Field extension by Galois theory
Author
Source
General Letters in Mathematics
Issue
Vol. 3, Issue 3 (31 Dec. 2017), pp.132-153, 22 p.
Publisher
Refaad Center for Studies and Research
Publication Date
2017-12-31
Country of Publication
Jordan
No. of Pages
22
Main Subjects
Abstract EN
Galois Theory, a wonderful part of mathematics with historical roots date back to the solution of cubic and quantic equations in the sixteenth century.
However, beside understanding the roots of polynomials, Galois Theory also gave birth to many of the central concepts of modern algebra, including groups and elds.
In particular, this theory is further great due to primarily for two factors: rst, its surprising link between the group theory and the roots of polynomials and second,the elegance of its presentation.
This theory is often descried as one of the most beautiful parts of mathematics.
Here I have specially worked on eld extensions.
To understand the basic concept behind fundamental theory, some necessary Theorems, Lammas and Corollaries are added with suitable examples containing Lattice Diagrams and Tables.
In principle, I have presented and solved a number of complex algebraic problems with the help of Galois theory which are designed in the context of various rational and complex numbers.
American Psychological Association (APA)
Nasif, Md Tawfiq. 2017. Field extension by Galois theory. General Letters in Mathematics،Vol. 3, no. 3, pp.132-153.
https://search.emarefa.net/detail/BIM-938507
Modern Language Association (MLA)
Nasif, Md Tawfiq. Field extension by Galois theory. General Letters in Mathematics Vol. 3, no. 3 (Dec. 2017), pp.132-153.
https://search.emarefa.net/detail/BIM-938507
American Medical Association (AMA)
Nasif, Md Tawfiq. Field extension by Galois theory. General Letters in Mathematics. 2017. Vol. 3, no. 3, pp.132-153.
https://search.emarefa.net/detail/BIM-938507
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 153
Record ID
BIM-938507