6. Famous Mathematicians quoted…
Mathematics is “the Queen of Sciences”
- Carl Friedrich Gauss
“…as far as the laws of mathematics refer to reality, they
are not certain; and as far as they are certain, they do not
refer to reality.”
- Albert Einstein
“The universe cannot be read until we have learned the language and become
familiar with the characters in which it is written. It is written in mathematical
language....Without these, one is wandering about in a dark labyrinth.”
- GalileoGalilei
9. The reasons for choosing
mathematics as my major:
■ I grew an interest in basic arithmetic as an elementary student; I loved manipulating
numbers using addition, subtraction, multiplication, and division.
– I love how mathematics worked and questioned why things work the way they do.
■ Calculus,Algebra, and Geometry opened up my mind about how numbers and theories can
be applied to the world.
■ Mathematics is important in fields such as engineering, medicine, finance, space, etc.
11. Gaussian Curvature (k)
Imagine a flat piece of paper…
The paper is considered to have a Gaussian curvature of 0. Even if you bend it or roll it into a tube
or cone, the Gaussian curvature is still 0.As long as the paper have no wrinkles or tears when you
flatten it, the shape itself remains 0.
Take the paper and wrap it around a sphere. No matter how much you try
to make it smooth, you will wrinkle the sheet. If you create wrinkles on the
sheet, the shape will have a positive Gaussian curvature.
If you try to wrap the paper over a saddle-shaped surface, the paper will tear or
even wrinkle a lot in the middle. If the paper tears and wrinkles to the middle,
the shape has a negative curvature.
12. In nature, plants grow
leaves that can be
curved or wrinkled,
depending on the rate
that the edges of the
leaf grow, which can
change the Gaussian
curvature.
15. Life Mission
■ While mathematics offers a wide range of options I can choose from, I am still deciding
on what career path I would like to pursue.
■ I’ve always enjoyed helping people out, whether it involves planning, tutoring, or
giving advice to friends and family.
– Possibly become a teacher, educator, or consultant
■ I love to travel around and explore new cities; thus, I hope that my career involves me
traveling and exploring.
