000			02041nam a22002177a 4500
005			20180705144143.0
008			180705b xxu||||| |||| 00| 0 eng d
020			_a9780821852101
028			_aBrijwasi Book Distributors _bH-87,Lalita Park, Laxmi Nagar, New Delhi-110092 _cBW/004838 _d25/06/2018
082			_a512.02 SOL
100			_aRonald Solomon.
245			_aAbstract algebra. _c/ Ronald Solomon.
260			_aProvidence, R.I. _b: American Mathematical Society _c, [2009?]
300			_axii, 227 pages _b : illustrations _c; 24 cm.
365			_b720
505			_aGeometry -- What is congruence? -- Some two-dimensional geometry -- Symmetry -- Polynomials -- The root of it all -- The renaissance of algebra -- Complex numbers -- Symmetric polynomials and the fundamental theorem of algebra -- Permutations and Lagrange's theorem -- Orbits and Cauchy's formula -- Hamilton's quaternions (optional) -- Numbers -- Back to Euclid -- Euclid's lemma for polynomials -- Fermat and the rebirth of number theory -- Lagrange's theorem revisited -- Rings and squares -- More rings and more squares -- Fermat's last theorem (for polynomials) -- Still more Fermat's last theorem (optional) -- The grand synthesis -- Constructible polygons and the method of Mr. Gauss -- Cyclotomic fields and linear algebra -- A Lagrange theorem for fields and nonconstructibility -- Galois fields and the fundamental theorem of algebra revisited -- Galois' theory of equations -- The Galois correspondence -- Constructible numbers and solvable equations.
520			_aTakes a novel approach to the standard introductory material on groups, rings, and fields. This title offers a semi-historical journey through the early decades of the subject as it emerged in the revolutionary work of Euler, Lagrange, Gauss, and Galois. It focuses on the central problem of studying the solutions of polynomial equations.
655			_aAlgebra. _bAlgebra, Abstract. _bUniverselle Algebra.
700			_aRonald Solomon.
942			_cBOOK
999			_c49733 _d49733