Classics in the History of Greek MathematicsJean Christianidis Springer Science & Business Media, 18. apr. 2013 - 474 sider The twentieth century is the period during which the history of Greek mathematics reached its greatest acme. Indeed, it is by no means exaggerated to say that Greek mathematics represents the unique field from the wider domain of the general history of science which was included in the research agenda of so many and so distinguished scholars, from so varied scientific communities (historians of science, historians of philosophy, mathematicians, philologists, philosophers of science, archeologists etc. ), while new scholarship of the highest quality continues to be produced. This volume includes 19 classic papers on the history of Greek mathematics that were published during the entire 20th century and affected significantly the state of the art of this field. It is divided into six self-contained sections, each one with its own editor, who had the responsibility for the selection of the papers that are republished in the section, and who wrote the introduction of the section. It constitutes a kind of a Reader book which is today, one century after the first publications of Tannery, Zeuthen, Heath and the other outstanding figures of the end of the 19th and the beg- ning of 20th century, rather timely in many respects. |
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Side 3
... Aristotle's philosophy of science as put forward in his Analytica posteriora, which was written slightly earlier, shows that at his time mathematical proofs were performed according to methods already close to those applied by Euclid ...
... Aristotle's philosophy of science as put forward in his Analytica posteriora, which was written slightly earlier, shows that at his time mathematical proofs were performed according to methods already close to those applied by Euclid ...
Side 4
... Aristotle, who, quite as speculatively as Herodotus, put its birth into a new context. In Plato's Phaedrus (274C-275D) the Egyptian god Theut is said to have invented not only geometry, but also number and reckoning, astronomy and ...
... Aristotle, who, quite as speculatively as Herodotus, put its birth into a new context. In Plato's Phaedrus (274C-275D) the Egyptian god Theut is said to have invented not only geometry, but also number and reckoning, astronomy and ...
Side 5
... Aristotle to Pappus). The possibility of doing mathematics had to be discovered like the possibility of using fire or of breeding animals, but as Mittelstraß was forced to admit the question of the nature of the difference between Greek ...
... Aristotle to Pappus). The possibility of doing mathematics had to be discovered like the possibility of using fire or of breeding animals, but as Mittelstraß was forced to admit the question of the nature of the difference between Greek ...
Side 8
... Aristotle's Posterior Analytics alluding to a similar situation: Nor does the geometer make false hypotheses, as he has been charged with doing, when he says the line he draws is a foot long, or straight, when it is not. He infers ...
... Aristotle's Posterior Analytics alluding to a similar situation: Nor does the geometer make false hypotheses, as he has been charged with doing, when he says the line he draws is a foot long, or straight, when it is not. He infers ...
Side 12
... Aristotle realized that it is possible to separate them into sections which, like the layers of an archeological site, can be brought into a chronological order (and thus indicate an intellectual development of Aristotle). In 1936 Oskar ...
... Aristotle realized that it is possible to separate them into sections which, like the layers of an archeological site, can be brought into a chronological order (and thus indicate an intellectual development of Aristotle). In 1936 Oskar ...
Innhold
19 | |
von Wissenchaft | 107 |
G E R LLOYD The Meno and the Mysteries of Mathematics | 169 |
1992 166183 | 183 |
KEN SAITO Introduction 187 | 185 |
KURT VON FRITZ The Discovery of Incommensurability | 211 |
Annals of Mathematics 46 1954 242264 211 | 232 |
Bulletin de la Société mathématique de Belgique 18 1966 4355 233 | 243 |
HEATH Diophantus methods of solution | 285 |
JEAN CHRISTIANIDIS Introduction | 331 |
Historia Mathematica 9 1982 133171 | 337 |
DAVID H FOWLER Logistic and fractions in early | 366 |
METHODOLOGICAL ISSUES IN THE HISTORIOGRAPHY | 381 |
VANDER WAERDEN Defence of a Shocking Point of View | 432 |
Archive for History of Exact Sciences 15 1976 199210 433 | 440 |
ANDRÉ WEIL Who Betrayed Euclid? Extract from a letter | 447 |
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Classics in the History of Greek Mathematics Jean Christianidis Ingen forhåndsvisning tilgjengelig - 2010 |
Vanlige uttrykk og setninger
Akhmîm anderen Anfang Apollonius Arabic Archimedes Archytas Aristotle arithmetic axiomatic axioms Babylonian Babylonian mathematics Becker Behauptung Beweis beweisen Book Buch century computational Conics construction definition diameter Diophantus discovery of incommensurability eigentlich Eleatic Elem equal equations erst ersten Euclid Euclid’s Elements Euclidean Eudoxus example existential expression fractions Frage geometric algebra geometrischen gerade Geschichte given Greek geometry Greek mathematics Griechen griechischen Mathematik H. G. Zeuthen Heath Hippasus Hippocrates Hippocrates of Chios History of Greek ibid incommensurability instance interpretation ISBN Jahrhundert Knorr können Logik mathe mathematicians mathématiques mathematischen method modern NEUGEBAUER notation Pappus papyri Parmenides philosophy Plato postulates problems procedure Proclus proof proportion propositions Pythagoras Pythagoreans quadratic ratio rectangle Satz Sätze schon Science scribe segments solution solved square number straight line symbolism Szabó T. L. Heath Tannery Thales Theaetetus theorems theory tion tradition translation triangle unit-fractions Waerden Wissenschaft Zahl Zahlen Zeit Zeuthen