list out the names of mathematicians mentioned in the given passage while tracing the growth of pi.
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Answer:
LIST OF IMPORTANT MATHEMATICIANS – TIMELINE
This is a chronological list of some of the most important mathematicians in history and their major achievments, as well as some very early achievements in mathematics for which individual contributions can not be acknowledged.
Where the mathematicians have individual pages in this website, these pages are linked; otherwise more information can usually be obtained from the general page relating to the particular period in history, or from the list of sources usedMath Timeline
Date
Name
Nationality
Major Achievements
35000 BCE
African
First notched tally bones
3100 BCE
Sumerian
Earliest documented counting and measuring system
2700 BCE
Egyptian
Earliest fully-developed base 10 number system in use
2600 BCE
Sumerian
Multiplication tables, geometrical exercises and division problems
2000-1800 BCE
Egyptian
Earliest papyri showing numeration system and basic arithmetic
1800-1600 BCE
Babylonian
Clay tablets dealing with fractions, algebra and equations
1650 BCE
Egyptian
Rhind Papyrus (instruction manual in arithmetic, geometry, unit fractions, etc)
1200 BCE
Chinese
First decimal numeration system with place value concept
1200-900 BCE
Indian
Early Vedic mantras invoke powers of ten from a hundred all the way up to a trillion
800-400 BCE
Indian
“Sulba Sutra” lists several Pythagorean triples and simplified Pythagorean theorem for the sides of a square and a rectangle, quite accurate approximation to √2
650 BCE
Chinese
Lo Shu order three (3 x 3) “magic square” in which each row, column and diagonal sums to 15
624-546 BCE
Thales
Greek
Early developments in geometry, including work on similar and right triangles
570-495 BCE
Pythagoras
Greek
Expansion of geometry, rigorous approach building from first principles, square and triangular numbers, Pythagoras’ theorem
500 BCE
Hippasus
Greek
Discovered potential existence of irrational numbers while trying to calculate the value of √2
490-430 BCE
Zeno of Elea
Greek
Describes a series of paradoxes concerning infinity and infinitesimals
470-410 BCE
Hippocrates of Chios
Greek
First systematic compilation of geometrical knowledge, Lune of Hippocrates
460-370 BCE
Democritus
Greek
Developments in geometry and fractions, volume of a cone
428-348 BCE
Plato
Greek
Platonic solids, statement of the Three Classical Problems, influential teacher and popularizer of mathematics, insistence on rigorous proof and logical methods
410-355 BCE
Eudoxus of Cnidus
Greek
Method for rigorously proving statements about areas and volumes by successive approximations
384-322 BCE
Aristotle
Greek
Development and standardization of logic (although not then considered part of mathematics) and deductive reasoning
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where was the passage ?...
Answer:
Madhava's work on the value of the mathematical constant Pi is cited in the Mahajyānayana prakāra ("Methods for the great sines"). While ...
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