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WHAT WHAT IS IS MATHEMATICS? MATHEMATICS?

WHAT IS MATHEMATICS?. Mathematics is an endeavour of the human spirit

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Page 1: WHAT IS MATHEMATICS?. Mathematics is an endeavour of the human spirit

WHAT WHAT ISIS

MATHEMATICS?MATHEMATICS?

Page 2: WHAT IS MATHEMATICS?. Mathematics is an endeavour of the human spirit

Mathematics is an Mathematics is an endeavour of the endeavour of the

human spirithuman spirit

Page 3: WHAT IS MATHEMATICS?. Mathematics is an endeavour of the human spirit

The science of pure The science of pure mathematics, in its modern mathematics, in its modern developments, may claim to developments, may claim to

be the most original be the most original creation of the human spiritcreation of the human spirit

Francis BaconFrancis Bacon

Page 4: WHAT IS MATHEMATICS?. Mathematics is an endeavour of the human spirit

Axioms inAxioms inMathematicsMathematics

Page 5: WHAT IS MATHEMATICS?. Mathematics is an endeavour of the human spirit

Axiom of Axiom of Plane GeometryPlane Geometry

AB

Page 6: WHAT IS MATHEMATICS?. Mathematics is an endeavour of the human spirit

Mathematics can be divided Mathematics can be divided into 5 large domains:into 5 large domains:• Algebra

• Geometry

• Analysis

• Discrete Mathematics

• Probability & Statistics

Page 7: WHAT IS MATHEMATICS?. Mathematics is an endeavour of the human spirit

Is Mathematics an Is Mathematics an art or is it a art or is it a science?science?

Page 8: WHAT IS MATHEMATICS?. Mathematics is an endeavour of the human spirit

Mathematics, rightly viewed, possesses Mathematics, rightly viewed, possesses not only truth, but supreme beauty – a not only truth, but supreme beauty – a beauty cold and austere, like that of beauty cold and austere, like that of sculpture, without appeal to any part sculpture, without appeal to any part

of our weaker nature, without the of our weaker nature, without the gorgeous trappings of painting or gorgeous trappings of painting or

music, yet sublimely pure, and capable music, yet sublimely pure, and capable of a stern perfection such as only the of a stern perfection such as only the

greatest art can showgreatest art can show Bertrand RussellBertrand Russell

Page 9: WHAT IS MATHEMATICS?. Mathematics is an endeavour of the human spirit

If you ask me to choose If you ask me to choose between truth and beauty of between truth and beauty of mathematics, I would choose mathematics, I would choose

beautybeauty

Sir Michael Atiyah, Field medalist and Sir Michael Atiyah, Field medalist and former president of the royal society former president of the royal society

Page 10: WHAT IS MATHEMATICS?. Mathematics is an endeavour of the human spirit

HHow can it be that ow can it be that mathematics, being after all a mathematics, being after all a

product of human thought product of human thought independent of experience, is independent of experience, is so admirably adapted to the so admirably adapted to the

objects of realityobjects of reality

Sir Albert EinsteinSir Albert Einstein

Page 11: WHAT IS MATHEMATICS?. Mathematics is an endeavour of the human spirit

The prosperity of a state is The prosperity of a state is intimately linked to the intimately linked to the

progress of mathematicsprogress of mathematics

NapoleonNapoleon