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[PRELIMS Math] > Nature of Mathematics > Flashcards

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
Q

The Fibonacci sequence is named after Italian mathematician
_________________ which means Leonardo of Pisa, known as Fibonacci.

A

Leonardo Pisano

26
Q

Leonardo Pisano which means _____________, known as Fibonacci.

A

Leonardo of Pisa

27
Q

Leonardo Pisano (Fibonacci) Year?

A

1170-1250

28
Q

__________ is better known by his nickname Fibonacci.

A

Leonardo Pisano

29
Q

Leonardo Pisano was born in __________ but was educated in ________ where his father held a __________ post.

A

Italy
North America
Diplomatic

30
Q

Fibonacci was taught mathematics in _______ and travelled widely with his______, recognizing the enormous advantages of the ____________ used in the countries they visited.

A

Bugia
Father
Mathematical systems

31
Q
  • He was considered to be the most talented mathematician in the middle ages
  • “the most talented western mathematician” of the Middle Ages.
A

Leonardo Pisano

32
Q

In _________, Fibonacci wrote a very famous book “________” to describemathematics he learned.

A

1202
Liber abaci

33
Q

Fibonacci Sequence ThingsExamples:

A
  • Flower petals
  • Leaves
  • Spiral
  • Tree Branches
34
Q

Golden Ratio symbol in greek

A

“phi”

35
Q

The golden ratio is a special number approximately equal to _______.

A

1.618

36
Q

It appears many times in geometry, art, architecture and other areas.

A

The golden ratio

37
Q

The golden ratio, also known as the ____________

A

Divine Proportion

38
Q

The Golden Ratio is also sometimes called the _______, _____, ______, ______ ______, _________ and ________.

A

golden section
golden mean
golden number
divine proportion
divine section
golden rectangle
golden proportion.

39
Q

__________ 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.

A

The Golden Ratio

40
Q

Golden Ratio in Art Examples:

A
  • 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
Q

a/b = a+b/a =

A

1.618

42
Q

the Golden Ratio boils down to _________— creating and appreciating a sense of beauty through ________ and ________.

A

Aesthetic
Harmony
Proportion

43
Q

When applied to design, the Golden Ratio provides a sense of _____; an X-factor; a certain ____________

A

artistry
je ne sais quoi

44
Q

je ne sais quoi means

A

a quality that cannot be described or named easily.

45
Q

Golden Ratio in things Examples:

A
  • Sunflower
  • Spiral Aloe
  • Nautulis Shell
  • Human Face
46
Q

FORMS OF PATTERNS IN THE NATURE

FRUITS: A banana has ______ sections

A

3 Sections

47
Q

FORMS OF PATTERNS IN THE NATURE

FRUITS: An apple has _____ sections

A

5 Sections

48
Q
A

[PRELIMS Math] (4 decks)

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