Diophantus and diophantine equations / I.G. Bashmakova; updated by Joseph Silverman ; translated from the Russian by Abe Shenitzer with the editorial assistance of Hardy Grant.

Format:

Book

Author/Creator:

Bashmakova, I. G. (Izabella Grigorʹevna), author.

Contributor:

Silverman, Joseph H., 1955-

Series:

Dolciani Mathematical Expositions, v. 54

Language:

English

Russian

Subjects (All):

Diophantine analysis.

Physical Description:

1 online resource (xiv, 90 pages)

Place of Publication:

[Washington, DC] : Mathematical Association of America, c1997.

System Details:

Mode of access : World Wide Web

Contents:

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 Viéte 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."

Notes:

"Russian original published by Nauke, Moscow, 1972."

Includes bibliographical references (pages 87-88) and index.

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2019

Description based on print version record.

Other Format:

Print version: Bashmakova, I. G. Diophantus and diophantine equations /

ISBN:

9781470450496 (online)

Access Restriction:

Restricted for use by site license.