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Development of mathematics in South Asia
The tradition of Indian mathematics flourished in South Asia from circa 1200 BCE until the late 18th century, when it merged into a global discipline.
Indian_mathematics
Annual high school mathematics competition held in India
The Indian National Mathematical Olympiad (INMO) is a highly selective high school mathematics competition held annually in India. It is conducted by the
Indian National Mathematical Olympiad
Indian_National_Mathematical_Olympiad
The history of mathematics deals with the origin of discoveries in mathematics and the mathematical methods and notation of the past. Before the modern
History_of_mathematics
The Indian Mathematical Society (IMS) is the oldest organization in India devoted to the promotion of study and research in mathematics. The Society was
Indian_Mathematical_Society
Field of knowledge
Mathematics is a field of knowledge concerned with abstract concepts such as numbers, geometric shapes, sets, functions, and probabilities. It uses logical
Mathematics
1965 book by Bharati Krishna Tirtha
Vedic Mathematics is a book written by Indian Shankaracharya Bharati Krishna Tirtha and first published in 1965. It contains a list of mathematical techniques
Vedic_Mathematics
Indian mathematician (1887–1920)
April 1920) was an Indian mathematician who worked during the early 20th century. He made substantial contributions to mathematical analysis, number theory
Srinivasa_Ramanujan
Country in South Asia
The decimal number system in use today was first recorded in Indian mathematics. Indian mathematicians made early contributions to the study of the concept
India
Hindu astronomy, mathematics, science school in India
The Kerala school of astronomy and mathematics was a school of mathematics and astronomy founded by Madhava of Sangamagrama in Tirur, Malappuram, Kerala
Kerala school of astronomy and mathematics
Kerala_school_of_astronomy_and_mathematics
syntheses of Greek mathematics (Euclid, Archimedes, Apollonius) and Indian mathematics (Aryabhata, Brahmagupta). Important developments of the period include
Mathematics in the medieval Islamic world
Mathematics_in_the_medieval_Islamic_world
Research Institution in Kolkata, India
(Khaira Professor of Applied Mathematics) and Sir Rajendra Nath Mookerjee. This meeting led to the establishment of the Indian Statistical Institute (ISI)
Indian_Statistical_Institute
Indian inventions
(2000), "The Mathematical Accomplishments of Ancient Indian Mathematicians". Mathematics Across Cultures: The History of Non-western Mathematics. New York:
List of Indian inventions and discoveries
List_of_Indian_inventions_and_discoveries
Indian mathematician-astronomer (476–550)
mathematician-astronomers and early physicist from the classical age of Indian mathematics and Indian astronomy. His works include the Āryabhaṭīya (which mentions
Aryabhata
Calculating tool
David Eugene (1958). History of Mathematics. Dover Books on Mathematics. Vol. 2: Special Topics of Elementary Mathematics. Courier Dover Publications.
Abacus
3rd–2nd century BC Indian mathematician and poet
Shastra. Chandas Sanskrit prosody Indian mathematics Indian mathematicians History of the binomial theorem List of Indian mathematicians Amulya Kumar Bag
Pingala
Celebration that commemorates the birthday of Srinivasa Ramanujan
The Indian government declared 22 December to be celebrated as National Mathematics Day every year to mark the birth anniversary of the Indian mathematician
National Mathematics Day (India)
National_Mathematics_Day_(India)
Hindu Shulba Sutras in Upanishadic India. However, Indian mathematics, especially North Indian mathematics, generally did not have a tradition of communicating
Timeline of scientific discoveries
Timeline_of_scientific_discoveries
Used to count, measure, and label
double entry accounting. Indian texts used a Sanskrit word Shunye or shunya to refer to the concept of void. In mathematics texts this word often refers
Number
Mathematical treatise by Bhāskara II
Līlāvatī is a treatise by Indian mathematician Bhāskara II on mathematics, written in 1150 AD. It is the first volume of his main work, the Siddhānta
Līlāvatī
Indian convention of naming large numbers
boxes, misplaced vowels or missing conjuncts instead of Indic text. The Indian numbering system is used in India, Pakistan, Nepal, Sri Lanka, and Bangladesh
Indian_numbering_system
introduced. Far larger finite numbers than any of these occur in modern mathematics. For instance, Graham's number is too large to reasonably express using
History_of_large_numbers
British mathematician and logician (1806–1871)
Morgan's preface surveyed classical Indian mathematical thought and urged a contemporary return of Indian mathematics: On examining this work I saw in it
Augustus_De_Morgan
Product of numbers from 1 to n
Factorials have been discovered in several ancient cultures, notably in Indian mathematics in the canonical works of Jain literature, and by Jewish mystics in
Factorial
In the early medieval period, Indian mathematics, including Hindu numerals, influenced the development of mathematics and astronomy in the Arab world
History_of_India
Number
and hexadecimal. The modern use of 0 in this manner derives from Indian mathematics that was transmitted to Europe via medieval Islamic mathematicians
0
Book about the history of Indian mathematics
Mathematics in India: 500 BCE–1800 CE is a monograph about the history of Indian mathematics. It was written by American historian of mathematics Kim
Mathematics_in_India_(book)
Indian mathematicians have made a number of contributions to mathematics that have significantly influenced scientists and mathematicians in the modern
List_of_Indian_mathematicians
Indian mathematician (1901-1954)
Narayan Singh (Benares, 1901 – July 10, 1954) was an Indian mathematician and historian of mathematics. Singh received a master's degree from Banaras Hindu
Avadhesh_Narayan_Singh
Book on history of Indian mathematics
History of Hindu Mathematics: A Source Book is a treatise on the history of Indian mathematics authored by Bibhutibhushan Datta and Awadhesh Narayan Singh
History_of_Hindu_Mathematics
Mathematics of Ancient Greece and the Mediterranean, 5th BC to 6th AD
Ancient Greek mathematics refers to the history of mathematical ideas and texts in Ancient Greece during classical and late antiquity, mostly from the
Ancient_Greek_mathematics
Ancient mathematical text
The Bakhshali manuscript is an ancient Indian mathematical text written on birch bark that was found in 1881 in the village of Bakhshali, Mardan (near
Bakhshali_manuscript
Indian polymath (1907–1966)
Dharmananda Kosambi (31 July 1907 – 29 June 1966) was an Indian polymath with interests in mathematics, statistics, philology, history, and genetics. He contributed
Damodar_Dharmananda_Kosambi
Mathematical Institute located in Mumbai, India
Lodha Mathematical Sciences Institute (LMSI) is a mathematical research centre located in Mumbai, India. It is India's only private mathematics research
Lodha Mathematical Sciences Institute
Lodha_Mathematical_Sciences_Institute
Most common system for writing numbers
positional decimal system takes its origins in[clarification needed] Indian mathematics during the Gupta period. Around 500, the astronomer Aryabhata uses
Hindu–Arabic_numeral_system
Sequence of operations for a task
1550 BC), Indian mathematics (around 800 BC and later), the Ifa Oracle (around 500 BC), Greek mathematics (around 240 BC), Chinese mathematics (around 200
Algorithm
Indian mathematician (born 1980)
खरे, born 1980) is an Indian mathematician who works in matrix positivity and analysis, combinatorics and discrete mathematics, and representation theory
Apoorva_Khare
Trigonometric functions introduced by Indian mathematicians and astronomers
three trigonometric functions introduced by Indian mathematicians and astronomers. The earliest known Indian treatise containing references to these functions
Jyā,_koti-jyā_and_utkrama-jyā
Texts belonging to the Śrauta ritual
appendices to the Vedas. They are the only sources of knowledge of Indian mathematics from the Vedic period. Unique Vedi (fire-altar) shapes were associated
Shulba_Sutras
Sanskrit astronomical treatise by Aryabhata
reader to follow. Indian mathematical works often use word numerals before Aryabhata, but the Aryabhatiya is the oldest extant Indian work with Devanagari
Aryabhatiya
Aspect of the Golden Age of Islam
flourishing of science, notably mathematics and astronomy, especially during the 9th and 10th centuries, had a notable Indian influence. During this era,
Indian influence on Islamic science
Indian_influence_on_Islamic_science
Treatise on algebra by Bhāskara II
literally translates to "mathematics (gaṇita) using seeds (bīja)", is one of the two main branches of mediaeval Indian mathematics, the other being pātīgaṇita
Bijaganita
Indian mathematician and educationalist
Anand Kumar (born 1 January 1973) is an Indian mathematics educator, best known for his Super 30 program, which he started in Patna, Bihar in 2002. He
Anand_Kumar
Research and education institute in Chennai, India
Department of Atomic Energy, through the National Board of Higher Mathematics. ISRO: The Indian Space Research Organization also funds CMI substantially. DST
Chennai Mathematical Institute
Chennai_Mathematical_Institute
Path in a graph that visits each vertex exactly once
been studied in the 9th century in Indian mathematics by Rudrata, and around the same time in Islamic mathematics by al-Adli ar-Rumi. In 18th century
Hamiltonian_path
Pātīgaṇita is the term used in pre-modern Indian mathematical literature to denote the area of mathematics dealing with arithmetic and mensuration. The
Pātīgaṇita
Indian mathematician and astronomer (1340–1425)
1425) was an Indian mathematician and astronomer who is considered to be the founder of the Kerala school of astronomy and mathematics in the Late Middle
Madhava_of_Sangamagrama
American mathematician (born 1964)
historian of mathematics, specializing in Indian mathematics. Born in Chennai, India, Plofker received her bachelor's degree in mathematics from Haverford
Kim_Plofker
Indian mathematician (1893–1987)
নাগ) (10 July 1893 – 6 February 1987), was an Indian Bengali mathematician, author of various mathematics textbooks and educator. K. C. Nag was born in
K._C._Nag
Branch of mathematics
Calculus is the branch of mathematics that studies continuous change, and is the principal precursor of modern mathematical analysis. Originally called
Calculus
mathematics. These include mathematical research, mathematics education, the history and philosophy of mathematics, public outreach, and mathematics contests
List_of_women_in_mathematics
Numbers obtained by adding the two previous ones
A000045 in the OEIS) The Fibonacci numbers were first described in Indian mathematics as early as 200 BC in work by Pingala on enumerating possible patterns
Fibonacci_sequence
Indian mathematics Islamic mathematics Italian school of algebraic geometry Kraków School of Mathematics Law of Continuity Lwów School of Mathematics
List of mathematics history topics
List_of_mathematics_history_topics
Development of Indian logic
became aware of the influence of Indian mathematics on the European. For example, Hermann Weyl wrote: "Occidental mathematics has in past centuries broken
Indian_logic
First sine table ever constructed
values of jyas are given in the last column of the table. In the Indian mathematical tradition, the sine ( or jya) of an angle is not a ratio of numbers
Āryabhaṭa's_sine_table
Sanskrit word for "rule of three"
used by Indian astronomers and mathematicians of the pre-modern era to denote what is known as the "rule of three" in elementary mathematics and algebra
Trairāśika
Indian professional association
Meeting. Indian Mathematical Society Kerala Mathematical Association London Mathematical Society American Mathematical Society Canadian Mathematical Society
Calcutta_Mathematical_Society
Mathematical series in trigonometry
In mathematics, a Madhava series is one of the three Taylor series expansions for the sine, cosine, and arctangent functions discovered in 14th or 15th
Madhava_series
List of scientists from India
BCE) Baudhayana, mathematician, author of oldest surviving texts of Indian mathematics (around 1st millennium BCE) Uddalaka Aruni, metaphysicist, anticipated
List_of_Indian_scientists
Indian mathematics upto the fifteenth century". Indian Journal of History of Science. 4 (1 & 2): 86–98. Van Brummelen, Glen (2009). The mathematics of
Brahmagupta's interpolation formula
Brahmagupta's_interpolation_formula
Sanskrit text on Indian astronomy
astronomical and mathematical methods developed by Greeks related arcs to chords of spherical trigonometry. The Indian mathematical astronomers, in their
Surya_Siddhanta
Astronomy on the Indian subcontinent
construction, discusses advanced mathematics and basic astronomy. Vedanga Jyotisha is another of the earliest known Indian texts on astronomy, it includes
Indian_astronomy
Indian professor of mathematics
S. Iyengar (- died 1972) was an Indian professor of mathematics and the founder head of the department of mathematics, Karnatak University, Dharwar. The
C._N._S._Iyengar
Ancient Indian alphasyllabic numeral system
(सङ्ख्यापद्धतिः), a collection of ancient Indian alpha-syllabic numeral systems A.A. Hattangadi, Explorations in Mathematics, Universities Press (India) Pvt. Ltd
Katapayadi_system
1604 commentary in Kannada
Retrieved 15 December 2023. A history of Indian literature: Vol Vi Part 4 - Jyothisastra - Astral and mathematical literature. Wiesbaden: Otto Harrassowitz
Ganitagannadi
Indian sage and mathematician
an ancient Indian mathematician and Vedic sage, believed to have lived around the 8th century BCE. He contributed to early Indian mathematics and geometry
Baudhayana
Branch of mathematics
Algebra is a branch of mathematics that deals with abstract systems, known as algebraic structures, and the manipulation of expressions within those systems
Algebra
Sanskrit grammarian, mathematician and Vedic priest
Katyayana and Manava. New Delhi: Indian National Science Academy. Pingree, David (1981). Jyotihsastra: Astral and Mathematical Literature. Wiesbaden: Otto
Kātyāyana
Indian historian of mathematics (1888-1958)
Bibhuti Bhusan Datta; 28 June 1888 – 6 October 1958) was a historian of Indian mathematics. Datta came from a poor Bengali family. He was a student of Ganesh
Bibhutibhushan_Datta
Book by George Gheverghese Joseph
two chapters on Chinese mathematics, three chapters on Indian mathematics, and the final chapter discusses Islamic mathematics. C. K. Raju accused Joseph
The_Crest_of_the_Peacock
century, is an advanced text on mathematics and astronomy addressed to the advanced students and scholars of mathematics. The book is composed in verses
Kanakkusaram
Formula to estimate the sine function
In mathematics, Bhāskara I's sine approximation formula is a rational expression in one variable for the computation of the approximate values of the
Bhāskara I's sine approximation formula
Bhāskara_I's_sine_approximation_formula
Indian mathematician and astronomer (1114–1185)
Mathematical Achievements of Pre-modern Indian Mathematicians von T.K Puttaswamy Shukla, Kripa Shankar (1984). "Use of Calculus in Hindu Mathematics"
Bhāskara_II
Book by Bhaskara II
Safdari. Kim Plofker 2009, p. 71. Burton, David M. (2011), The History of Mathematics: An Introduction (7th ed.), McGraw Hill, ISBN 978-0-07-338315-6 "khagol
Siddhānta_Shiromani
and its branch trigonometry, was the mathematics Indian astronomers used most frequently. In fact, the Indian astronomers in the third or fourth century
History of science and technology on the Indian subcontinent
History_of_science_and_technology_on_the_Indian_subcontinent
Mathematician and specialist in the history of mathematics
also known as G. G. Joseph is an Indian-born African mathematician who is a specialist in the history of mathematics. His works are mainly focused on
George_Gheverghese_Joseph
Branch of pure mathematics
Number theory is a branch of mathematics devoted primarily to the study of the integers and arithmetic functions. Number theorists study prime numbers
Number_theory
ancient India Indian mathematics Indian astronomy List of Indian inventions and discoveries Indian martial arts Malla-yuddha Kalaripayattu Indian medicine
Outline_of_ancient_India
Historian of Indian mathematics (1918-2007)
Shankar Shukla (10 July 1918 - 22 September 2007) was a historian of Indian mathematics. He was awarded the DLitt degree by Lucknow University in 1955 for
Kripa_Shankar_Shukla
Cyclic algorithm to solve indeterminate quadratic equations
The Crest of the Peacock: Non-European Roots of Mathematics (1975). G. R. Kaye, "Indian Mathematics", Isis 2:2 (1919), pp. 326–356. Clas-Olaf Selenius
Chakravala_method
Indian prosodist and mathematician
Virahanka (Devanagari: विरहाङ्क) was an Indian prosodist who is also known for his work on mathematics. He may have lived in the 6th century, but it is
Virahanka
equal length. Equidiagonal quadrilaterals were important in ancient Indian mathematics, where quadrilaterals were classified first according to whether they
Equidiagonal_quadrilateral
trigonometric functions began in Hellenistic mathematics, reaching India as part of Hellenistic astronomy. In Indian astronomy, the study of trigonometric functions
History_of_trigonometry
Multiplication table in Indian mathematics
In Indian mathematics, a Vedic square is a variation on a typical 9 × 9 multiplication table where the entry in each cell is the digital root of the product
Vedic_square
Indian mathematician and astronomer (598–668)
of learning for mathematics and astronomy. He became an astronomer of the Brahmapaksha school, one of the four major schools of Indian astronomy during
Brahmagupta
Mathematical work of Brahmagupta
1575 CE. "Brahmagupta | Indian astronomer". Encyclopedia Britannica. 19 July 2024. Bradley, Michael. The Birth of Mathematics: Ancient Times to 1300,
Brāhmasphuṭasiddhānta
Group of Vedic Sanskrit texts
are a group of Vedic Sanskrit texts which cover dharma, daily ritual, mathematics and is one of the oldest Dharma-related texts of Hinduism that have survived
Baudhayana_sutras
Treatise on mathematics and astronomy
Rationale), is a treatise on mathematics and astronomy, written by the Indian astronomer Jyeṣṭhadeva of the Kerala school of mathematics around 1530. The treatise
Yuktibhāṣā
Bengali mathematician (1855-1920)
moved to Kolkata for higher education and obtained his M.A. degree in mathematics from Presidency College at the University of Calcutta in 1882. While
Jadav_Chandra_Chakravarti
Research centre located in Chennai, India
The Institute of Mathematical Sciences (IMSc) (sometimes also referred to as Matscience) is a reputed research centre located in Chennai, India. It is
Institute of Mathematical Sciences, Chennai
Institute_of_Mathematical_Sciences,_Chennai
Indian organisation of persons who helped significantly in promoting mathematics
Ramanujan Mathematical Society is an Indian organisation of persons formed with the aim of "promoting mathematics at all levels". The Society was founded
Ramanujan Mathematical Society
Ramanujan_Mathematical_Society
Branch of mathematics
Geometry is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. Geometry is
Geometry
Five early C18 observatories in India
built at the command of the Sawai Jai Singh, who had a keen interest in mathematics, architecture and astronomy. A total of five Jantar Mantars were constructed
Jantar_Mantar
Ancient Indian unit of distance
Indian weights and measures History of measurement systems in India Other related Hindu astronomy Hindu calendar Hindu cosmology Indian mathematics Indian
Kos_(unit)
Indian physicist
Astronomical Society in 1931. He served as the president of the Indian Mathematical Society from 1981 to 1982. He trained the first generation of general
Vishnu_Vasudev_Narlikar
Indian academic
Professor Dinesh Singh, chancellor K.R. Mangalam University is an Indian professor of mathematics. He served as the 21st Vice-Chancellor of the University of
Dinesh_Singh_(academic)
Jain text
disciple Jambūsvāmin. Sthananga Sutra lists the topics which made up the mathematics studied from the time of 2nd century BCE onwards. In fact this list of
Sthananga_Sutra
Japanese mathematics educator
Hayashi (born 1949) is a Japanese mathematics educator, historian of mathematics specializing in Indian mathematics. Hayashi was born in Niigata, Japan
Takao_Hayashi
Symbols 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9
S2CID 170783929. Hayashi, Takao (1995). The Bakhshālī Manuscript: An Ancient Indian Mathematical Treatise. Groningen, Netherlands: Egbert Forsten. ISBN 906980087X
Arabic_numerals
Public university in Patna, Bihar, India
in Mithapur, Patna, Bihar, India. It is named after the Father of Indian Mathematics and astronomer Aryabhatta. As per 2022-23, it is a statutory requirement
Aryabhatta Knowledge University
Aryabhatta_Knowledge_University
Some ideas on calculus later appeared in Indian mathematics, at the Kerala school of astronomy and mathematics. Madhava of Sangamagrama in the 14th century
History_of_calculus
INDIAN MATHEMATICS
INDIAN MATHEMATICS
Boy/Male
Hindu, Indian, Tamil
South Indian Kings
Male
Romanian
Romanian form of Roman Latin Julianus, IULIAN means "descended from Jupiter (Jove)."
Male
English
English unisex name derived from the American state name, INDIANA means "land of the Indians."
Boy/Male
Hindu, Indian
Pilgrim of India; Name of Indian City
Girl/Female
English
The country India.
Boy/Male
Gujarati, Hindu, Indian, Kannada
Sun
Boy/Male
Indian, Tamil
Lord Indra
Male
English
English unisex name, derived from vocabulary word indigo, from Greek indikon, INDIGO means "blue dye from India."Â
Girl/Female
American, Australian, French
Land of Indians
Female
Hindi/Indian
(इनà¥à¤¦à¤¿à¤°à¤¾) Hindi myth name borne by Lakshmi, wife of Vishnu, INDIRA means "beauty."
Female
Hindi/Indian
(ইনà§à¦¦à§à¦°à¦¾à¦¨à§€) Ancient feminine form of Hindi Indra, INDRANI means "possesses a drop (of rain)."
Girl/Female
Bengali, Gujarati, Hindu, Indian, Jain, Kannada, Malayalam, Marathi, Mythological, Oriya, Sanskrit, Sindhi, Tamil, Telugu
Wife of Indra
Girl/Female
English American Biblical
The country India.
Girl/Female
Australian, British, English
From India
Girl/Female
Hindu
Wife of Lord Indra (Wife of Indra)
Girl/Female
Christian, Hindu, Indian
Born in India; Indian
Female
English
English name derived from the country name, INDIA means "land of the Indus (river)."Â
Girl/Female
Australian, British, English, French
The Country India; Land of the Indians
Male
English
Variant spelling of English Finnian, FINIAN means "little white one."
Male
English
Irish Anglicized form of Gaelic Finnén, FINNIAN means "little white one."
INDIAN MATHEMATICS
INDIAN MATHEMATICS
Girl/Female
Tamil
Sayshika | ஸயà¯à®·à¯€à®•à®¾
Boy/Male
Indian, Kannada, Tamil
Gem of the World
Boy/Male
Tamil
Lord Krishna
Girl/Female
Australian, French, Latin
Dalmatian Dogs; White Haired with Black Spots
Boy/Male
Sikh
Beloved, Friend, Comrade, Dear
Boy/Male
Indian, Tamil
Good
Boy/Male
American, Australian, British, English
From the Linden Tree Hill
Boy/Male
Hindu, Indian
An Ayurvedic Herb; Painter or Cheetah Depending Upon Usage
Boy/Male
Anglo Saxon
Brave.
Boy/Male
Muslim
Deliverance from hardships
INDIAN MATHEMATICS
INDIAN MATHEMATICS
INDIAN MATHEMATICS
INDIAN MATHEMATICS
INDIAN MATHEMATICS
n.
A median line or point.
n.
One of the aboriginal inhabitants of America; -- so called originally from the supposed identity of America with India.
n. pl.
A name designating the East Indies, also the West Indies.
pl.
of Indiaman
n.
An indigo-forming substance, found in urine, and other animal fluids, and convertible into red and blue indigo (urrhodin and uroglaucin). Chemically, it is indoxyl sulphate of potash, C8H6NSO4K, and is derived from the indol formed in the alimentary canal. Called also uroxanthin.
n.
A dark red crystalline substance, isomeric with and resembling indigo blue, and obtained from isatide and dioxindol.
v. t.
To indict; to accuse; to censure.
n.
A native or inhabitant of India.
n.
A glucoside obtained from woad (indigo plant) and other plants, as a yellow or light brown sirup. It has a nauseous bitter taste, a decomposes or drying. By the action of acids, ferments, etc., it breaks down into sugar and indigo. It is the source of natural indigo.
a.
Of or pertaining to the aborigines, or Indians, of America; as, Indian wars; the Indian tomahawk.
a.
Made of maize or Indian corn; as, Indian corn, Indian meal, Indian bread, and the like.
a.
Of or pertaining to India proper; also to the East Indies, or, sometimes, to the West Indies.
n.
A native of, or a dweller in, the East Indies.
n.
A country in Southern Asia; the two peninsulas of Hither and Farther India; in a restricted sense, Hither India, or Hindostan.
n.
A large vessel in the India trade.