MATHEMATICS IS MORE IMPORTANT THAN YOU MIGHT THINK ….

BY

SHIVA KRISHNA REDDY CH.....

IIMC HYD.

SOME COMMON VIEWS OF MATHEMATICS

MATHS IS HARD

MATHS IS BORING

MATHS HAS NOTHING TO DO WITH REAL LIFE

BUT I CAN SHOW YOU THAT MATHS IS IMPORTANT IN

EVERYDAY LIFE AND CRIME DETECTION MEDICINE

FINDING LANDMINES

AND MANY OTHER CAREERS!!!!!!!!!

A. COOKING WHEN WE COOK WE NEED TO MEASURE THE INGREDIENTS IN TERMS OF TABLESPOONS,TEASPOON,OUNCES,GRAMS,KILOGRAMS ETC.IF WE ARE PREPARING MEALS FOR MANY PEOPLE,WE WILL NEED TO CONVERT THE MEASUREMENTS ACCORDINGLY.MESSING UP WITH THE MEASUREMENTS CAN RESULT IN DISASTROUS MEALS.\

B. GROCERY SHOPPING IN GROCERY OR ANY OTHER SHOPS,MATHS IS USED FOR BILLING OR FOR CALCULATING THE AMOUNT OF THE MONEY YOU HAVE TO PAY AND THE MONEY SAVED.

C. DIET PEOPLE WHO ARE OVER WEIGHT

NEED TO BE CONSCIOUS OF THEIR CALORIE INTAKE.ESPECIALLY IF THEY ARE ON SPECIAL WEIGHT LOSS DIET,KNOWLEDGE OF MATHS IS NEEDED TO CALCULATE THE TOTAL AMOUNT OF CALORIES CONSUMED IN A DAY,ONE WEEK,AND ONE MONTH

D. BUDGET IF WE ARE NOT KNOWING HOW

MUCH MONEY WE HAVE AND HOW MUCH WE ARE ALLOWED TO SPEND IS A DEFINITE WAY OF LANDING OURSELF IN THE LAP OF CREDIT.EVEN IF WE ARE NOT PAYING THE ELECTRICITY BILL,WATER BILL OR CABLE TV BILLS, ONE BILL THAT YOU DEFINITELY CANNOT ESCAPE IS THE RESTAURANT BILL. RESTAURANTS ARE PLACES WHERE YOUR MATHS KNOWLEDGE BECOMES SO USEFUL.

They look for skid marks and measure them. Then use a certain formula S= 15.9 √df To figure out if the accident was preventable. Helps find the quickest route to a citizen in

trouble. (Geometry)Find out how many crooks you need to bust

to make your town twice as safe.(Algebra) In order to become a cop you need to pass a

test and math is required.(fact)

Maths and crime: Deblurring a number plate

A short crime story

• Burglar robs a bank

• Escapes in a getaway car

• Pursued by police

Nasa

GOOD NEWS

Police take a photo

BAD NEWS

Photo is blurred

SOLUTION

Find a model of the blurring process

Original image

f

Blurred image

h

• Blurring formula

• Inverting the formula we can get rid the blur

• BUT need to know the blurring function g

Blurring function g

ydygyxfxh 2)()()(

An example of Image Processing

2// 222 dxgdexhdeef xixiyi

Inversion formula

h(x) f(x)

Maths is widely used in the forensic service!!

HOW MATHS WILL GET YOU ON TV

PICTURES AND IMAGES ARE ALL AROUND US

• TV

• DVD

• COMPUTER GRAPHICS

• SPECIAL EFFECTS

IMAGES ARE STORED AS NUMBERS – bitmap

USING THESE NUMBERS WE CAN PROCESSTHE PICTURES BY USING MATHEMATICS

MATHS AND MEDICINE

Modern medicine has been transformed by methods of seeing

Inside you without cutting you open!

• Ultra sound: sound waves

• MRI: magnetism

• CAT scans: X rays

ALL USE MATHS TO WORK!!

13

detectors

Modern CAT scanner & MRI

Lots of mathematicians work in medicine

This has been physics and engineering so far, but we are now ready to This has been physics and engineering so far, but we are now ready to add the MATH! add the MATH!

In CAT Scans (Computer Aided Tomography) and MRI’s (Magnetic Resonance In CAT Scans (Computer Aided Tomography) and MRI’s (Magnetic Resonance Imaging), and similar diagnostic technologies, images are made from thousands, Imaging), and similar diagnostic technologies, images are made from thousands, even millions of different perspectives –– even millions of different perspectives ––

and mathematics is used to integrate the information from all these perspectives into and mathematics is used to integrate the information from all these perspectives into a single THREE-dimensional digital image!.a single THREE-dimensional digital image!.

This new use of mathematics has revolutionized diagnostic medicine, yet few in our This new use of mathematics has revolutionized diagnostic medicine, yet few in our society recognize it as new mathematics helping all of us! society recognize it as new mathematics helping all of us!

FINALE: USING MATHS TO FIND

ANTI-PERSONEL LAND MINES

Land mines are hidden in foliage and triggered by trip wires

Land mines are well hidden .. we can use maths to find them

Find the trip wires in this picture

Digital picture of foliage is taken by camera on a long pole

Image intensity f(x,y)

••

•

•

Trip wires are like X-Rays

Radon transform

x

y

f(x,y) R(ρ,θ)

Points of high intensity in R correspond to trip wires

θ

ρ

Isolate points and transform back to find the wires

Mathematics finds the land mines!

Who says that maths isn’t relevant to real life?!?

Some interesting mathematical facts

• Over 70% of all jobs require maths

• On average maths graduates earn more than any other profession

• Many degrees require maths including statistics, physics, engineering, economics, chemistry, medicine, IT, computer games, computer science, social-science, psychology, fashion design, business studies, accountancy, actuarial studies, electronics, aeronautics, cryptography, ..

• Without maths we would have no TV, mobile phones, Internet, credit cards, computer games, CDs, Radar, aeroplanes, DNA profiling, …

• Maths is vital working out your mortgage payments, APR calculations, family budget