Higher Algebra: A Sequel to Elementary Algebra for Schools

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Great book, well explained. Perfect for Pre-Calc

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Page 51 - ... any number divided by 9 will leave the same remainder as the sum of its digits divided by 9.
Page 165 - The logarithm of a product is equal to the sum of the logarithms of its factors.
Page 107 - The number of combinations of n things г at a time is equal to the number of combinations of n things n—r at a time.
Page 446 - If then we suppose the factors corresponding to the negative and imaginary roots to be already multiplied together, each factor x— a corresponding to a positive root introduces at least one change of sign ; therefore no equation can have more positive roots than it has changes of sign. To prove the second part of Descartes...
Page 1 - In any proportion the product of the extremes is equal to the product of the means. Let the proportion be a : b = с : d.
Page 359 - DEFINITION. If an event can happen in a ways and fail in b ways, and. each of these ways is equally likely, the probability, or the chance, of its happening is , and...
Page 484 - Geese, which were proceeding at the rate of 3 miles in 2 hours, he afterwards met a stage wagon, which was moving at the rate of 9 miles in 4 hours. B overtook the same drove of Geese at the 45th mile stone, and met the same stage wagon exactly forty minutes before he came to the 31st mile stone. Where was B when A reached London 1 Solution.
Page 168 - The integral part of a logarithm is called the characteristic, and the decimal part is called the mantissa.
Page 120 - There are n points in a plane, no three of which are in the same straight line with the exception of p, which are all in the same straight line; find the number of lines which result from joining them.
Page 478 - A railway train after travelling for one hour meets with an accident which delays it one hour, after which it proceeds at three-fifths of its former rate, and arrives at the terminus...

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