First
of all I really think mathematics is a gold mine. The great civilizations have
the most prominent form of mathematics in their time. Where there is a great
civilization there is also an improvement in mathematics.
The
third installment of the Story of Maths focused on how Europe has taken over as
the powerhouse of Mathematics. From Middle East where just simple and concise
solving simple problems, in Europe Mathematics entered a whole new evolution
that links algebra and geometry. Rene Descartes for instance showed that a
curved line can be transformed or described into an equation. This served as a
foundation for modern mathematics and engineering.
Marcus
also examined the work of Pierre Fermat, one of his greatest work is the Last
Theorem which is considered as the most difficult mathematical problem prior to
the 1995 proof by Andrew Wiles. This problem puzzled mathematicians for about
350 years or so it says that no three positive integer a,b and c can satisfy
the equation an + bn = cn for any integer value of n greater than
two. This is an amazing property of prime numbers. One of Fermat’s theorem is
protecting our credit cards transaction on the internet. Just Wow, Such
Brilliance.
Marcus
also went to England to examine Isaac’s Newton’s development of calculus.
Although Isaac Newton is associated and greatly in his works in physics like
the Gravity and alike, his work in calculus gives us a better understanding in
the behavior of moving objects and it is used by every engineer nowadays.
Other
great mathematicians in Europe were Leonard Euler the father of topology and
Carl Friedrich Gauss who was responsible for inventing modular arithmetic.
Gauss just Pierre made major breakthroughs in understanding prime numbers.
Riemann also developed theories on prime number again which had important point
views on properties of objects which he sees that manifolds that could exist in
multi-dimensional space. Prime numbers at this time were pretty much the talk
of the town in the Mathematiciansville.
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