000			01553nam a2200253Ia 4500
001			CU10465
008			250306s9999 xx 000 0 und d
020			_a9780821852101
020			_c763.25
082			_a512.02 SOL
100			_aRonald Solomon
245		0	_aAbstract Algebra
250			_a1st ed.
260			_aHyderabad
260			_bAmerican Mathematical Society
260			_c2015
300			_axii, 227p.
520			_aAt the heart of the text is a semi-historical journey through the early decades of the subject as it emerged in the revolutionary work of Euler, Lagrange, Gauss, and Galois. Avoiding excessive abstraction whenever possible, the text focuses on the central problem of studying the solutions of polynomial equations. Highlights include a proof of the Fundamental Theorem of Algebra, essentially due to Euler, and a proof of the constructability of the regular 17-gon, in the manner of Gauss. Another novel feature is the introduction of groups through a meditation on the meaning of congruence in the work of Euclid. Everywhere in the text, the goal is to make clear the links connecting abstract algebra to Euclidean geometry, high school algebra, and trigonometry. Another goal is to encourage students, insofar as possible in a textbook format, to build the course for themselves, with exercises integrally embedded in the text of each chapter.
650			_aAbstract
650			_aAlgebra
942			_cText Book
999			_c24970 _d24970