α

α

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γ γ Shivaji

W. L . Giles Distinguished Professor

Department of Mathematics Director, Center for

Computational Sciences Mississippi State University

Abstract

‘’In Mathematics it is not enough to read the words - you have to hear the music.’’

– J. L. Kelly

Once you hear this music, mathematics simply ROCKS.

In this talk, I will present a tiny introduction to the beauty of mathematics and its importance. Also, I will introduce some of my current research topics.

Beauty of learning Mathematics

What is an (university) education?

• Learning how to learn

What is best way of doing this?

• Basic degree in Mathematics

• Helps you to model any problem in a careful and very systematic way and analyze the problem in a logical and precise manner

• Mathematics is the best (the only) language to achieve this.

• Queen of languages

• Mathematical training helps you to go into any field later and to excel in that field – Not by just using “mathematics”

– But by using the logical process you learn while studying mathematics

Beauty of learning Mathematics

Beauty of learning Mathematics

Physicists defer to Mathematicians – Mathematicians defer to no one (well, maybe God)

Naren’s story

Doing the Math to Find the Good Jobs Mathematicians Land Top Spot in New Ranking of Best Occupations in the U.S.

"It's a lot more than just some boring subject that everybody has to take in school," says Ms. Courter, a research mathematician at mental images Inc., a maker of 3D-visualization software in San Francisco. "It's the science of problem-solving."

“… just look at where the

mathematicians are now. They're helping to map out advertising

campaigns, they're changing the nature of research in newsrooms and in biology labs, and they're

enabling marketers to forge new one-on-one relationships with

customers. As this occurs, more of the economy falls into the realm of

numbers.”

“Says James R. Schatz, chief of the mathematics research group at the

National Security Agency: ‘There has never been a better time to be

a mathematician.’”

Math will Rock your World

Goldman's startup, Inform Technologies LLC, is a robotic librarian. Every day it combs through thousands of press articles and blog posts in English. It reads them and groups them with related pieces. Inform doesn't do this work alphabetically or by keywords. It uses algorithms to analyze each article by its language and context. It then sends customized news feeds to its users, who also exist in Inform's system as -- you guessed it -- math.

Neal Goldman is a math entrepreneur. He works on Wall Street, where numbers rule. But he's focusing his analytic tools on a different realm altogether: the world of words.

How do you convert written words into math? ... Imagine an object floating in space that has an edge for every known scrap of information. It's called a polytope and it has near-infinite dimensions, almost impossible to conjure up in our earthbound minds. It contains every topic written about in the press. And every article that Inform processes becomes a single line within it. Each line has a series of relationships. A single article on Bordeaux wine, for example, turns up in the polytope near France, agriculture, wine, even alcoholism. In each case, Inform's algorithm calculates the relevance of one article to the next by measuring the angle between the two lines.

American Mathematical

Society

www.ams.org

The authors of the essays in the this volume describe a wide variety of careers for which a background in

the mathematical sciences is useful. Each of the jobs presented

show real people in real jobs… There are really no limits to what

you can do if you are well prepared in mathematics.

Careers in Mathematics

Famous Tennis Player

Virginia Wade (Wimbledon Champion)

B.S. in Mathematics &

Physics

Sussex University

Math Teacher / Tennis Coach

Math Teacher / Tennis Coach

Basketball Players

David Robinson B.S. in Mathematics

Michael Jordan Math Major up

to junior year

Famous Math Majors

W. J . Perry (Former Secretary of

Defense) B.S., M.S., Ph.D. in

Mathematics

Corazon Aquino (Former President

Philippines) Math Minor

Larry Niven (Science Fiction Writer)

Math Major

Famous Math Majors

Justice Harry Blackmun (Supreme Court Judge)

Math major

Teri Hatcher (Desperate Housewives actress)

Math and Engineering Major

Famous Math Majors

J.P. Morgan (American Financier) School of Boston for

Mathematics Specialization

Art Garfunkel (Poet, Singer)

M.A. Mathematics

A Shivaji Student

Formerly :

• Controller, North American Fleet Lease & Remarketing Operations

• Director , Financial Strategy

• Manager, Affiliate Financing

Education : Mississippi State University

Marion Harris

Director

Securitization

Ford Motor Company

Dentist Doctor

Shivaji’s contacts

Diversity of Mathematics

Abel Ostrogadski Ito Jordan Kronecker Laplace Minkowski Gauss

Pascal Bessel Cauchy Noether Hilbert Riemann Schwarz Ulam

Newton Famous Mathematicians

Euler

Fourier Taylor Zermelo Dirac Yoccoz Weierstrass Volterra

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Limits: Concepts of Infinity

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IS DIVISION BY ‘0’ POSSIBLE ?

Limits: Concepts of Infinity

If division by 0 is possible ……

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Quick Quiz

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Answer from good listeners

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Answer from pattern recognition experts

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Who wants to be Millionaire?

• 1 • 1+1/2 • 1+1/2+1/3 • 1+1/2+1/3+1/4

• 1+1/2+1/3+1/4

+1/5+1/6+1/7+1/8

• ∑ 1/n ?????

.............5

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11S?

Could I be a millionaire?

? 2S

...........2

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I will be a millionaire!

How Math Can Be Boring

What is the area of a triangle?

Answer

bhA2

1

But why?

Just because a teacher told you?

Can you deduce it from something you already know ?

A good math student’s solution

bhA2

1

Area of a Circle?

Applications of Mathematics

American Mathematical Society

www.ams.org/mathmoments

SHIVAJI’S STUDENT Dr. Scott Caldwell Houston Crime department

What I do & enjoy as a professor

My Research Differential Equations Reaction Diffusion Equations

My Teaching Teaching excellence is a lifetime

pursuit

Teaching and research go

together

I love to work with students and

show them the beauty of

mathematics

A Story

Are you too lazy to think? Do you need to be spoon fed? Do you expect your teacher to lift you all the way up?

Thank You!

Questions?