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هل يمكن إفادتي في كتب تحمل العناوين التالية مع حلولها :

Extension fields

أو أي كتاب في الجبر المجرد المتقدم ( حيث أحتاج له في الدراسات العليا )
 
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Fields and Galois Theory (Springer Undergraduate Mathematics Series)


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Summary:
The pioneering work of Abel and Galois in the early nineteenth century demonstrated that the long-standing quest for a solution of quintic equations by radicals was fruitless: no formula can be found. The techniques they used were, in the end, more important than the resolution of a somewhat esoteric problem, for they were the genesis of modern abstract algebra. This book provides a gentle introduction to Galois theory suitable for third- and fourth-year undergraduates and beginning graduates. The approach is unashamedly unhistorical: it uses the language and techniques of abstract algebra to express complex arguments in contemporary terms. Thus the insolubility of the quintic by radicals is linked to the fact that the alternating group of degree 5 is simple - which is assuredly not the way Galois would have expressed the connection.


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Book Description:

From Math Reviews: "This is a charming textbook, introducing the reader to the classical parts of algebra. The exposition is admirably clear and lucidly written with only minimal prerequisites from linear algebra. The new concepts are, at least in the first part of the book, defined in the framework of the development of carefully selected problems. Thus, for instance, the transformation of the classical geometrical problems on constructions with ruler and compass in their algebraic setting in the first chapter introduces the reader spontaneously to such fundamental algebraic notions as field extension, the degree of an extension, etc... The book ends with an appendix containing exercises and notes on the previous parts of the book. However, brief historical comments and suggestions for further reading are also scattered through the text."

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اما بالنسبة لكتب تحمل عنوان Extension Fields مش موجود اخي ....

لأن هذا مجرد موضوع يندرج تحت Galios theory or Field theory
 
يجب تسجيل الدخول أو التسجيل كي تتمكن من الرد هنا.
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