000			01982nam a22002777a 4500
003			IIITD
005			20250521173242.0
008			250514b |||||||| |||| 00| 0 eng d
020			_a9783662679739
040			_aIIITD
082			_a512.02 _bHIE-A
100			_aHien, Marco
245			_aAbstract algebra : _bsuitable for self-study or online lectures _cby Marco Hien
260			_aBerlin : _bSpringer, _c©2024
300			_aix, 307 p. : _bill. ; _c24 cm.
490			_aMathematics Study Resources _v7
505			_t1. Motivation and prerequisites
505			_t2. Field extensions and algebraic elements
505			_t3. Groups
505			_t4. Group quotients and normal divisors
505			_t5. Rings and ideals
520			_aThis book contains the fundamental basics of algebra at university level. In addition to elementary algebraic structures such as groups, rings and fields, the text in particular covers Galois theory together with its applications to cyclotomic fields, finite fields as well as solving polynomial equations. Special emphasis is placed on the natural development of the contents. Various supplementary explanations support this basic idea, point out connections and help to better comprehend the underlying concepts. The book is particularly suited as a textbook for learning algebra in self-study or to accompany online lectures. The Author: Prof. Dr. Marco Hien worked at the University of Regensburg after a postdoctoral year at the University of Chicago. Since 2010, he has been Professor of Algebra and Number Theory at the University of Augsburg with research interests in algebraic geometry and algebraic analysis. In 2020, he received the "Prize for Good Teaching" from the Bavarian Ministry of Science. The translation was done with the help of artificial intelligence. A subsequent human revision was done primarily in terms of content. Collapse summary
650			_aMathematics
650			_aAlgebra
942			_cBK _2ddc
999			_c189953 _d189953