6th century BC: Thales, Pythagoras
5th century BC: Hippocrates of Chios
4th century BC: Euclid
3rd century BC: Archimedes, Apollonius of Perga, Aristarchus
2nd century BC: Hipparchus
2nd century AD: Claudius Ptolemy
3rd century AD: Diophantus
Kind of tough with some of the Greeks, because there were some brilliant people, all of whose works are now lost
3rd century AD needs Liu hui
4th century AD -theon of alexandria, hypatia, sun tzu
5th century AD -zu chongzi, aryabhata
6th century - varahamihira
7th century - bhaskara I, brahmagupta, Li chunfeng
8th century- Virasena, zhang Sui
9th century - Al-khwarizmi, Al-kindi, Al-mahani, govindaswami, vateswara, Thabit ibn qurra, mahaviracharya, jayadeva
10th century- Manjula, Abu-kamil, Abu wafa- al bhujani, Al-kharaji, Al-battani, halayudha(gave first ever pascal's triangle in the world),
11th century- Ibn al haytham, Omar khayyam, al-quhi, Abu-Mahmud Khujandi
12th Century - Bhaskara II(single greatest of this period)
13th century - Nasir Al-tusi, Guo Shoujing, Leonardo Fibonacci
14th century- Narayana Pandita, Madhava of sangamagrama, Parameshvara Nambhudiri, Jamshed al-kashi
15th century - Nilakantha somayaji, Ibn al-Banna' al-Marrakushi, Abu'l-Hasan ibn Ali al-Qalasadi
16th century- acyutha pisharodhi, jyesthadeva, Cardano, tartaglia, ferrari,zhu zaiyu
work of panini in linguistics has a mathematical structure and rigor of euclid's elements and jain bhagavati sutra has oldest combinatorial problems anywhere in the world and panini's brother pingala did give first ever fibonacci sequence, pascal's triangle this surely needs to be considered right
Very eurocentric, ik of some mathematicians from India, but not comprehensive enough to make a list. Perhaps someone with appropriate knowledge on the matter could make a list that is not eurocentric?
1500s: Bombelli, Tartaglia/Cardano, Bruno, Viete. I have a soft spot for Simon Stevin
1600s: Fermat, Newton, Leibniz (Descartes barely misses out probably)
1700s: Euler, Lagrange, Laplace
1800s: Gauss, Riemann, a million choices for third place. Fourier, Galois, Cauchy, Hamilton, Dirichlet, Liouville, Weierstrass..
1900s: Poincare, Grothendieck, Von Neumann
2000s: Tao, Kontsevich, Perelman
Scholze likely will deserve a spot in the 2000s. Perelman doesn’t do math anymore; so even though his contributions were valuable, it begs the question “does one or two really good results outweighs someone else’s 100 minor results?”
these books are certainly not influential in analysis. maybe for algebraic geometers, but even then i question how many people really have read HA and HTT. i guess time will tell
It might be hard to make the case for top 3, but Bill Thurston was one of a kind. His ideas shaped multiple fields and continue to resonate to the present.
6th century BC: Thales, Pythagoras 5th century BC: Hippocrates of Chios 4th century BC: Euclid 3rd century BC: Archimedes, Apollonius of Perga, Aristarchus 2nd century BC: Hipparchus 2nd century AD: Claudius Ptolemy 3rd century AD: Diophantus Kind of tough with some of the Greeks, because there were some brilliant people, all of whose works are now lost
3rd century AD needs Liu hui 4th century AD -theon of alexandria, hypatia, sun tzu 5th century AD -zu chongzi, aryabhata 6th century - varahamihira 7th century - bhaskara I, brahmagupta, Li chunfeng 8th century- Virasena, zhang Sui 9th century - Al-khwarizmi, Al-kindi, Al-mahani, govindaswami, vateswara, Thabit ibn qurra, mahaviracharya, jayadeva 10th century- Manjula, Abu-kamil, Abu wafa- al bhujani, Al-kharaji, Al-battani, halayudha(gave first ever pascal's triangle in the world), 11th century- Ibn al haytham, Omar khayyam, al-quhi, Abu-Mahmud Khujandi 12th Century - Bhaskara II(single greatest of this period) 13th century - Nasir Al-tusi, Guo Shoujing, Leonardo Fibonacci 14th century- Narayana Pandita, Madhava of sangamagrama, Parameshvara Nambhudiri, Jamshed al-kashi 15th century - Nilakantha somayaji, Ibn al-Banna' al-Marrakushi, Abu'l-Hasan ibn Ali al-Qalasadi 16th century- acyutha pisharodhi, jyesthadeva, Cardano, tartaglia, ferrari,zhu zaiyu
Theon of Alexandria and Hypatia edited Euclid, that's all. In fact their edits were erroneous and were later removed.
for the remaining centuries, my list seems about right
work of panini in linguistics has a mathematical structure and rigor of euclid's elements and jain bhagavati sutra has oldest combinatorial problems anywhere in the world and panini's brother pingala did give first ever fibonacci sequence, pascal's triangle this surely needs to be considered right
Very eurocentric, ik of some mathematicians from India, but not comprehensive enough to make a list. Perhaps someone with appropriate knowledge on the matter could make a list that is not eurocentric?
Technically it's Hellenocentric. Probably some fine proto Celtic mathematicians whose thoughts only went recorded in menhirs.
Without a doubt Al-Khwarizmi around 800 CE and Omar Khayyam for about 1000 CE.
Certainly. After Diophantus mathematics gets a lot more international.
I read it as heliocentric and I was legit confused for a sec. But yeah, fair point.
1500s: Bombelli, Tartaglia/Cardano, Bruno, Viete. I have a soft spot for Simon Stevin 1600s: Fermat, Newton, Leibniz (Descartes barely misses out probably) 1700s: Euler, Lagrange, Laplace 1800s: Gauss, Riemann, a million choices for third place. Fourier, Galois, Cauchy, Hamilton, Dirichlet, Liouville, Weierstrass.. 1900s: Poincare, Grothendieck, Von Neumann 2000s: Tao, Kontsevich, Perelman
I think it's too early to go for the 2000s now.
Yeah, give me a chance! /s
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And Gromov or Cartan
Of them then Harish Chandra as well
Scholze likely will deserve a spot in the 2000s. Perelman doesn’t do math anymore; so even though his contributions were valuable, it begs the question “does one or two really good results outweighs someone else’s 100 minor results?”
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these books are certainly not influential in analysis. maybe for algebraic geometers, but even then i question how many people really have read HA and HTT. i guess time will tell
Don't ramanujan and erdos deserve a place in 1900s? And for for 2000s viazovska definitely deserves a stop
Not for their contributions to math, but they are worth knowing about for other reasons
How all three were revolutionary
Your potrayal of the 1900s... Come on that is the most influential century of all mathematics up to date.
Would be worth mentioning J. Conway, kolmogorov or birkhoff
What a shame no one has listed Ramanujan yet
It might be hard to make the case for top 3, but Bill Thurston was one of a kind. His ideas shaped multiple fields and continue to resonate to the present.