A History of Mathematics |
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Page 4
... integral calculus , they should become familiar with the parts that Newton , Leibniz , and Lagrange played in creating that science . In his historical talk it is possible for the teacher to make it plain to the student that mathematics ...
... integral calculus , they should become familiar with the parts that Newton , Leibniz , and Lagrange played in creating that science . In his historical talk it is possible for the teacher to make it plain to the student that mathematics ...
Page 69
... integral numbers could be found , such that the sum of the squares of two of them equalled the square of the third . Thus , take for one side an odd number ( 2n + 1 ) ; then ( 2n + 1 ) -1 2 - 2 n2 + 2n = the other side , and ( 2n2 + 2n ...
... integral numbers could be found , such that the sum of the squares of two of them equalled the square of the third . Thus , take for one side an odd number ( 2n + 1 ) ; then ( 2n + 1 ) -1 2 - 2 n2 + 2n = the other side , and ( 2n2 + 2n ...
Page 73
... integral numbers are to be found . It may be stated thus : The sun had a herd of bulls and cows , of different colours . ( 1 ) Of Bulls , the white ( W ) were , in number , ( + ) of the blue ( B ) and yel- low ( Y ) : the B were ( + ) ...
... integral numbers are to be found . It may be stated thus : The sun had a herd of bulls and cows , of different colours . ( 1 ) Of Bulls , the white ( W ) were , in number , ( + ) of the blue ( B ) and yel- low ( Y ) : the B were ( + ) ...
Page 95
... integral solutions . Greek analysis , on the other hand , demanded not necessarily integral , but simply rational answers . Diophantus was content with a single solution ; the Hindoos endeavoured to find all solutions possible ...
... integral solutions . Greek analysis , on the other hand , demanded not necessarily integral , but simply rational answers . Diophantus was content with a single solution ; the Hindoos endeavoured to find all solutions possible ...
Page 96
... integral . ' These equations probably grew out of prob- lems in astronomy . They were applied , for instance , to determine the time when a certain constellation of the planets would occur in the heavens . Passing by the subject of ...
... integral . ' These equations probably grew out of prob- lems in astronomy . They were applied , for instance , to determine the time when a certain constellation of the planets would occur in the heavens . Passing by the subject of ...
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60 cents abacus Abelian functions algebra Almagest analysis analytical angles Apollonius applied Arabic Archimedes arithmetic astronomical Berlin Bernoulli Boethius calculus Cambridge Cauchy Cayley century circle Clebsch College conic sections contains Crelle's Journal cubic curve degree Descartes determine differential calculus differential equations Diophantus discovery Edition Egyptian elasticity Elementary Treatise elliptic functions Euclid Euclid's Elements Euler expressed Fermat fluxions fractions Gauss gave geometry given gives Greek Hindoo infinite integral invention investigations Jacobi John Bernoulli known Lagrange Laplace Legendre Leibniz linear lines logarithms mathe mathematicians mathematics matical mechanics memoir method motion Newton notation paper Pappus Paris plane polygon principle problem professor progress proof published pupil Pythagoreans quadratic quadrature quantities ratio researches Riemann roots sexagesimal solids solution solved spherical square surface symbol synthetic geometry tangents theorem theory of numbers theta-functions Thomson tion translated triangle trigonometry variable Vieta Wallis writings wrote