Science, Volume 61John Michels American Association for the Advancement of Science, 1925 Since Jan. 1901 the official proceedings and most of the papers of the American Association for the Advancement of Science have been included in Science. |
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Page 5
... THEORY OF ALGEBRAIC NUMBERS1 ONE approaches with considerable hesitation a task in which on the one hand he is to give to the general reader some notion of an abstract scientific subject , while on the other hand he is to write ...
... THEORY OF ALGEBRAIC NUMBERS1 ONE approaches with considerable hesitation a task in which on the one hand he is to give to the general reader some notion of an abstract scientific subject , while on the other hand he is to write ...
Page 6
... theory that I propose to outline in the present paper . It may be observed that twenty - five years ago we were led ... theory may not become evident until long after the theory has been developed . There are many branches of mathematics ...
... theory that I propose to outline in the present paper . It may be observed that twenty - five years ago we were led ... theory may not become evident until long after the theory has been developed . There are many branches of mathematics ...
Page 7
... theory with which we are concerned . Gauss , a mathematical scientist , algebraist and arithmetician of very great ability , extolled Fermat , Euler , Lagrange and Legendre as men of " matchless honor in that they had opened the way to ...
... theory with which we are concerned . Gauss , a mathematical scientist , algebraist and arithmetician of very great ability , extolled Fermat , Euler , Lagrange and Legendre as men of " matchless honor in that they had opened the way to ...
Page 8
... theory of indeterminate equations , congruences , etc. In particular , Legendre ( 1752-1833 ) gave a proof of the so - called law of quadratic reciprocity ( see Crelle's Journal , Bd . 30 , p . 217 ) . Gauss ( 1777-1855 ) , in the ...
... theory of indeterminate equations , congruences , etc. In particular , Legendre ( 1752-1833 ) gave a proof of the so - called law of quadratic reciprocity ( see Crelle's Journal , Bd . 30 , p . 217 ) . Gauss ( 1777-1855 ) , in the ...
Page 9
... theory of algebraic numbers and the Galois theory of equations have their common origin in the general theory of algebraic realms , so that these realms constitute an essential rôle in questions of algebra and analysis . In fact the ...
... theory of algebraic numbers and the Galois theory of equations have their common origin in the general theory of algebraic realms , so that these realms constitute an essential rôle in questions of algebra and analysis . In fact the ...
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