List of Indian inventions and discoveries explained

This list of Indian inventions and discoveries details the inventions, scientific discoveries and contributions of India, including those from the historic Indian subcontinent and the modern-day republic of India. It draws from the whole cultural and technological history of India, during which architecture, astronomy, cartography, metallurgy, logic, mathematics, metrology and mineralogy were among the branches of study pursued by its scholars. During recent times science and technology in the Republic of India has also focused on automobile engineering, information technology, communications as well as research into space and polar technology.

For the purpose of this list, the inventions are regarded as technological firsts developed within territory of India, as such does not include foreign technologies which India acquired through contact or any Indian origin living in foreign country doing any breakthroughs in foreign land. It also does not include technologies or discoveries developed elsewhere and later invented separately in India, nor inventions by Indian emigres in other places. Changes in minor concepts of design or style and artistic innovations do not appear in the lists.

Ancient India

See also: History of science and technology in the Indian subcontinent, List of inventions and discoveries of the Indus Valley Civilisation and Timeline of Indian innovation.

Agriculture

Construction, civil engineering and architecture

Finance and banking

Games

See main article: Traditional games of South Asia.

Textile and material production

Well-being

Medicine

Equestrianism

Metallurgy, gems and other commodities

Metrology

A total of 558 weights were excavated from Mohenjodaro, Harappa, and Chanhu-daro, not including defective weights. They did not find statistically significant differences between weights that were excavated from five different layers, each about 1.5 m in thickness. This was evidence that strong control existed for at least a 500-year period. The 13.7-g weight seems to be one of the units used in the Indus valley. The notation was based on the binary and decimal systems. 83% of the weights which were excavated from the above three cities were cubic, and 68% were made of chert.[143]

Weapons

Philosophy and logic

  1. It should be present in the case or object under consideration, the ‘subject-locus' (pakṣa)
  2. It should be present in a ‘similar case’ or a homologue (sapakṣa)
  3. It should not be present in any ‘dissimilar case’ or heterologue (vipakṣa)

When a ‘sign’ or ‘mark’ (linga) is identified, there are three possibilities: the sign may be present in all, some, or none of the sapakṣas. Likewise, the sign may be present in all, some or none of the vipakṣas. To identify a sign, we have to assume that it is present in the pakṣa, however; that is the first condition is already satisfied. Combining these, Dignaga constructed his ‘Wheel of Reason’ (Sanskrit: Hetucakra).[152]

The seven predicate theory consists in the use of seven claims about sentences, each preceded by "arguably" or "conditionally", concerning a single object and its particular properties, composed of assertions and denials, either simultaneously or successively, and without contradiction. These seven claims are the following.

  1. Arguably, it (that is, some object) exists .
  2. Arguably, it does not exist .
  3. Arguably, it exists; arguably, it doesn't exist .
  4. Arguably, it is non-assertible .
  5. Arguably, it exists; arguably, it is non-assertible .
  6. Arguably, it doesn't exist; arguably, it is non-assertible .
  7. Arguably, it exists; arguably, it doesn't exist; arguably it is non-assertible .

Mathematics

See also: Indian mathematics.

Number SystemNumbers
0 1 2 3 4 5 6 7 8 9
Tamil
Gurmukhio
Odia
Bengali
Assamese
Devanagari
Gujarati
Tibetan
Telugu
Kannada
Malayalam
Burmese
Khmer
Thai
Lao
Balinese
Santali
Javanese

"It is India that gave us the ingenuous method of expressing all numbers by the means of ten symbols, each symbol receiving a value of position, as well as an absolute value; a profound and important idea which appears so simple to us now that we ignore its true merit, but its very simplicity, the great ease which it has lent to all computations, puts our arithmetic in the first rank of useful inventions, and we shall appreciate the grandeur of this achievement when we remember that it escaped the genius of Archimedes and Apollonius, two of the greatest minds produced by antiquity."

\arctanx

to obtain an infinite series expression for .[176] Their rational approximation of the error for the finite sum of their series are of particular interest. They manipulated the error term to derive a faster converging series for .[178] They used the improved series to derive a rational expression,[178]

104348/33215

for correct up to eleven decimal places, i.e.

3.1415926539214

.[179] [180] Madhava of Sangamagrama and his successors at the Kerala school of astronomy and mathematics used geometric methods to derive large sum approximations for sine, cosine, and arctangent. They found a number of special cases of series later derived by Brook Taylor series. They also found the second-order Taylor approximations for these functions, and the third-order Taylor approximation for sine.[181] [182] [183]

n

long notes and

k

short notes; this is equivalent to finding the binomial coefficients.

x2-Ny2=1,

where N is a non-square integer, in his Brâhma-sphuṭa-siddhânta treatise.[199]

Linguistics

Mining

Space

Miscellaneous

Modern India

Medicine

Electronics and communications

Computers and programming languages

Construction, civil engineering and architecture

Finance and banking

Paleontology

Genetics

Metallurgy, manufacturing, and industry

Metrology

Rocket Science

Science and technology

Weapon systems

Indigenisation and improvements

Mathematics

See also: Indian mathematics.

Sciences

Space

See also

Bibliography

\pi

by Leibniz, Gregory, and Nilakantha", Mathematics Magazine (Mathematical Association of America) 63 (5): 291306

External links

Notes and References

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