Download A History of Elementary Mathematics by Florian Cajori PDF

By Florian Cajori

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E. F. NESSELMANN, Die Algebra der Griechen, Berlin, 1842, p. 184, be cited hereafter as NESSELMANN. ). To the latter we owe researches on polyg was neglected. onal numbers and arithmetical progressions. Eratosthenes invented the celebrated "sieve" for finding prime numbers. Write down in succession all odd numbers from 3 up. By number after 3, sift out all multiples of 3 by erasing every fifth number after o, sift out all multiples The numbers left after this sifting are all of 5, and so on. erasing every third prime.

Historical importance of this translation lies in the extended use made of it later in Western Europe. The Roman laws of inheritance gave rise to numerous arith metical examples. The following is of interest in itself, and also because its occurrence elsewhere at a later period assists us in tracing the source of arithmetical knowledge in Western with child, dying man wills, that if his wife, being Europe : A shall receive f, and she -| of his gives birth to a son, the son is if a but estate born, the daughter shall receive daughter ; |, a and happens that twins are born, a boy as to so be divided shall the estate satisfy the and the wife f girl.

To write 360, the Maya drew two zeros, one above the other, with a dot in third place, above the zeraa. largest number found in the codices is 12,489,781. 1 S. G. MOELET, Introduction WasMngton, 1915. to the Study of the Maya The Hieroglyphs, ARITHMETIC AND ALGEBRA EGYPT THE most time ancient mathematical handbook known to oui a papyrus included in the Rhind collection of the Museum. C. " " Directions for obtaining the knowledge of It claims to be all dark founded on older documents pre pared in the time of King [Ra-en-m]at.

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