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Diophantus and diophantine equations

Author: I G Bashmakova; Abe Shenitzer; Joseph H Silverman
Publisher: [Washington, DC] : Math. Assoc. of America, c 1997.
Series: Dolciani mathematical expositions, 20.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:

Semi-popular maths on an area of number theory related to Fermat.

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Details

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
ISBN: 0883855267 9780883855263
OCLC Number: 245936906
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 ....

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