BULLETIN OF THE
AMERICAN
MATHEMATICAL SOCIETY
CONTINUATION OF THE BULLETIN OF THE NEW YORK
MATHEMATICAL SOCIETY.
A HISTORICAL AND CRITICAL REVIEW
OF MATHEMATICAL SCIENCE
EDITED BYF.N. COLE, ALEXANDER ZIWET, F. MORLEY,
E.O. LOVETT, C.L. BOUTON,
D.E. SMITH.
VOL. VIII.
OCTOBER 1901 TO JULY 1902.
PUBLISHED FOR THE SOCIETY
BY
THE MACMILLAN COMPANY,
LANCASTER, PA., AND NEW YORK,
1902.
LECTURE DELIVERED BEFORE THE INTERNATIONAL CONGRESSOF MATHEMATICIANS AT PARIS IN 1900.
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| PROBLEM | PAGE | |
| 1. | CANTOR'S PROBLEM OF THE CARDINAL NUMBER OFTHE CONTINUUM. | 10 |
| 2. | THE COMPATIBILITY OF THE ARITHMETICAL AXIOMS. | 11 |
| 3. | THE EQUALITY OF THE VOLUMES OF TWO TETRAHEDRAOF EQUAL BASES AND EQUAL ALTITUDES. | 13 |
| 4. | PROBLEM OF THE STRAIGHT LINE AS THE SHORTEST DISTANCEBETWEEN TWO POINTS. | 13 |
| 5. | LIE'S CONCEPT OF A CONTINUOUS GROUP OF TRANSFORMATIONSWITHOUT THE ASSUMPTION OF THE DIFFERENTIABILITY OF THE FUNCTIONSDEFINING THE GROUP. | 15 |
| 6. | MATHEMATICAL TREATMENT OF THE AXIOMS OF PHYSICS. | 18 |
| 7. | IRRATIONALITY AND TRANSCENDENCE OF CERTAINNUMBERS. | 19 |
| 8. | PROBLEMS OF PRIME NUMBERS. | 20 |
| 9. | PROOF OF THE MOST GENERAL LAW OF RECIPROCITYIN ANY NUMBER FIELD. | 21 |
| 10. | DETERMINATION OF THE SOLVABILITY OF A DIOPHANTINEEQUATION. | 22 |
| 11. | QUADRATIC FORMS WITH ANY ALGEBRAIC NUMERICALCOEFFICIENTS. | 22 |
| 12. | EXTENSION OF KRONECKER'S THEOREM ON ABELIANFIELDS TO ANY ALGEBRAIC REALM OF RATIONALITY. | ... BU KİTABI OKUMAK İÇİN ÜYE OLUN VEYA GİRİŞ YAPIN!Sitemize Üyelik ÜCRETSİZDİR! |