what is mathematics
TRANSCRIPT
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What is Mathematics?!Role of Mathematics in science and technology
Dr Srivatsa S KProfessor
Dept of Electrical and Electronics
24 Feb 2015 @ PES Polytechnic, Kuvempu Rangamandir
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Pre-amble
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Wishing you all a very eventful
National Science Day
28 Feb 2015
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Tributes to
S Chandrashekar, 1983
Venky Ramakrishnan, 2009
C V Raman, 1930
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Honouring Mathematicians
Ramanujan, S
Manjul Bhargava, 2014
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Also, Wishing you all a very
enLIGHTening
The International Year of Light is a global initiative which will highlight to the citizens of the world the importance of light and optical technologies in their lives, for their futures, and for the development of society. It is a unique opportunity to inspire, educate, and connect on a global scale.
Video1
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What is Mathematics?
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Mathematics is
• Arithmetic
• Algebra
• Geometry
• Trigonometry
• Calculusetc..
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Rather, it is
• Play
• Tool
• Design
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Talk explores
• Play– Magic– Puzzle– Game
• Tool – Tools for thinking– Tools for solving (How?)– Tools for understanding (Why?)
• Design– Science– Mathematics– Engineering
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Magic Time
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Guess
1 3 5 79 11 13 15 17 1921 23 2527 29 31
2 3 6 7
10 11 14 15
18 19 22 23
26 27 30 31
4 5 6 7
12 13 14 15
20 21 22 23
28 29 30 31
8 9 10 1112 13 14 1524 25 26 27 28 29 30 31
16 17 18 19
20 21 22 23
24 25 26 27
28 29 30 31
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Observe
• 1• 2• 3• 4• 5• 6• 7• 8• 9
• -• Prime• Prime• Composite• Prime• Composite• Prime• Composite• Composite
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Notice• 2
• 3
• 5
• 7
• Prime
4
• 4
• 6
• 8
• 9
• Composite
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What’s it?
"Wow! I made a great discovery!"
3.14159IT
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Talk explores
• Play– Magic– Puzzle– Game
• Tool – Tools for thinking– Tools for solving (How?)– Tools for understanding (Why?)
• Design– Science– Mathematics– Engineering
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Brain as a tool…
Synesthesia
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number line or number curve?
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tools…
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tools…
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tools…
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Talk explores
• Play– Magic– Puzzle– Game
• Tool – Tools for thinking– Tools for solving (How?)– Tools for understanding (Why?)
• Design– Science– Mathematics– Engineering
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Experiment
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Design of a cricket ball
Video2
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Design is everywhere
• Tooth brush (Physics of brushing)
• Soaps (Chemistry of cleaning)
• Pressure Cooker (Biology of Cooking)
• Cars and Bikes
• Games
• Auditorium
• Book layout
• Syllabus, Lectures and Exams!!
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Design disaster!
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Mars Climate Orbiter Satellite 1998 - 99
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Design process
Problem
Solution
BuildTest
Implement
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Design Process
• Phenomena
• Principles
Science
• Models
• Calculations
Mathematics• Materials
• Integration
Applications
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Spirit of Inquiry
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Galileo Galilee
(Natural) Philosophy is written in this grand book — I mean the universe — which stands continually open to our gaze, but it cannot be understood unless one first learns to comprehend the language in which it is written.
It is written in the language of mathematics, and its characters are triangles, circles, and other geometric figures, without which it is humanly impossible to understand a single word of it.
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Thank You