Mathematics in our World Flashcards
it is a formal system of thought for recognizing, classifying, and exploiting patterns - stewart, 1995
mathematics
the science that deals with the logic of shape, quantity and arrangement - hom, 2013
mathematics
an art, having an aesthetic and creative side
mathematics
Four Studies of Mathematics in our World
Mathematics in Counting, Mathematics as a Study of Patterns, Mathematics in Nature, Mathematics in Real Applications
this kind of mathematics is related to the type of any event or objects
Mathematics as a Study of Patterns
It connotes order, regularity and lawfulness
Pattern
Classification is in what pattern?
Logical Pattern
Partition
Logical Pattern
Problem/Solution
Logical Pattern
Evaluation
Logical Pattern
Chronology
Logical Pattern
Cause/Effect
Logical Pattern
If/Then
Logical Pattern
Motif or design depicting abstract nonrepresentational shapes
Geometric Patterns
Arrangement of number in such a way it follows a particular property or pattern
Number Patterns
Metrical patterns of poems
Word Patterns
Syntactic patterns of how we make nouns plural or verbs past tense
Word Patterns
Patterns in form and in syntax
Word Patterns
this kind of mathematics conveys The visible world is full of patterns that can be described mathematically
Mathematics in Nature
Rainbows
Mathematics in Nature
River Meanders
Mathematics in Nature
Shadows
Mathematics in Nature
Honeycombs
Mathematics in Nature
Spiderwebs
Mathematics in Nature
Animal Coats
Mathematics in Nature
this kind of mathematics is used as an essential tool in many fields
Mathematics in Real Applications
building block for everything in our daily lives
Mathematics in Real Applications
helps in making the world a better place to live in
mathematics
study of creating systems which make confidential info safe and secured
cryptography
This kind of mathematics is primitive
Mathematics in Counting
This sequence was founded by Leonardo Pisano Bigollo (1180-1250)
Fibonacci Sequence
This sequence made a big impact to nature
Fibonacci Sequence
Pineapples Grow in Numerical Sequence (In what sequence is this?)
Fibonacci Sequence
What is the formula of the Golden Ratio?
(a + b) / a
What is the equivalent value of the Golden Ratio?
1:1.61803 = phi
This spiral is exposed almost everywhere such as natural sciences, medicine, engineering, etc.
Fibonacci Spiral
it is a science of logical reasoning, drawing conclusions from assumed premises or strategic reasoning
mathematics
modified true or false: it is possible to give a good definition of mathematics in a sentence or two
possible -> impossible
modified true or false: mathematics in the modern world is a tiny body of knowledge and a very tiny area of study
tiny -> huge, very tiny -> very diverse
what kind of mathematics leads to the concepts of numbers, numerals, and the four fundamental operations
mathematics in counting
modified true or false: fibonacci sequence can be found in many natural patterns
true
fibonacci sequence was invented by the italian:
Leonardo Pisano Bigollo (1180 - 1250)
the inventor of fibonacci sequence is also known as
Leonardo of Pisa
fibonacci discovey of fibonacci sequence happened to approach the ratio asymptotically that is called the
golden ration
