> Chinese documents confirm at least two missions to India, initiated in 647, for obtaining technology for sugar-refining.<ref name=Kieschnick11>Kieschnick, 258</ref> Each mission returned with different results on refining sugar.<ref name=Kieschnick11/>
The origins of the [[spinning wheel]] are unclear but [[South Asia]] is one of the probable places of its origin.<ref>Britannica Concise Encyclopedia (2007), ''spinning wheel''.</ref><ref>Encyclopeedia Britnnica (2008). ''spinning''.</ref> The device certainly reached Europe from India by the 14th century.<ref>MSN Encarta (2008), [http://encarta.msn.com ''Spinning'']. [https://www.webcitation.org/query?id=1256962101378386 Archived] 2009-10-31.</ref> The cotton gin was invented in [[South Asia]] as a mechanical device known as ''charkhi'', the "wooden-worm-worked roller".<ref name="Baber57">Baber, 57</ref> This mechanical device was, in some parts of the region, driven by water power.<ref name="Baber57"/> The [[Ajanta Caves]] yield evidence of a single roller [[cotton gin]] in use by the 5th century.<ref name=Babergin>Baber, 56</ref> This cotton gin was used until further innovations were made in form of foot powered gins.<ref name=Babergin/> Chinese documents confirm at least two missions to India, initiated in 647, for obtaining technology for sugar-refining.<ref name=Kieschnick11>Kieschnick, 258</ref> Each mission returned with different results on refining sugar.<ref name=Kieschnick11/>
[[Pingala]] (300–200 BCE) was a [[musical theory|musical theorist]] who authored a [[Sanskrit]] treatise on [[Prosody (music)|prosody]]. There is evidence that in his work on the enumeration of syllabic combinations, Pingala stumbled upon both the [[Pascal triangle]] and [[Binomial coefficients]], although he did not have knowledge of the [[Binomial theorem]] itself.<ref name=fowler96>Fowler, 11</ref><ref name=singh36>Singh, 623–624</ref> A description of [[binary numbers]] is also found in the works of Pingala.<ref>Sanchez & Canton, 37</ref> The Indians also developed the use of the law of signs in multiplication. Negative numbers and the subtrahend had been used in East Asia since the 2nd century BCE, and Indian mathematicians were aware of negative numbers by the 7th century CE,<ref name=Smith>Smith (1958), page 258</ref> and their role in mathematical problems of debt was understood.<ref name=bourbaki49>Bourbaki (1998), page 49</ref> Although the Indians were not the first to use the subtrahend, they were the first to establish the "law of signs" with regards to the multiplication of positive and negative numbers, which did not appear in East Asian texts until 1299.<ref name=Smith2>Smith (1958), page 257–258</ref> Mostly consistent and correct rules for working with negative numbers were formulated,<ref name=bourbaki46>{{Harvnb|Bourbaki|1998|p=46}}</ref> and the diffusion of these rules led the Arab intermediaries to pass it on to Europe.<ref name=bourbaki49/>
[[Pingala]] (300–200 BCE) was a [[musical theory|musical theorist]] who authored a [[Sanskrit]] treatise on [[Prosody (music)|prosody]]. There is evidence that in his work on the enumeration of syllabic combinations, Pingala stumbled upon both the [[Pascal triangle]] and [[Binomial coefficients]], although he did not have knowledge of the [[Binomial theorem]] itself.<ref name=fowler96>Fowler, 11</ref><ref name=singh36>Singh, 623–624</ref> A description of [[binary numbers]] is also found in the works of Pingala.<ref>Sanchez & Canton, 37</ref> The Indians also developed the use of the law of signs in multiplication. Negative numbers and the subtrahend had been used in [[East Asia]] since the 2nd century BCE, and [[South Asian]] mathematicians were aware of negative numbers by the 7th century CE,<ref name=Smith>Smith (1958), page 258</ref> and their role in mathematical problems of debt was understood.<ref name=bourbaki49>Bourbaki (1998), page 49</ref> Although the Indians were not the first to use the subtrahend, they were the first to establish the "law of signs" with regards to the multiplication of positive and negative numbers, which did not appear in East Asian texts until 1299.<ref name=Smith2>Smith (1958), page 257–258</ref> Mostly consistent and correct rules for working with negative numbers were formulated,<ref name=bourbaki46>{{Harvnb|Bourbaki|1998|p=46}}</ref> and the diffusion of these rules led the Arab intermediaries to pass it on to Europe.<ref name=bourbaki49/>


A [[decimal|decimal number system]] using hieroglyphics dates back to 3000 BC in Egypt,<ref>Georges Ifrah: ''From One to Zero. A Universal History of Numbers'', Penguin Books, 1988, {{ISBN|0-14-009919-0}}, pp. 200–213 (Egyptian Numerals)</ref> and was later in use in ancient India.<ref name=irfah346>Ifrah, 346</ref> By the 9th century CE, the [[Hindu–Arabic numeral system]] was transmitted from the Middle East and to the rest of the world.<ref name="Wigelsworth">{{cite book|author=Jeffrey Wigelsworth|title=Science And Technology in Medieval European Life|url=https://books.google.com/books?id=VPDqnGGHpHYC&pg=PA18|date=1 January 2006|publisher=Greenwood Publishing Group|isbn=978-0-313-33754-3|page=18}}</ref> The concept of [[zero|0]] as a number, and not merely a symbol for separation is attributed to India.<ref name=bourbaki46_2>Bourbaki, 46</ref> In India, practical calculations were carried out using zero, which was treated like any other number by the 9th century CE, even in case of division.<ref name=bourbaki46/><ref name=ebcal>Britannica Concise Encyclopedia (2007). ''algebra''</ref> [[Brahmagupta]] (598–668) was able to find (integral) solutions of [[Pell's equation]].<ref name=sw101>Stillwell, 72–73</ref> Conceptual design for a [[perpetual motion machine]] by [[Bhāskara II|Bhaskara II]] dates to 1150. He described a wheel that he claimed would run forever.<ref>Lynn Townsend White, Jr.</ref>
A [[decimal|decimal number system]] using hieroglyphics dates back to 3000 BC in [[Egypt]],<ref>Georges Ifrah: ''From One to Zero. A Universal History of Numbers'', Penguin Books, 1988, {{ISBN|0-14-009919-0}}, pp. 200–213 (Egyptian Numerals)</ref> and was later in use in ancient India.<ref name=irfah346>Ifrah, 346</ref> By the 9th century CE, the [[Hindu–Arabic numeral system]] was transmitted from the Middle East and to the rest of the world.<ref name="Wigelsworth">{{cite book|author=Jeffrey Wigelsworth|title=Science And Technology in Medieval European Life|url=https://books.google.com/books?id=VPDqnGGHpHYC&pg=PA18|date=1 January 2006|publisher=Greenwood Publishing Group|isbn=978-0-313-33754-3|page=18}}</ref> The concept of [[zero|0]] as a number, and not merely a symbol for separation is attributed to India.<ref name=bourbaki46_2>Bourbaki, 46</ref> In India, practical calculations were carried out using zero, which was treated like any other number by the 9th century CE, even in case of division.<ref name=bourbaki46/><ref name=ebcal>Britannica Concise Encyclopedia (2007). ''algebra''</ref> [[Brahmagupta]] (598–668) was able to find (integral) solutions of [[Pell's equation]].<ref name=sw101>Stillwell, 72–73</ref> Conceptual design for a [[perpetual motion machine]] by [[Bhāskara II|Bhaskara II]] dates to 1150. He described a wheel that he claimed would run forever.<ref>Lynn Townsend White, Jr.</ref>


The [[Trigonometry|trigonometric]] functions of [[sine]] and [[versine]], from which it was trivial to derive the cosine, were used by the mathematician, [[Aryabhata]], in the late 5th century.<ref>O'Connor, J. J. & Robertson, E.F. (1996)</ref><ref>"Geometry, and its branch trigonometry, was the mathematics Indian astronomers used most frequently. In fact, the Indian astronomers in the third or fourth century, using a pre-Ptolemaic Greek table of chords, produced tables of sines and versines, from which it was trivial to derive cosines. This new system of trigonometry, produced in India, was transmitted to the Arabs in the late eighth century and by them, in an expanded form, to the Latin West and the Byzantine East in the twelfth century" – Pingree (2003).</ref> The [[calculus]] theorem now known as "[[Rolle's theorem]]" was stated by mathematician, [[Bhāskara II]], in the 12th century.<ref>Broadbent, 307–308</ref>
The [[Trigonometry|trigonometric]] functions of [[sine]] and [[versine]], from which it was trivial to derive the cosine, were used by the mathematician, [[Aryabhata]], in the late 5th century.<ref>O'Connor, J. J. & Robertson, E.F. (1996)</ref><ref>"Geometry, and its branch trigonometry, was the mathematics Indian astronomers used most frequently. In fact, the Indian astronomers in the third or fourth century, using a pre-Ptolemaic Greek table of chords, produced tables of sines and versines, from which it was trivial to derive cosines. This new system of trigonometry, produced in India, was transmitted to the Arabs in the late eighth century and by them, in an expanded form, to the Latin West and the Byzantine East in the twelfth century" – Pingree (2003).</ref> The [[calculus]] theorem now known as "[[Rolle's theorem]]" was stated by mathematician, [[Bhāskara II]], in the 12th century.<ref>Broadbent, 307–308</ref>
[[File:The Defeat of Baz Bahadur of Malwa by the Mughal Troops, 1561, Akbarnama.jpg|thumb|[[Akbarnama]]—written by August 12, 1602—depicts the defeat of [[Baz Bahadur]] of [[Malwa]] by the [[Mughal Empire|Mughal]] troops, 1561. The Mughals extensively improved metal weapons and armor used by the armies of India.]]
[[File:The Defeat of Baz Bahadur of Malwa by the Mughal Troops, 1561, Akbarnama.jpg|thumb|[[Akbarnama]]—written by August 12, 1602—depicts the defeat of [[Baz Bahadur]] of [[Malwa]] by the [[Mughal Empire|Mughal]] troops, 1561. The Mughals extensively improved metal weapons and armor used by the armies of India.]]


[[Indigo]] was used as a dye in India, which was also a major center for its production and processing.<ref name=k&c>Kriger & Connah, 120</ref> The ''Indigofera tinctoria'' variety of Indigo was domesticated in India.<ref name=k&c/> Indigo, used as a dye, made its way to the [[ancient Greece|Greeks]] and the [[Ancient Rome|Romans]] via various trade routes, and was valued as a luxury product.<ref name=k&c/> The [[cashmere wool]] fiber, also known as ''pashm'' or ''pashmina'', was used in the handmade shawls of Kashmir.<ref>Encyclopædia Britannica (2008), ''cashmere''.</ref> The woolen shawls from [[Kashmir]] region find written mention between 3rd century BCE and the 11th century CE.<ref name=ebpasm>Encyclopædia Britannica (2008), ''Kashmir shawl''.</ref> Crystallized sugar was discovered by the time of the [[Gupta dynasty]],<ref name=Adas>Shaffer, 311</ref> and the earliest reference to candied sugar comes from India.<ref name=Kieschnick1>Kieschnick (2003)</ref> [[Jute]] was also cultivated in India.<ref name=ebjute>Encyclopædia Britannica (2008), ''jute''.</ref> [[Muslin]] was named after the city where Europeans first encountered it, [[Mosul]], in what is now [[Iraq]], but the fabric actually originated from [[Dhaka]] in what is now [[Bangladesh]].<ref>{{cite book |last=Karim |first=Abdul |year=2012 |chapter=Muslin |chapter-url=http://en.banglapedia.org/index.php?title=Muslin |editor1-last=Islam |editor1-first=Sirajul |editor1-link=Sirajul Islam |editor2-last=Jamal |editor2-first=Ahmed A. |title=Banglapedia: National Encyclopedia of Bangladesh |edition=Second |publisher=[[Asiatic Society of Bangladesh]]}}</ref><ref name=Muslin>Ahmad, 5–26</ref> In the 9th century, an [[Islamic economics in the world|Arab merchant]] named Sulaiman makes note of the material's origin in [[Bengal]] (known as ''Ruhml'' in [[Arabic language|Arabic]]).<ref name=Muslin/>
[[Indigo]] was used as a dye in [[South Asia]], which was also a major center for its production and processing.<ref name=k&c>Kriger & Connah, 120</ref> The ''Indigofera tinctoria'' variety of Indigo was domesticated in India.<ref name=k&c/> Indigo, used as a dye, made its way to the [[ancient Greece|Greeks]] and the [[Ancient Rome|Romans]] via various trade routes, and was valued as a luxury product.<ref name=k&c/> The [[cashmere wool]] fiber, also known as ''pashm'' or ''pashmina'', was used in the handmade shawls of Kashmir.<ref>Encyclopædia Britannica (2008), ''cashmere''.</ref> The woolen shawls from [[Kashmir]] region find written mention between 3rd century BCE and the 11th century CE.<ref name=ebpasm>Encyclopædia Britannica (2008), ''Kashmir shawl''.</ref> Crystallized sugar was discovered by the time of the [[Gupta dynasty]],<ref name=Adas>Shaffer, 311</ref> and the earliest reference to candied sugar comes from India.<ref name=Kieschnick1>Kieschnick (2003)</ref> [[Jute]] was also cultivated in India.<ref name=ebjute>Encyclopædia Britannica (2008), ''jute''.</ref> [[Muslin]] was named after the city where Europeans first encountered it, [[Mosul]], in what is now [[Iraq]], but the fabric actually originated from [[Dhaka]] in what is now [[Bangladesh]].<ref>{{cite book |last=Karim |first=Abdul |year=2012 |chapter=Muslin |chapter-url=http://en.banglapedia.org/index.php?title=Muslin |editor1-last=Islam |editor1-first=Sirajul |editor1-link=Sirajul Islam |editor2-last=Jamal |editor2-first=Ahmed A. |title=Banglapedia: National Encyclopedia of Bangladesh |edition=Second |publisher=[[Asiatic Society of Bangladesh]]}}</ref><ref name=Muslin>Ahmad, 5–26</ref> In the 9th century, an [[Islamic economics in the world|Arab merchant]] named Sulaiman makes note of the material's origin in [[Bengal]] (known as ''Ruhml'' in [[Arabic language|Arabic]]).<ref name=Muslin/>


European scholar Francesco Lorenzo Pullè reproduced a number of Indian maps in his magnum opus ''La Cartografia Antica dell India''.<ref name=Sircar2>Sircar 328</ref> Out of these maps, two have been reproduced using a manuscript of ''Lokaprakasa'', originally compiled by the polymath Ksemendra ([[Kashmir]], 11th century CE), as a source.<ref name=Sircar2/> The other manuscript, used as a source by Francesco I, is titled ''Samgraha'.<ref name=Sircar2/>
European scholar Francesco Lorenzo Pullè reproduced a number of Indian maps in his magnum opus ''La Cartografia Antica dell India''.<ref name=Sircar2>Sircar 328</ref> Out of these maps, two have been reproduced using a manuscript of ''Lokaprakasa'', originally compiled by the polymath Ksemendra ([[Kashmir]], 11th century CE), as a source.<ref name=Sircar2/> The other manuscript, used as a source by Francesco I, is titled ''Samgraha'.<ref name=Sircar2/>
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Gunpowder and gunpowder weapons were transmitted to India through the [[Mongol invasions of India]].<ref name="Kn">{{cite book|author=Iqtidar Alam Khan|title=Gunpowder And Firearms: Warfare In Medieval India|year=2004|publisher=Oxford University Press|isbn=978-0-19-566526-0}}</ref>{{Quotation needed|date=August 2021}}<ref name="kn2" /> The Mongols were defeated by [[Alauddin Khalji]] of the [[Delhi Sultanate]], and some of the Mongol soldiers remained in northern India after their conversion to Islam.<ref name="kn2">{{cite book|author=Iqtidar Alam Khan|title=Historical Dictionary of Medieval India|url=https://books.google.com/books?id=pzZFUcDpDzsC&pg=PA103|date=25 April 2008|publisher=Scarecrow Press|isbn=978-0-8108-5503-8|page=103}}</ref> It was written in the ''Tarikh-i Firishta'' (1606–1607) that the envoy of the Mongol ruler [[Hulagu Khan]] was presented with a [[pyrotechnics]] display upon his arrival in [[Delhi]] in 1258 CE.<ref name="khan 9 10">Khan, 9–10</ref> As a part of an embassy to India by [[Timur]]id leader Shah Rukh (1405–1447), 'Abd al-Razzaq mentioned naphtha-throwers mounted on elephants and a variety of pyrotechnics put on display.<ref name="GF2">Partington, 217</ref> Firearms known as ''top-o-tufak'' also existed in the [[Vijayanagara Empire]] by as early as 1366 CE.<ref name="khan 9 10" /> From then on the employment of [[gunpowder warfare]] in the region was prevalent, with events such as the siege of [[Belgaum]] in 1473 CE by the [[Sultan]] Muhammad Shah Bahmani.<ref name="khan 10">Khan, 10</ref>[[File:Jantar Mantar Delhi 27-05-2005.jpg|alt=|left|thumb|[[Yantra Mandir (Delhi)|Jantar Mantar, Delhi]]—consisting of 13 architectural astronomy instruments, built by [[Jai Singh II]] of Jaipur, from 1724 onwards.]]In ''A History of Greek Fire and Gunpowder'', [[James Riddick Partington]] describes the gunpowder warfare of 16th and 17th century [[Mughal Empire|Mughal]] India, and writes that "Indian war rockets were formidable weapons before such rockets were used in Europe. They had bamboo rods, a rocket-body lashed to the rod, and iron points. They were directed at the target and fired by lighting the fuse, but the trajectory was rather erratic... The use of mines and counter-mines with explosive charges of gunpowder is mentioned for the times of Akbar and Jahāngir."<ref name="partingtonquote">Partington, 226</ref>
Gunpowder and gunpowder weapons were transmitted to India through the [[Mongol invasions of India]].<ref name="Kn">{{cite book|author=Iqtidar Alam Khan|title=Gunpowder And Firearms: Warfare In Medieval India|year=2004|publisher=Oxford University Press|isbn=978-0-19-566526-0}}</ref>{{Quotation needed|date=August 2021}}<ref name="kn2" /> The Mongols were defeated by [[Alauddin Khalji]] of the [[Delhi Sultanate]], and some of the Mongol soldiers remained in northern India after their conversion to Islam.<ref name="kn2">{{cite book|author=Iqtidar Alam Khan|title=Historical Dictionary of Medieval India|url=https://books.google.com/books?id=pzZFUcDpDzsC&pg=PA103|date=25 April 2008|publisher=Scarecrow Press|isbn=978-0-8108-5503-8|page=103}}</ref> It was written in the ''Tarikh-i Firishta'' (1606–1607) that the envoy of the Mongol ruler [[Hulagu Khan]] was presented with a [[pyrotechnics]] display upon his arrival in [[Delhi]] in 1258 CE.<ref name="khan 9 10">Khan, 9–10</ref> As a part of an embassy to India by [[Timur]]id leader Shah Rukh (1405–1447), 'Abd al-Razzaq mentioned naphtha-throwers mounted on elephants and a variety of pyrotechnics put on display.<ref name="GF2">Partington, 217</ref> Firearms known as ''top-o-tufak'' also existed in the [[Vijayanagara Empire]] by as early as 1366 CE.<ref name="khan 9 10" /> From then on the employment of [[gunpowder warfare]] in the region was prevalent, with events such as the siege of [[Belgaum]] in 1473 CE by the [[Sultan]] Muhammad Shah Bahmani.<ref name="khan 10">Khan, 10</ref>[[File:Jantar Mantar Delhi 27-05-2005.jpg|alt=|left|thumb|[[Yantra Mandir (Delhi)|Jantar Mantar, Delhi]]—consisting of 13 architectural astronomy instruments, built by [[Jai Singh II]] of Jaipur, from 1724 onwards.]]In ''A History of Greek Fire and Gunpowder'', [[James Riddick Partington]] describes the gunpowder warfare of 16th and 17th century [[Mughal Empire|Mughal]] India, and writes that "Indian war rockets were formidable weapons before such rockets were used in Europe. They had bamboo rods, a rocket-body lashed to the rod, and iron points. They were directed at the target and fired by lighting the fuse, but the trajectory was rather erratic... The use of mines and counter-mines with explosive charges of gunpowder is mentioned for the times of Akbar and Jahāngir."<ref name="partingtonquote">Partington, 226</ref>


By the 16th century, Indians were manufacturing a diverse variety of firearms; large guns in particular, became visible in [[Tanjore]], [[Dacca]], [[Adil Shahi|Bijapur]] and [[Murshidabad]].<ref name=GF3>Partington, 225</ref> Guns made of bronze were recovered from [[Kozhikode|Calicut]] (1504) and [[Diu, India|Diu]] (1533).<ref name="partingtonquote">Partington, 226</ref> [[Gujarāt]] supplied Europe saltpeter for use in gunpowder warfare during the 17th century.<ref name=IndiaBritannica>Encyclopædia Britannica (2008), ''India.''</ref> [[Bengal]] and [[Malwa|Mālwa]] participated in saltpeter production.<ref name=IndiaBritannica/> The Dutch, French, Portuguese, and English used [[Chhapra]] as a center of saltpeter refining.<ref>Encyclopædia Britannica (2008), ''Chāpra.''</ref>
By the 16th century, [[South Asians]] were manufacturing a diverse variety of firearms; large guns in particular, became visible in [[Tanjore]], [[Dacca]], [[Adil Shahi|Bijapur]] and [[Murshidabad]].<ref name=GF3>Partington, 225</ref> Guns made of bronze were recovered from [[Kozhikode|Calicut]] (1504) and [[Diu, India|Diu]] (1533).<ref name="partingtonquote">Partington, 226</ref> [[Gujarāt]] supplied Europe saltpeter for use in gunpowder warfare during the 17th century.<ref name=IndiaBritannica>Encyclopædia Britannica (2008), ''India.''</ref> [[Bengal]] and [[Malwa|Mālwa]] participated in saltpeter production.<ref name=IndiaBritannica/> The Dutch, French, Portuguese, and English used [[Chhapra]] as a center of saltpeter refining.<ref>Encyclopædia Britannica (2008), ''Chāpra.''</ref>


The construction of water works and aspects of water technology in India is described in [[Arabic]] and [[Persian language|Persian]] works.<ref name=Siddiqui/> During medieval times, the diffusion of Indian and Persian irrigation technologies gave rise to an advanced irrigation system which bought about economic growth and also helped in the growth of material culture.<ref name=Siddiqui>Siddiqui, 52–77</ref> The founder of the [[cashmere wool]] industry is traditionally held to be the 15th-century ruler of Kashmir, Zayn-ul-Abidin, who introduced weavers from [[Central Asia]].<ref name=ebpasm/>
The construction of water works and aspects of water technology in [[South Asia]] is described in [[Arabic]] and [[Persian language|Persian]] works.<ref name=Siddiqui/> During medieval times, the diffusion of [[South Asian]] and [[Iran|Persian]] irrigation technologies gave rise to an advanced irrigation system which bought about economic growth and also helped in the growth of material culture.<ref name=Siddiqui>Siddiqui, 52–77</ref> The founder of the [[cashmere wool]] industry is traditionally held to be the 15th-century ruler of Kashmir, Zayn-ul-Abidin, who introduced weavers from [[Central Asia]].<ref name=ebpasm/>


The scholar Sadiq Isfahani of [[Jaunpur, Uttar Pradesh|Jaunpur]] compiled an [[atlas]] of the parts of the world which he held to be 'suitable for human life'.<ref name=Schwartzberg1302>Schwartzberg, 1302</ref> The 32 sheet atlas—with maps oriented towards the south as was the case with Islamic works of the era—is part of a larger scholarly work compiled by Isfahani during 1647 CE.<ref name=Schwartzberg1302/> According to Joseph E. Schwartzberg (2008): 'The largest known Indian map, depicting the former [[Rajput]] capital at [[Kingdom of Amber|Amber]] in remarkable house-by-house detail, measures 661 × 645&nbsp;cm. (260 × 254 in., or approximately 22 × 21&nbsp;ft).'<ref name=Schwartzberg1303>Schwartzberg, 1303</ref>
The scholar Sadiq Isfahani of [[Jaunpur, Uttar Pradesh|Jaunpur]] compiled an [[atlas]] of the parts of the world which he held to be 'suitable for human life'.<ref name=Schwartzberg1302>Schwartzberg, 1302</ref> The 32 sheet atlas—with maps oriented towards the south as was the case with Islamic works of the era—is part of a larger scholarly work compiled by Isfahani during 1647 CE.<ref name=Schwartzberg1302/> According to Joseph E. Schwartzberg (2008): 'The largest known Indian map, depicting the former [[Rajput]] capital at [[Kingdom of Amber|Amber]] in remarkable house-by-house detail, measures 661 × 645&nbsp;cm. (260 × 254 in., or approximately 22 × 21&nbsp;ft).'<ref name=Schwartzberg1303>Schwartzberg, 1303</ref>
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** [[List of Indian engineering colleges before Independence]]
** [[List of Indian engineering colleges before Independence]]
** [[List of Indian inventions and discoveries]]
** [[List of Indian inventions and discoveries]]
** [[Project of History of Indian Science, Philosophy and Culture]]
** [[Project of History of Indian Science, Philosophy and culture]]
** [[Timeline of historic inventions]]
** [[Timeline of historic inventions]]
** [[Timeline of Indian innovation]]
** [[Timeline of Indian innovation]]
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* Roy, Ranjan (1990), "Discovery of the Series Formula for <math> \pi </math> by Leibniz, Gregory, and Nilakantha", ''Mathematics Magazine'', Mathematical Association of America, '''63''' (5): 291–306.
* Roy, Ranjan (1990), "Discovery of the Series Formula for <math> \pi </math> by Leibniz, Gregory, and Nilakantha", ''Mathematics Magazine'', Mathematical Association of America, '''63''' (5): 291–306.
* Sanchez & Canton (2006), ''Microcontroller Programming: The Microchip PIC'', CRC Press, {{ISBN|0-8493-7189-9}}.
* Sanchez & Canton (2006), ''Microcontroller Programming: The Microchip PIC'', CRC Press, {{ISBN|0-8493-7189-9}}.
* Savage-Smith, Emilie (1985), ''Islamicate Celestial Globes: Their History, Construction, and Use'', Smithsonian Institution Press, Washington, D.C.
* [[Savage-Smith, Emilie]] (1985), ''Islamicate Celestial Globes: Their History, Construction, and Use'', Smithsonian Institution Press, Washington, D.C.
* Schwartzberg, Joseph E. (2008), "Maps and Mapmaking in India", ''Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures (2nd edition)'' edited by [[Helaine Selin]], pp.&nbsp;1301–1303, Springer, {{ISBN|978-1-4020-4559-2}}.
* Schwartzberg, Joseph E. (2008), "Maps and Mapmaking in India", ''Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures (2nd edition)'' edited by [[Helaine Selin]], pp.&nbsp;1301–1303, Springer, {{ISBN|978-1-4020-4559-2}}.
* Seaman, Lewis Charles Bernard (1973), ''Victorian England: Aspects of English and Imperial History 1837–1901'', Routledge, {{ISBN|0-415-04576-2}}.
* Seaman, Lewis Charles Bernard (1973), ''Victorian England: Aspects of English and Imperial History 1837–1901'', Routledge, {{ISBN|0-415-04576-2}}.
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* Anant Priolkar (1958) ''[https://archive.org/details/PrintingPressInIndia The printing press in India, its beginnings and early development; being a quarter-centenary commemoration study of the advent of printing in India] (in 1556).'' xix, 364 S., Bombay: Marathi Samshodhana Mandala, {{DOI|10.1017/S0041977X00151158}}
* Anant Priolkar (1958) ''[https://archive.org/details/PrintingPressInIndia The printing press in India, its beginnings and early development; being a quarter-centenary commemoration study of the advent of printing in India] (in 1556).'' xix, 364 S., Bombay: Marathi Samshodhana Mandala, {{DOI|10.1017/S0041977X00151158}}
* [[Debiprasad Chattopadhyaya]] (1977) ''History of Science and Technology in Ancient India: The Beginnings'' with a foreword by Joseph Needham.
* [[Debiprasad Chattopadhyaya]] (1977) ''History of Science and Technology in Ancient India: The Beginnings'' with a foreword by Joseph Needham.
* [[Project of History of Indian Science, Philosophy and Culture]], Volume 4. Fundamental Indian Ideas in Physics, Chemistry, Life Sciences and Medicine
* [[Project of History of Indian Science, Philosophy and culture]], Volume 4. Fundamental Indian Ideas in Physics, Chemistry, Life Sciences and Medicine
* Project of History of Indian Science, Philosophy and Culture, Monograph series, Volume 3. Mathematics, Astronomy and Biology in Indian Tradition edited by D. P. Chattopadhyaya and Ravinder Kumar
* Project of History of Indian Science, Philosophy and Culture, Monograph series, Volume 3. Mathematics, Astronomy and Biology in Indian Tradition edited by D. P. Chattopadhyaya and Ravinder Kumar
* [[T. A. Sarasvati Amma]] (2007)[1979] ''Geometry of Ancient and Medieval India'', Motilal Banarsidass Publishers, {{ISBN|978-81-208-1344-1}}
* [[T. A. Sarasvati Amma]] (2007)[1979] ''Geometry of Ancient and Medieval India'', Motilal Banarsidass Publishers, {{ISBN|978-81-208-1344-1}}