Indian mathematics

E406333

Indian mathematics is the ancient and classical mathematical tradition of the Indian subcontinent, notable for foundational developments in arithmetic, algebra, and the concept of zero that significantly shaped later mathematical thought worldwide.

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Predicate Object
instanceOf history of mathematics topic
mathematical tradition
continent South Asia
surface form: Indian subcontinent
country India
culturalContext Buddhist scholarly tradition
Hindu scholarly tradition
Jain scholarly tradition
developedMethod chakravala method for solving indeterminate equations
geometric constructions using cords and altars
iterative methods for root extraction
series expansions for trigonometric functions
field algebra
arithmetic
astronomy
geometry
number theory
trigonometry
hasNotableConcept Brahmagupta–Fibonacci identity
Pascal-type triangle
Pell-type equations
algebraic methods in astronomy
approximations to π
binomial coefficients
combinatorics
cosine function
early calculus-like methods
early trigonometric functions
infinite series
magic squares
place-value notation
positional decimal numeral system
rule of three in arithmetic
sine function
solutions of indeterminate equations
solutions of quadratic equations
use of negative numbers
versine function
zero as a number
hasNotablePerson Aryabhata
Bhaskara I
Bhaskara I
surface form: Bhaskara II

Brahmagupta
Madhava of Sangamagrama
Mahavira (mathematician)
Manjulabhadra
Nilakantha Somayaji
Varahamihira
hasNotableSchool Jaina mathematical tradition
Kerala school of astronomy and mathematics
Vedic mathematical tradition
hasNotableWork Aryabhatiya
Bijaganita
Brahmasphutasiddhanta
Ganitasarasangraha
surface form: Ganita-sara-sangraha

Lilavati
Pancanga astronomical tables
Siddhanta Shiromani
Shulbasutras
surface form: Sulba Sutras

Yuktibhasa
influenced Islamic mathematics
development of modern numerals
global arithmetic practices
medieval European mathematics
introducedTo Europe via Arabic and Latin translations
Islamic world via translations
timePeriod Vedic period
classical period
medieval period
usedLanguage Prakrit
Sanskrit
usedScript Brahmi numerals
Nagari numerals

Referenced by (3)

Full triples — surface form annotated when it differs from this entity's canonical label.

Al-Khwarizmi influencedBy Indian mathematics
Aryabhata majorWorkSection Indian mathematics
this entity surface form: Ganita (mathematics) section of Aryabhatiya
Bibhutibhushan Datta notableWork Indian mathematics
this entity surface form: History of Hindu Mathematics