The first part of the book presents the elementary facts of algebraic geometry essential to understanding the rest of it. The second half of the book considers the evolution of the theory of Diophantine equations from the Renaissance to the middle of the 20th century. In particular, the book include
Diophantus and diophantine equations
β Scribed by Isabella G. Bashmakova
- Book ID
- 127405685
- Publisher
- Mathematical Association of America
- Year
- 1997
- Tongue
- English
- Weight
- 701 KB
- Series
- Dolciani mathematical expositions 20
- Category
- Library
- City
- [Washington, DC]
- ISBN-13
- 9780883855263
No coin nor oath required. For personal study only.
β¦ Synopsis
Series: Dolciani Mathematical Expositions
The first part of the book presents the elementary facts of algebraic geometry essential to understanding the rest of it. The second half of the book considers the evolution of the theory of Diophantine equations from the Renaissance to the middle of the 20th century. In particular, the book includes substantial descriptions of the relevant contributions of ViΓ¨te, Fermat, Euler, Jacobi, and PoincarΓ©. The book ends with Joseph Silvermanβs survey of Diophantine analysis during the last 20 years in which he mentions the proof of the Mordei conjecture and of Fermatβs Last Theorem.
π SIMILAR VOLUMES
"This book by a leading researcher and masterly expositor of the subject studies diophantine approximations to algebraic numbers and their applications to diophantine equations. The methods are classical, and the results stressed can be obtained without much background in algebraic geometry. In part
"This book by a leading researcher and masterly expositor of the subject studies diophantine approximations to algebraic numbers and their applications to diophantine equations. The methods are classical, and the results stressed can be obtained without much background in algebraic geometry. In part
Harold Davenport was one of the truly great mathematicians of the twentieth century. Based on lectures he gave at the University of Michigan in the early 1960s, this book is concerned with the use of analytic methods in the study of integer solutions to Diophantine equations and Diophantine inequali