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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
1
4
1
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11S?
Could I be a millionaire?
? 2S
...........2
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11
....8
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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?