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

Pre-amble

Wishing you all a very eventful

National Science Day

28 Feb 2015

Tributes to

S Chandrashekar, 1983

Venky Ramakrishnan, 2009

C V Raman, 1930

Honouring Mathematicians

Ramanujan, S

Manjul Bhargava, 2014

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

What is Mathematics?

Mathematics is

• Arithmetic

• Algebra

• Geometry

• Trigonometry

• Calculusetc..

Rather, it is

• Play

• Tool

• Design

Talk explores

• Play– Magic– Puzzle– Game

• Tool – Tools for thinking– Tools for solving (How?)– Tools for understanding (Why?)

• Design– Science– Mathematics– Engineering

Magic Time

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

Observe

• 1• 2• 3• 4• 5• 6• 7• 8• 9

• -• Prime• Prime• Composite• Prime• Composite• Prime• Composite• Composite

Notice• 2

• 3

• 5

• 7

• Prime

4

• 4

• 6

• 8

• 9

• Composite

What’s it?

"Wow! I made a great discovery!"

3.14159IT

Talk explores

• Play– Magic– Puzzle– Game

• Tool – Tools for thinking– Tools for solving (How?)– Tools for understanding (Why?)

• Design– Science– Mathematics– Engineering

Brain as a tool…

Synesthesia

number line or number curve?

tools…

tools…

tools…

Talk explores

• Play– Magic– Puzzle– Game

• Tool – Tools for thinking– Tools for solving (How?)– Tools for understanding (Why?)

• Design– Science– Mathematics– Engineering

Experiment

Design of a cricket ball

Video2

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!!

Design disaster!

Mars Climate Orbiter Satellite 1998 - 99

Design process

Problem

Solution

BuildTest

Implement

Design Process

• Phenomena

• Principles

Science

• Models

• Calculations

Mathematics• Materials

• Integration

Applications

Spirit of Inquiry

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.

Thank You