Cambridge English For Schools Students Book 3 High Quality Free 26
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A child prodigy by age 11, he had exhausted the mathematical knowledge of two college students who were lodgers at his home. He was later lent a book written by S. L. Loney on advanced trigonometry.[22][23] He mastered this by the age of 13 while discovering sophisticated theorems on his own. By 14, he received merit certificates and academic awards that continued throughout his school career, and he assisted the school in the logistics of assigning its 1,200 students (each with differing needs) to its approximately 35 teachers.[24] He completed mathematical exams in half the allotted time, and showed a familiarity with geometry and infinite series. Ramanujan was shown how to solve cubic equations in 1902. He would later develop his own method to solve the quartic. In 1903, he tried to solve the quintic, not knowing that it was impossible to solve with radicals.[25]
This may have been for any number of reasons. Since paper was very expensive, Ramanujan did most of his work and perhaps his proofs on slate, after which he transferred the final results to paper. At the time, slates were commonly used by mathematics students in the Madras Presidency. He was also quite likely to have been influenced by the style of G. S. Carr's book, which stated results without proofs. It is also possible that Ramanujan considered his work to be for his personal interest alone and therefore recorded only the results.[115]
Although no attendance records for the period survive, most biographers agree that Shakespeare was probably educated at the King's New School in Stratford,[19][20][21] a free school chartered in 1553,[22] about a quarter-mile (400 m) from his home. Grammar schools varied in quality during the Elizabethan era, but grammar school curricula were largely similar: the basic Latin text was standardised by royal decree,[23][24] and the school would have provided an intensive education in grammar based upon Latin classical authors.[25] 2b1af7f3a8