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|Named Person:||Diophantus, <Alexandrinus>; Diophant, von Alexandria.; Diophantus, Alexandrinus.|
|Material Type:||Internet resource|
|Document Type:||Book, Internet Resource|
|All Authors / Contributors:||
I G Bashmakova; Abe Shenitzer; Joseph H Silverman
|Notes:||Includes bibliogr. references (p. 87 - 88) and index.
Russian original published by Nauke, Moscow, 1972.
|Description:||XIV, 90 S : graph. Darst ; 22 cm.|
|Contents:||Introduction; 1. Diophantus; 2. Numbers and symbols; 3. Diophantine equations; 4. Evaluation of Diophantus' methods by historians of science; 5. Indeterminate quadratic equations; 6. Indeterminate cubic equations; 7. Diophantus and number theory; 8. Diophantus and the mathematicians of the 15th and 16th centuries; 9. Diophantus' methods in the works of Viete and Fermat; 10. Diophantine equations in the works of Euler and Jacobi: addition of points on an elliptic curve; 11. The geometric meaning of the operation of addition of points; 12. The arithmetic of algebraic curves; 13. Conclusion; 14. Supplement: the role of concrete numbers in Diophantus' 'Arithmetic'.|
|Series Title:||Dolciani mathematical expositions, 20.|
|Responsibility:||I. G. Bashmakova. Updated by Joseph Silverman. Transl. from the Russian by Abe Shenitzer ....|