000			02174nam a22002177a 4500
005			20180418110111.0
008			180404b xxu||||| |||| 00| 0 eng d
020			_a9781461284758
028			_aInternational Book Distributors _bFlat No.-17 , Prakash Apartment , 5 Ansari Road, Daryaganj , New Delhi. _c: 112024 _d: 23/03/2018
082			_a512.3 MOR
100			_aPatrick Morandi.
245			_aField and Galois theory _c/ Patrick Morandi.
260			_aNew York _b: Springer _c, ©1996.
300			_axvi, 281 pages _b: illustrations _c ; 24 cm.
365			_b4736
505			_aI. Galois theory -- II. Some Galois extensions -- III. Applications of Galois theory -- IV. Infinite algebraic extensions -- V. Transcendental extensions -- Appendix A. Ring theory -- Appendix B. Set theory -- Appendix C. Group theory -- Appendix D. Vector spaces -- Appendix E. Topology.
520			_aThis book deals with classical Galois theory, of both finite and infinite extensions, and with transcendental extensions, focusing on finitely generated extensions and connections with algebraic geometry. The purpose of the book is twofold. First, it is written to be a textbook for a graduate-level course on Galois theory or field theory. Second, it is designed to be a reference for researchers who need to know field theory. The book is written at the level of students who have familiarity with the basic concepts of a group, ring and vector space theory (including the Sylow theorems), factorization in polynomial rings, and theorems about bases of vector spaces. Readers who do not have the proper background can consult the appendices on ring theory, set theory, group theory, and vector spaces; these appendices provide the background necessary to understand the book. This book features a large number of examples and exercises, covers a large number of topics, and in most cases provides complete proofs for the stated results. To help readers grasp field theory, many concepts are placed in the context of their relationships with other areas of mathematics.
655			_aAlgebra _bGalois theory. _bAlgebraic fields.
700			_aPatrick Morandi.
942			_cMDL
999			_c49303 _d49303