A History of Mathematics |
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Page viii
... 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 .
... 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
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