A History of Mathematics |
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Page 75
... analytical and completely divorced from geometrical methods . He is , as far as we know , the first to state that " a negative number multiplied by a negative num- ber gives a positive number . " This is applied to the multi- plication ...
... analytical and completely divorced from geometrical methods . He is , as far as we know , the first to state that " a negative number multiplied by a negative num- ber gives a positive number . " This is applied to the multi- plication ...
Page 178
... analytical geometry of Descartes and later in the differential calculus , the subject was almost entirely neglected until the present century . In the theory of numbers no new results of scientific value had been reached for over 1000 ...
... analytical geometry of Descartes and later in the differential calculus , the subject was almost entirely neglected until the present century . In the theory of numbers no new results of scientific value had been reached for over 1000 ...
Page 185
... analytical method based on the notion of variables and constants , which enabled him to represent curves by alge- braic equations . In the Greek geometry , the idea of motion was wanting , but with Descartes it became a very fruitful ...
... analytical method based on the notion of variables and constants , which enabled him to represent curves by alge- braic equations . In the Greek geometry , the idea of motion was wanting , but with Descartes it became a very fruitful ...
Page 186
... analytical , in the sense that the word is used in logic ; and partly because the practice had then already arisen , of designating by the term analysis the calculus with general quantities . The first important example solved by ...
... analytical , in the sense that the word is used in logic ; and partly because the practice had then already arisen , of designating by the term analysis the calculus with general quantities . The first important example solved by ...
Page 188
... analytical geometry to the solution of the " Apollonian problem . " His second royal follower was Queen Christina , the daughter of Gustavus Adolphus . She urged upon Des- cartes to come to the Swedish court . After much hesitation he ...
... analytical geometry to the solution of the " Apollonian problem . " His second royal follower was Queen Christina , the daughter of Gustavus Adolphus . She urged upon Des- cartes to come to the Swedish court . After much hesitation he ...
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Common terms and phrases
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