Saturday, February 12, 2011

JURAGAN MATH MINGGU NI... OMAR KHAYYAM


Nama penuh beliau adalah Ghiyath al-Din Abu'l-Fath Umar ibn Ibrahim Al-Nisaburi al-Khayyami. Beliau dilahirkan pada 18 May 1048 in Nishapur, Persia (kini Iran) dan meninggal dunia di situ pada 4 Dec 1131.

Beliau mengetengahkan asas persamaan kubus menerusi segmen garisan yang melengkapi setiap bahagian bagi ciri reka bentuk terbabit.

Sumbangannya dalam algebra dikenali di serata Eropah dan lebih jelas lagi apabila turut membuat perubahan sistem kalendar ketika itu.

Khayyam membuat persamaan buku algebra yang dihasilkannya sebagai segitiga pascal.

Pemahaman algebra daripada perspektif Khayyam dikenali sebagai penyelesaian linear geometri dan persamaan kuadratik menerusi penggunaan kaedah yang wujud daripada elemen Euclid.
  Selain itu, beliau turut mengetengahkan definisi baru berhubung nisbah dengan memperkembangkan hasil kerja Euclid menerusi perkiraan dalam kepelbagaian nisbah.
 Lebih dikenali dengan penulisan sajak dan puisi. Malah yang paling dikenali adalah The Rubaiyyat of Omar Khayyam,


In the science of algebra one encounters problems dependent on certain types of extremely difficult preliminary theorems, whose solution was unsuccessful for most of those who attempted it. As for the Ancients, no work from them dealing with the subject has come down to us; perhaps after having looked for solutions and having examined them, they were unable to fathom their difficulties; or perhaps their investigations did not require such an examination; or finally, their works on this subject, if they existed, have not been translated into our language.


( general equation of cubic equation )


Khayyam, who stitched the tents of science,
Has fallen in grief's furnace and been suddenly burned,
The shears of Fate have cut the tent ropes of his life,
And the broker of Hope has sold him for nothing!

( petikan puisi mengenai dirinya sendiri )

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