The importance of mathematics
The everyday use of arithmetic and the
display of information by means of graphs,
are an everyday commonplace. These are
the elementary aspects of mathematics.
Advanced mathematics is widely used, but
often in an unseen and unadvertised way.
The mathematics of error-correcting
codes is applied to CD players and to
computers.
The stunning pictures of far away planets
sent by Voyager II could not have had
their crispness and quality without such
mathematics.
Voyager's journey to the planets could not
have been calculated without the
mathematics of differential equations.
Whenever it is said that advances are
made with supercomputers, there has to
be a mathematical theory which instructs
the computer what is to be done, so
allowing it to apply its capacity for speed
and accuracy.
The development of computers was
initiated in this country by mathematicians
and logicians, who continue to make
important contributions to the theory of
computer science.
The next generation of software requires
the latest methods from what is called
category theory, a theory of mathematical
structures which has given new
perspectives on the foundations of
mathematics and on logic.
The physical sciences (chemistry, physics,
oceanography, astronomy) require
mathematics for the development of their
theories.
In ecology, mathematics is used when
studying the laws of population change.
Statistics provides the theory and
methodology for the analysis of wide
varieties of data.
Statistics is also essential in medicine, for
analysing data on the causes of illness and
on the utility of new drugs. .
Travel by aeroplane would not be
possible without the mathematics of
airflow and of control systems.
Body scanners are the expression of
subtle mathematics, discovered in the
19th century, which makes it possible to
construct an image of the inside of an
object from information on a number of
single X-ray views of it. Thus mathematics
is often involved in matters of life and
death.
These applications have often developed
from the study of general ideas for their own
sake: numbers, symmetry, area and volume,
rate of change, shape, dimension,
randomness and many others. Mathematics
makes an especial contribution to the study
of these ideas, namely the methods of
precise definitions;
careful and rigorous argument;
representation of ideas by many methods,
including symbols and formulae, pictures
and graphics;
means of calculation;
and the obtaining of precise solutions to
clearly stated problems, or clear
statements of the limits of knowledge.
These features allow mathematics to
provide a solid foundation to many aspects
of daily life, and to give a comprehension of
the complexities inherent in apparently quite
simple situations.
For these reasons, mathematics and
calculation have been associated from
earliest times. In modern times, the need to
perform rapid mathematical calculations in
war time, particularly in ballistics, and in
decoding, was a strong stimulus to the
development of the electronic computer.
The existence of high speed computers has
now helped mathematicians to calculate and
to make situations visual as never before.
Also this calculation has developed from
numerical calculation, to symbolic
calculation, and currently to calculation with
the mathematical structures themselves. This
last is very recent, and is likely to lead to a
major transformation. These capacities
change, not the nature of mathematics, but
the power of the mathematican, which
increases perhaps a millionfold the
possibility to comprehend, to argue, to
explore.
There is also a reverse interaction.
The notion of computing would not have
made sense without Mathematics, and it
was the analysis of the methods of
Mathematics by mathematicians,
philosophers, logicians and engineers which
led to the concept of a programmable
computer
. Indeed, two mathematicians, von Neumann
in the USA and Turing in the UK, are known
as the fathers of the modern computers.
Analysis of computing, and attempts to
make it as reliable as possible, needs deep
Mathematics, and this need is likely to grow.
A computer, unless it is programmed, is just
a box made of metal, glass, silicon, etc.
Programming expresses algorithms in a
form suitable for the computer. Mathematics
is needed as a language for specification, for
determining what is to be done, how and
when, and for the verification that the
programs and algorithms work correctly.
Mathematics is essential for the correct use
of computers in most of their applications
and the mathematical needs of computing
have sparked off many new and exciting
questions. Thus computers, while they have,
fortunately, done away with the need for
humans to carry out routine calculations,
have also required from mathematicians a
deeper analysis of the process and logic of
computation, and its representation in a
machine.
The imagination of mathematicians is also
stirred by its rigorous nature, which forces
them to follow through the logic of their
ideas. There are many examples of
mathematicians producing apparently
strange and inapplicable theories, noting
simply that this is the way the mathematics
seems to go, only to find these vindicated
perhaps decades later by surprising
applications. A recent example is the theory
of knots, which was developed as a part of
pure mathematics since 1870. A wonderful
advance in 1985 showed how the theory
could be applied in physics in relation to
quantum theory, and in biology in relation
to the way DNA unknots itself before
dividing. Similarly, modern notions of chaos
and fractals were pioneered by
mathematicians in the early years of this
century. Now fractals are a practical tool for
compressing data on computer discs.
The study of mathematics can satisfy a wide
range of interests and abilities. It develops
the imagination. It trains in clear and logical
thought. It is a challenge, with varieties of
difficult ideas and unsolved problems,
because it deals with the questions arising
from complicated structures. Yet it also has
a continuing drive to simplification, to
finding the right concepts and methods to
make difficult things easy, to explaining why
a situation must be as it is. In so doing, it
develops a range of language and insights,
which may then be applied to make a crucial
contribution to our understanding and
appreciation of the world, and our ability to
find and make our way in it.

Choi...This article 'd have make a good read.

OP...I suggest you should do the needful, Modify and space the work for clarity sake.
Jstmy2cent.