A History of Mathematics |
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Page viii
... GEOMETRY ALGEBRA ANALYSIS THEORY OF FUNCTIONS . THEORY OF NUMBERS APPLIED MATHEMATICS . INDEX PAGE 246 . 285 . 291 293 307 315 331 347 362 373 405 BOOKS OF REFERENCE . The following books , pamphlets , viii TABLE OF CONTENTS .
... GEOMETRY ALGEBRA ANALYSIS THEORY OF FUNCTIONS . THEORY OF NUMBERS APPLIED MATHEMATICS . INDEX PAGE 246 . 285 . 291 293 307 315 331 347 362 373 405 BOOKS OF REFERENCE . The following books , pamphlets , viii TABLE OF CONTENTS .
Page 30
... analysis as a method of proof . To be sure , this method had been used unconsciously by Hippocrates and others ; but Plato , like a true philosopher , turned the instinc- tive logic into a conscious , legitimate method . The terms ...
... analysis as a method of proof . To be sure , this method had been used unconsciously by Hippocrates and others ; but Plato , like a true philosopher , turned the instinc- tive logic into a conscious , legitimate method . The terms ...
Page 31
... analysis . Thus the aim of analysis was to aid in the discovery of synthetic proofs or solutions . Plato is said to have solved the problem of the duplication of the cube . But the solution is open to the very same objec- tion which he ...
... analysis . Thus the aim of analysis was to aid in the discovery of synthetic proofs or solutions . Plato is said to have solved the problem of the duplication of the cube . But the solution is open to the very same objec- tion which he ...
Page 59
... analysis of the most difficult mathematical works and to facilitate the study of them by explanatory lemmas . But these lemmas are selected very freely , and frequently have little or no connection with the subject on hand . However ...
... analysis of the most difficult mathematical works and to facilitate the study of them by explanatory lemmas . But these lemmas are selected very freely , and frequently have little or no connection with the subject on hand . However ...
Page 77
... 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 exhibited therein in the solution of particular equations ...
... 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 exhibited therein in the solution of particular equations ...
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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