Section Two

Question 1

What’s the general timeline of Greek Mathematics?

Answer 1

Thales (600BC)
Euclid (300BC)
Archimedes, Apollonius (300BC)
   ≈≈-----≈≈
Ptolemy (200AD)
Hypatia (415AD)
   ≈≈-----≈≈
THE DEATH OF GREEK MATHEMATICS

**possibility of error here
TEA-PH. The Greeks probably didn’t have tea.

Question 2

Five Facts about Chinese Mathematics! (not covered by the Calendar Arithmetic and Two Differences questions)

Answer 2

Base 10 arithmetic

Books from the Han Dynasty around 300BC-300AD (similar time period as Roman/Greek mathematics)

Pythagorean theorem

Systems of equations / diophantine equations

Isolated

BB10PS &raquo_space;I

Question 3

Why was Calendar Arithmetic important to the Chinese?

Answer 3

They needed it for predicting astronomical events far into the future.

Question 4

What’s two big differences between Chinese and Greek mathematics?

Answer 4

Chinese relied heavily on arithmetic instead of geometry.

Chinese also didn’t develop any philosophy on math.

Question 5

What’s a possible reason the Chinese didn’t develop any math philosophy?

Answer 5

They had a training book for bureaucrats passed on from generation to generation. Explained what things were, but not why.

Question 6

When does Greek Mathematics Start? End?

Answer 6

600BC to 415AD

Question 7

When does Chinese Mathematics Start?

Answer 7

200BC

Question 8

When does Indian Mathematics Start?

Answer 8

300AD

Question 9

What began Indian Mathematics?

Answer 9

A unified empire that created the need for accountants.

Question 10

What were some big influences on Indian mathematics?

Answer 10

Greek, Babylonian, Egyptian! Connected to the West as well through Alexander the Great.

Question 11

What did Brahmagupta do, most importantly?

Answer 11

Indian mathematician that wrote a book on all math known at the time at around 600AD

Question 12

What were the two big changes embedded within India’s base ten arithmetic?

Answer 12

Place values + a symbol for zero, and

Negative numbers. WHOAAAAAAAAAA

Question 13

What were some fields of math that the Indians excelled in?

Answer 13

Fractions as numbers, the arithmetic of surds.

Question 14

Where does our modern number system come from?

Answer 14

India 600AD! (Arabic numerals are actually indian numerals)

Question 15

What is Heron’s Formula for the area of a triangle?

Answer 15

s = 1/2 * (a + b + c)
A = √[s(s-a)(s-b)(s-c)]

Question 16

What were the most important developments of Indian mathematics?

Answer 16

The development of place values, the number zero, and negative numbers.

Question 17

What comes after Indian mathematics?

Answer 17

Arabic/Islamic mathematics!

Question 18

What is Brahmagupta’s formula for cyclic quadrilaterals?

Answer 18

Cyclic Quadrilateral is a four-sided shape inscribed in a circle.

s = 1/2 * (a + b + c + d)
A = √(s-a)(s-b)(s-c)(s-d)

Question 19

What is the geometric proof that ab + h^2?

Answer 19

PLACEHOLDER I DON’T WANNA DO THIS RN

Question 20

Prove that π^2/6 = 1/n^2 !

Answer 20

Meh.