A History of Mathematics |
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Page vii
... TO DESCARTES DESCARTES TO NEWTON . NEWTON TO EULER i · · PAGE 1 5 5 9 16 16 17 19 23 29 34 54 63 77 84 84 • . 100 • · . 117 117 124 . 128 138 . 139 156 183 . 199 EULER , LAGRANGE , AND LAPLACE The Origin of Modern vii.
... TO DESCARTES DESCARTES TO NEWTON . NEWTON TO EULER i · · PAGE 1 5 5 9 16 16 17 19 23 29 34 54 63 77 84 84 • . 100 • · . 117 117 124 . 128 138 . 139 156 183 . 199 EULER , LAGRANGE , AND LAPLACE The Origin of Modern vii.
Page viii
Florian Cajori. EULER , LAGRANGE , AND LAPLACE The Origin of Modern Geometry RECENT TIMES • · SYNTHETIC GEOMETRY ANALYTIC GEOMETRY ALGEBRA ANALYSIS THEORY OF FUNCTIONS . THEORY OF NUMBERS APPLIED MATHEMATICS . INDEX PAGE 246 . 285 . 291 ...
Florian Cajori. EULER , LAGRANGE , AND LAPLACE The Origin of Modern Geometry RECENT TIMES • · SYNTHETIC GEOMETRY ANALYTIC GEOMETRY ALGEBRA ANALYSIS THEORY OF FUNCTIONS . THEORY OF NUMBERS APPLIED MATHEMATICS . INDEX PAGE 246 . 285 . 291 ...
Page 2
... 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 is not a dead science , but a living one in which steady progress is made . " The history ...
... 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 is not a dead science , but a living one in which steady progress is made . " The history ...
Page 77
... La Grange , Gauss , had to begin the study of indeterminate analysis anew and received no direct aid from Diophantus in the formulation of methods . In spite of these defects we cannot fail to admire the work for the wonderful ingenuity ...
... La Grange , Gauss , had to begin the study of indeterminate analysis anew and received no direct aid from Diophantus in the formulation of methods . In spite of these defects we cannot fail to admire the work for the wonderful ingenuity ...
Page 174
... Lagrange , Laplace , and Fourier , that Fermat may be regarded as the first inventor of the differ- ential calculus . This point is not well taken , as will be seen from the words of Poisson , himself a Frenchman , 174 A HISTORY OF ...
... Lagrange , Laplace , and Fourier , that Fermat may be regarded as the first inventor of the differ- ential calculus . This point is not well taken , as will be seen from the words of Poisson , himself a Frenchman , 174 A HISTORY OF ...
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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