Nature of Mathematics Flashcards

Mathematics In The Modern World Prelims Exam

1
Q

______ of mathematics, _________ of its practical, _______ and aesthetic _______ and ______ of mathematical tools in daily life.

A

Nature
Appreciation
Intellectual
Dimension
Application

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2
Q

Nature by Numbers
A short movie by __________, 2010

A

Cristὁbal Vila

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3
Q

Mathematic is a formal system of thought for _____, ______ and _________ patterns

A

Recognizing
Classifying
Exploiting

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4
Q

Mathematics; Science and _______

A

Technology

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5
Q

Mathematics; the origin of ________

A

Counting

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6
Q

Mathematics; _______ patterns

A

Geometric

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7
Q

Mathematics; Wave patters in ______ and on ______.

A

Water
Land

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8
Q

Mathematics; Patterns of ________

A

Movement

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9
Q

It has Fractals

A

Mathematics

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10
Q

To help us unravel the puzzles of nature, a useful way to think about nature

A

Mathematics

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11
Q

Organize patterns and regularities as well as irregularities

A

Mathematics

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12
Q

Mathematics; To able to ____

A

Predict

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13
Q

Mathematics; To help us control ________, _________

A

Weather
Epidemics

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14
Q

Mathematics; Provides tools for _________

A

Calculations

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15
Q

It provides new questions to think about

A

Mathematics

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16
Q
  • With curiosity
  • With a penchant for seeking patterns and generalities
A

Mathematics

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17
Q
  • With a desire to know the truth
  • With trial and error
A

Mathematics

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18
Q
  • Without fear of facing more questions and problems to solve
  • With tenacity (willingness to keep working)
A

Mathematics

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19
Q

Importance of Mathematics

A
  • It gives order
  • It helps us become better persons
  • It helps the world a better place to live in
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20
Q

The Fibonacci numbers are the numbers in the following integer sequence, called the _____________.

A

Fibonacci Sequence

21
Q

the ____________ are the numbers in the following integer sequence, called the Fibonacci sequence

A

Fibonacci Numbers

22
Q

it characterized by the fact that every number after the first two is the sum ofthe two preceding ones.

A

Fibonacci Numbers

23
Q

The sequence Fn of Fibonacci Numbers Formula

A

Fn = Fn-1 + Fn-2

24
Q

____________ appear to have first arisen in perhaps ____ BC in workby ____________ a on enumerating possible patterns of poetry formed from syllables of two lengths.

A

Fibonacci Numbers
200 BC
Pingala

25
The Fibonacci sequence is named after Italian mathematician _________________ which means Leonardo of Pisa, known as Fibonacci.
Leonardo Pisano
26
Leonardo Pisano which means _____________, known as Fibonacci.
Leonardo of Pisa
27
Leonardo Pisano (Fibonacci) Year?
1170-1250
28
__________ is better known by his nickname Fibonacci.
Leonardo Pisano
29
Leonardo Pisano was born in __________ but was educated in ________ where his father held a __________ post.
Italy North America Diplomatic
30
Fibonacci was taught mathematics in _______ and travelled widely with his______, recognizing the enormous advantages of the ____________ used in the countries they visited.
Bugia Father Mathematical systems
31
- He was considered to be the most talented mathematician in the middle ages - “the most talented western mathematician” of the Middle Ages.
Leonardo Pisano
32
In _________, Fibonacci wrote a very famous book “________” to describemathematics he learned.
1202 Liber abaci
33
Fibonacci Sequence ThingsExamples:
- Flower petals - Leaves - Spiral - Tree Branches
34
Golden Ratio symbol in greek
"phi"
35
The golden ratio is a special number approximately equal to _______.
1.618
36
It appears many times in geometry, art, architecture and other areas.
The golden ratio
37
The golden ratio, also known as the ____________
Divine Proportion
38
The Golden Ratio is also sometimes called the _______, _____, ______, ______ ______, _________ and ________.
golden section golden mean golden number divine proportion divine section golden rectangle golden proportion.
39
__________ is a mathematical ratio. It is commonly found in nature, and when used in design, it fosters organic and natural looking compositions that are aesthetically pleasing to the eye.
The Golden Ratio
40
Golden Ratio in Art Examples:
- Pyramids in Giza - the Parthenon in Athens - Michelangelo’s The Creation of Adam on the ceiling of the Sistine Chapel - Da Vinci’s Mona Lisa - Apple - Toyota - Pepsi Logo
41
a/b = a+b/a =
1.618
42
the Golden Ratio boils down to _________— creating and appreciating a sense of beauty through ________ and ________.
Aesthetic Harmony Proportion
43
When applied to design, the Golden Ratio provides a sense of _____; an X-factor; a certain ____________
artistry je ne sais quoi
44
je ne sais quoi means
a quality that cannot be described or named easily.
45
Golden Ratio in things Examples:
- Sunflower - Spiral Aloe - Nautulis Shell - Human Face
46
FORMS OF PATTERNS IN THE NATURE FRUITS: A banana has ______ sections
3 Sections
47
FORMS OF PATTERNS IN THE NATURE FRUITS: An apple has _____ sections
5 Sections
48