ACTIVITY #2
Do as directed.
1. Write a short paper (maximum of 2 pages) about one of the following people
and his contribution/s to the topics discussed in the second module.
a. Gottfried Leibniz
Gottfried Leibniz was a German mathematician who developed the present day
notation for the differential and integral calculus though he never thought of the
derivative as a limit. His philosophy is also important and he invented an early
calculating machine.
The contributions of Gottfried in Mathematics, one of his great achievements in
mathematics was his development of the binary system of arithmetic. He
perfected his system by 1679 but he did not publish anything until 1701 when he
sent the paper Essay d'une nouvelle science des nombres to the Paris
Academy to mark his election to the Academy. Another major mathematical work
by Leibniz was his work on determinants which arose from his developing
methods to solve systems of linear equations.
b. Augustus de Morgan
His contributions to the mathematics were the relation algebra. His work 'Syllabus
of a Proposed System of Logic' was published in 1860. He framed the 'De
Morgan's Laws' and was the creator of the term 'mathematical induction'. In
his Trigonometry and Double Algebra (1849) he gave a geometric interpretation of
the properties of complex numbers (numbers involving a term with a factor of
the square root of minus one) that suggested the idea of quaternions, De
Morgan’s original contributions to mathematics were mainly in the fields of
analysis and logic. In an article written in 1838, he defined and invented the term
“mathematical induction” to describe a process that previously had been used —
without much clarity—by mathematicians. De Morgan’s greatest contribution to
scientific knowledge undoubtedly lay in his logical researches; and the
subsequent development of symbolic logic, with its powerful influences on both
philosophy and technology, owes much to his fundamental work.
c. Guiseppe Peano
Giuseppe Peano was the founder of symbolic logic and his interest centered on
the foundations of mathematics and on the development of a formal logical
language.
He invented 'space-filling' curves in 1890, these are continuous surjective
mappings from [0, 1] onto the unit square. Hilbert, in 1891, described similar
space-filling curves. It had been thought that such curves could not exist. And also
he embarked on a new and extremely ambitious project, namely the Formulario
Mathematico. In many ways this grand idea marks the end of Peano's
extraordinary creative work. It was a project that was greeted with enthusiasm by
a few and with little interest by most.
2. Write an essay to discuss why mathematics is a powerful language.
Math is a powerful because it can be used as a tool for global understanding and
communication. Using it, students can make sense of the world and solve
complex and real problems. It gives us a way to understand patterns, to quantify
relationships, and to predict the future. And the world is interconnected everyday
math shows these connections and possibilities. Mostly The earlier young learners
can put these skills to practice, the more likely we will remain an innovation
society and economy. The language of mathematics makes it easy to express the
kinds of thoughts that mathematicians like to express Mathematics makes sure
that bridges and buildings stay up. Mathematics allows your GPS to find the
shortest route for you in very little time. Mathematics reduces waste when used for
inventory control, for distribution networks, for product creation. Other reasons
why mathematics is powerful because math now contributes in direct and
fundamental ways to business, finance, health, and defense. First it is probably
the single most cited practical application for math in our everyday life. People
could make use of it to plan future expenditures or even set goals for themselves.
And then people could make use of it on home improvements. Basically some
basic math skills will enable you to determine how much material you need to
purchase to finish the project right. Mathematics could play a role in achieving
progresses on their weight goals. Because people have most likely to determine
first how much they are lifting. The uses of math for the layperson are essentially
endless. Personally I am able to use math from simple ways by calculating the
orders and expenses of my food. It can also help us to solve real-world problems
These are some questions which mathematics can help us solve. In our everyday
encounters, we perform many mathematical calculations throughout the day.
Sometimes, these calculations happen at the back of our mind. Mathematics can
help you to manage your money better. Knowing the difference between simple
interest and compound interest can affect the way you save and spend. And then
it can also develop our reasoning and logical skills when solving a mathematical
problem, we often break it down into smaller steps. Every individual step which
you take is used to support your subsequent arguments. Working towards the final
solution involves a lot of conscious and thoughtful reasoning. Learning
mathematics is not just about numerical reasoning. Geometry sharpens your
visual reasoning, while statistics can help you to get better at analytical reasoning.
These reasoning skills are highly beneficial when you start to make major
decisions in life. Mathematics also provides you with logic training. It helps you to
quickly understand the relationship between two concepts. As you solve a
problem, you would need to cover all possible grounds to ensure that your
arguments and proofs are watertight.
Submitted to: Prof. Eddie Cabrera
Submitted by: Mary Roan C. Delos Santos
