A History of Mathematics |
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Page 4
... contains a table of square numbers up to 60o . The numbers 1 , 4 , 9 , 16 , 25 , 36 , 49 , are given as the squares of the first seven integers respectively . We have next 1.4 = 82 , 1.21 = 92 , 1.40 = 102 , 2.1 112 , etc. This remains ...
... contains a table of square numbers up to 60o . The numbers 1 , 4 , 9 , 16 , 25 , 36 , 49 , are given as the squares of the first seven integers respectively . We have next 1.4 = 82 , 1.21 = 92 , 1.40 = 102 , 2.1 112 , etc. This remains ...
Page 5
... contain no number in which there was occasion to use a zero . The sexagesimal system was used also in fractions . Thus , in the Babylonian inscriptions , and are designated by 30 and 20 , the reader being expected , in his mind , to ...
... contain no number in which there was occasion to use a zero . The sexagesimal system was used also in fractions . Thus , in the Babylonian inscriptions , and are designated by 30 and 20 , the reader being expected , in his mind , to ...
Page 10
... , was deciphered by Eisenlohr in 1877 , and found to be a mathematical manual containing problems in arithmetic and geometry . It was written by Ahmes some time before 1700 B.C. , and was founded on an 10 A HISTORY OF MATHEMATICS .
... , was deciphered by Eisenlohr in 1877 , and found to be a mathematical manual containing problems in arithmetic and geometry . It was written by Ahmes some time before 1700 B.C. , and was founded on an 10 A HISTORY OF MATHEMATICS .
Page 11
... contains " hardly any general rules of procedure , but chiefly mere statements of results intended possibly to be explained by a teacher to his pupils . " In geometry the forte of the Egyptians lay in making con- structions and ...
... contains " hardly any general rules of procedure , but chiefly mere statements of results intended possibly to be explained by a teacher to his pupils . " In geometry the forte of the Egyptians lay in making con- structions and ...
Page 13
... the column next to the left . The Ahmes papyrus contains interesting information on the way in which the Egyptians employed fractions . Their methods of operation were , of course , radically different THE EGYPTIANS . 13.
... the column next to the left . The Ahmes papyrus contains interesting information on the way in which the Egyptians employed fractions . Their methods of operation were , of course , radically different THE EGYPTIANS . 13.
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Abel Abelian functions algebra Almagest analysis analytical angles Apollonius applied Arabic Archimedes arithmetic astronomical became Berlin Bernoulli born calculus Cauchy Cayley century circle Clebsch coefficients conic contains convergent Crelle's Journal cubic curve degree Descartes determine developed differential equations Diophantus Dirichlet discovery elasticity elliptic functions Euclid Euler Felix Klein Fermat fluxions fractions Gauss gave geometry given Göttingen Greek Hindoo important integrals invention investigated Jacobi John Bernoulli Lagrange Laplace later Legendre Leibniz linear lines logarithms mathe mathematicians mathematics matical mechanics memoir method motion Newton notation paper Paris partial differential equations plane Poincaré Poisson polygon principle problem professor proof published pupil Pythagoreans quadratic quadrature quantities quaternions researches Riemann Riemann's surfaces roots solution solved square surface Sylvester symbols synthetic synthetic geometry tangents theorem theory of functions theory of numbers theta-functions Thomson tion treatise triangle trigonometry University variable velocity Vieta Weierstrass writings wrote