## Indian MathematicsRodrigo Pardo, Camilo arevalo, isabela londoño

### TIMELINE

• 1100 BC: Vedic Maths: Base for al sciences used now a days
• 700 BC: Vedang Jyotish: A book that explains the importance of Ganic mathematics
• 400 BC: Surya Siddhantha: Book that has the roots of modern trigonometry
• 300 BC: Pingala: Mathematician that did a tremendous work in finding the Fibonacci sequence and Pascal's triangle
• 499 AC: Aryabhatta: Indian Mathematician and astronomer
• 550 AC: Varahamihra: One of the nine jewels in the court of Vikramaditya and a great astronomer
• 620 AC: Brahmaguptha: One of the famous ancient astronomer and mathematician who wrote famous "BRAHMAGUPTA SIDDHANTHA"
• 630 AC: Bhaskara-1: First mathematician to write numbers in Hindu-Arabic deicmal system
• 800 AC: Hindu Numerical System: Based on ten glyphs and is the base for the decimal number
• 816 AC: Mahavir: The first mathematician that asserted that there is no square root for -ve numbers
• 1000 AC: Ganit Mathematics: Ganit mathematics an ancient math found in India that has all the division, addition, etc in that time only.
• 1145 AC: Bhaskara: Mathematician that made a lot of contibutions to modern day math
• 1350 AC: Madhave Sangamagrama: First to develop infinite series of approximations
• 1500 AC: Nllakanta Somayaji: "Mostly famous for his unforgettable works on spherical geometry, algebra,calculus etc..."
• 1900 AC: Ramanujan: "Mostly famous for his unforgettable works on spherical geometry, algebra,calculus etc..."
Indian Numerals

### Four Events that Relate to Modern Math

• Nllakanta Somayaji This relates to our learning because this first bimester we started doing algebra with polynomials
• Ganit Mathematics: This relates to all of our learning in math because since we were young teachers have taught us the basics such as division, addition, subtraction, and multiplication
• Pingala: This past bimester we did a test on the Pascal triangles, and two yaers ago we studied Fibonacci sequence
• Hindu Numerical System: Even though it is written in Hindu t gave base to decimal numbers which we have seen since we started middle school

### Importnat Mathematicians

#### Srinivasa Ramanujan:

Ramanujan

-Born on 22 December 1887.

-Died on 26 April 1920.

-He lived during the British Raj.

-He had no formal training in pure mathematics.

-His own mathematic analysis was developed in isolation.

-Contributed to mathematical analysis, number theory, infinite series, and continued fractions.

-When his skills were recognized by Europe, he began a partnership with the English mathematician G. H. Hardy, a professor from Cambridge.

-Contributions on the theory of numbers.

A positive integer can be expressed as the sum of other positive integers.

(4= 3 + 1, 2 + 2)

-Died of tuberculosis

Ramanujan, also known as "The Man Who Knew Infinity"

#### Brahmagupta:

Brahmagupta

-Indian astronomer.

-Born on 598 CE.

-Died on 665 CE

-Very important Indian astronomer.

-Wrote a book called Brahma-sphuta-siddhanta where he wrote about astronomy and mathematics. -

Chapter 12 to 18: Devoted to his mathematic advances. -Invented 2 of the most important bases of Indian mathematics.

-pati-ganita: “mathematics of procedures,” or algorithms.

-bija-ganita: “mathematics of seeds,” or equations.

-He was one of the bases of arithmetics and algebra.

-Also defined zero as the subtraction of a number by itself.

-Gave rules of arithmetical operations between positive and negative numbers

. -Invented the formula for the area of a cyclic quadrilateral (a four-sided polygon whose vertices all reside on some circle).

Brahmagupta's Theorem
Brahmagupta

### The Story of Whole Numbers

Due to India’s great focus on finding enlightenment instead of military organization, they were able to create a system of different symbols for every number form one to nine called “Arabic Numerals”. This system was spread first to Islamic countries before reaching the European continent centuries earlier. Now days, we could say that the whole world owes to Indian culture the invention of the positional numbering system as well as the delivery of zero.

Since the Indian civilization was well known for it’s great developments in trade and commerce, it was about time before they were able to develop system of weights and measurements. Many discoveries prove that from 2,600-3,000 BCE, Indians already had developed decimal numbers.

The first time that the Arabic Numerals was the 28th of August in a document called Lokavibhaga or “Parts Of The Universe” that is the document that shows familiarity with the decimal numbers.

Transition from Hindu numerals to arabic numerals
Abacus: simple calculating tool
Binomial Theorem

#### References

• TimeRime.com - History of INDIAN mathematics timeline. N.p., n.d. Web. 12 June 2017. http://www.timerime.com/en/timeline/137011/History+of+INDIAN+mathematics/
• http://image.slidesharecdn.com/pascalstriangle-140219222731-phpapp02/95/pascals-triangle-1-638.jpg?cb=1392871296
• History of Numbers. N.p., n.d. Web. 12 June 2017. http://vedicsciences.net/articles/history-of-numbers.html
• History of Numbers. N.p., n.d. Web. 12 June 2017. http://vedicsciences.net/articles/history-of-numbers-part-2.html
• Brahmagupta - Buscar con Google. N.p., n.d. Web. 12 June 2017. https://www.google.com.co/search?q=brahmagupta&safe=strict&rlz=1C1JZAP_esCO713CO713&source=lnms&tbm=isch&sa=X&ved=0ahUKEwir1eeN6YDTAhWC7CYKHRVVAgMQ_AUICCgB&biw=1517&bih=735#imgrc=aFPETXCiaQe0uM
• Brahmagupta - Buscar con Google. N.p., n.d. Web. 12 June 2017. https://www.google.com.co/search?q=brahmagupta&safe=strict&rlz=1C1JZAP_esCO713CO713&source=lnms&tbm=isch&sa=X&ved=0ahUKEwir1eeN6YDTAhWC7CYKHRVVAgMQ_AUICCgB&biw=1517&bih=735#safe=strict&tbm=isch&q=srinivasa+ramanujan&*&imgrc=XNkp-5JDmzx9XM:
• Indianzionist2012. "BBC - History of Indian Mathematics Part-2 of 2." YouTube. YouTube, 01 Mar. 2013. Web. 12 June 2017. https://www.youtube.com/watch?v=DeJbR_FdvFM
• APA MLA Chicago
• Indianzionist2012. "BBC - History of Indian Mathematics Part-1 of 2." YouTube. YouTube, 01 Mar. 2013. Web. 12 June 2017.https://www.youtube.com/watch?v=pElvQdcaGXE
• Caddis2 Follow. "Life of ramanujan." LinkedIn SlideShare. N.p., 01 June 2013. Web. 12 June 2017. https://www.slideshare.net/caddis2/life-of-ramanujan
• "Guirnalda matemática." Guirnalda matemtica. N.p., n.d. Web. 12 June 2017. http://apolonio.es/guirnalda/la-formula-de-brahmagupta-por-al-shanni/
• "Home." Famous Scientists. N.p., n.d. Web. 12 June 2017. https://www.famousscientists.org/srinivasa-ramanujan/
• "Contribution of Ancient India towards Science and Mathematics." History Discussion - Discuss Anything About History. N.p., 08 Aug. 2015. Web. 12 June 2017. http://www.historydiscussion.net/history-of-india/contribution-of-ancient-india-towards-science-and-mathematics/2267

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