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
... Proclus refers to it repeatedly, and therefore his so called Survey, which outlines the history of Greek mathematics from its beginnings up to Euclid (Proclus, 1873, pp. 64-68), is often supposed to be from Eudemus, although Proclus ...
... Proclus refers to it repeatedly, and therefore his so called Survey, which outlines the history of Greek mathematics from its beginnings up to Euclid (Proclus, 1873, pp. 64-68), is often supposed to be from Eudemus, although Proclus ...
Side 4
... Proclus' Commentary on the first book of Euclid's Elements tell us primarily what Proclus himself thought about the way in which mathematics had developed in the 750 and more years up to his own times, and this obliges every historian ...
... Proclus' Commentary on the first book of Euclid's Elements tell us primarily what Proclus himself thought about the way in which mathematics had developed in the 750 and more years up to his own times, and this obliges every historian ...
Side 5
... (Proclus, 1970, pp. 53-54). According to this statement it was the philosophical zeal to which Plato's writings testify (and not his competence as a mathematician) which caused remarkable advances in mathematics; in the wake of Proclus ...
... (Proclus, 1970, pp. 53-54). According to this statement it was the philosophical zeal to which Plato's writings testify (and not his competence as a mathematician) which caused remarkable advances in mathematics; in the wake of Proclus ...
Side 10
... Proclus (1873, p. 203) the exposition (8κ#σis) and specification (διοoιpμ[s) of every problem or theorem furnished with all its parts should be followed by the auxiliary construction (κατασκr†). For BM 85 194, Problem 20 this would be ...
... Proclus (1873, p. 203) the exposition (8κ#σis) and specification (διοoιpμ[s) of every problem or theorem furnished with all its parts should be followed by the auxiliary construction (κατασκr†). For BM 85 194, Problem 20 this would be ...
Side 12
... Proclus' Commentary on the first Book of Euclid's Elements (who in turn sometimes refers to Eudemus of Rhodes as his source). As an example I cite the following remark pertaining to Euclid's Prop. I.15: “This theorem, then, proves that ...
... Proclus' Commentary on the first Book of Euclid's Elements (who in turn sometimes refers to Eudemus of Rhodes as his source). As an example I cite the following remark pertaining to Euclid's Prop. I.15: “This theorem, then, proves that ...
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