This document discusses the prevalence and importance of mathematics in everyday life. It provides examples of how mathematics is used in areas like health, weather, transportation, society, and more. While some applications are directly observable, others involve more complex systems that are still being understood mathematically, like DNA. The document also discusses the historical foundations of mathematics over centuries, with concepts building upon each other like a pyramid, and provides a brief biography of the mathematician Aryabhata, who made important contributions in astronomy and mathematics.
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3. What Use In Maths In Everyday Life?
“Maths is all around us , its
everywhere we go”. It’s a lyric
that could go easily have been
sung by wet wet wet. It may not
have made it onto the four
wedding soundtrack, but it,
certainly would have been
profoundly true.
5. Mathematics is in principle inexpensive. As the old joke says, a
mathematician needs only paper, a pencil, an easy chair and a waste
basket. Also, the criterion for success in mathematics is by and large
universally accepted. This makes mathematics an attractive
'investment'. Moreover, a mathematical result is valid forever. It may
fall out of fashion, or fall outside the current area of application, but
even the oldest known mathematical formulae - such as that for
solving quadratic equations, known 2400 years ago by Babylonians,
Chinese and later the Greeks before being crystallized into its present
form in 1100 AD by a Hindu mathematician called Baskhara - are the
bread and butter of present-day elementary mathematics.
6. Alas, the downside is that the results are usually not immediately
applicable – and therein lies the risk. Who wants to 'invest' in
something that may not lead to applications for several hundred years?
The good news is that the distance between theory and application is
becoming shorter and shorter.
Mathematics can be compared to a pyramid. On the top of the pyramid
are applications of mathematics to health, weather, movies and mobile
phones. However the top of this pyramid would not be so high if its
base were not so wide. Only by extending the width of the base can we
eventually build the top higher. This special feature of mathematics
derives from its internal structure. A good modern application of
mathematics can typically draw from differential equations, numerical
analysis and linear algebra. These may very well draw from graph
theory, group theory and complex analysis. These in turn rest on the
firm basis of number theory, topology and geometry. Going deeper and
deeper into the roots of the mathematics, one ends up with such
cornerstones of logic as model theory and set theory.
8. It is clear that mathematics is heavily used in large industrial projects and in the
ever-growing electronic infrastructure that surrounds us. However, mathematics
is also increasingly infiltrating smaller scale circles, such as doctors' reception
rooms, sailboat design and of course all kinds of portable devices. There has also
been a change in the way mathematics penetrates our society. The oldest
applications of mathematics were probably in various aspects of measurement,
such as measuring area, price, length or time. This has led to tremendously
successful mathematical theories of equations, dynamical systems and so on. In
today's world, we already know pretty accurately for example the make-up of the
human genome, yet we are just taking the first steps in understanding the
mathematics behind this incredibly complex structure of three billion DNA base
pairs.
9. Our understanding of the mathematics of the whole universe of
heavenly bodies, even going back in time to the first second of its
existence, is better than our understanding of the mathematics of
our own genes and bodies.
What is the difference between the hereditary information encoded
in DNA and the information we have about the movements of the
heavenly bodies? Is it that we have been able to encapsulate the
latter into simple equations, but not the former? Or is it perhaps
that the latter has a completely different nature than the former,
one that makes it susceptible to study in terms of equations, while
the former comes from a world governed by chance, and algorithms,
a world of digital data, where the methods of the continuous world
do not apply?
11. In this mathematical projects that are in some way relevant,
directly or indirectly, to our everyday lives. We start with projects
that have apspecial issue on Mathematics for Everyday Life, we
present a selection of plications in the health sector and continue
with the closely related topic of image processing. We then go on to
the timely topic of weather (one of the prime examples of large-
scale computing), the effects of which are immediately felt when
the beach turns into a swamp, contrary to the weather report. We
present three projects in transportation, one on ships, one on trains
and one on cars. In the section on society we touch upon topics like
rating, trading and immigration. We also include two articles on
the topic of matheticmatics education. The special issue ends with
an article on a little mystery inside mathemas.
15. Aryabhata (476-550 CE) was the first in the line of
great mathematician- astronomers from the classical
age of indian mathematicians and indian astronomy.
His most famous works are aryabhitiya (499 CE, when
he was 23 years old) and the arya- siddhanta .
Aryabhatta mentions in the aryabhitiya that it was
compose 3,630 years into the kali yug, when he was
23 years old. This corresponds to 499 CE and implies
that he was born in 476.
19. He was a jain mathematician.
He celebrated work as GANITHASARANGRAHA.
He showed ability in quadratic equations,
inderminate equations.