000			02400nam a2200361 4500
001			OTLid0000850
003			MnU
005			20201105133410.0
006			m o d s
008			200627s2019 mnu o 0 0 eng d
020			_a
040			_aMnU _beng _cMnU
050		4	_aQA37.3
245	0	0	_aElementary Abstract Algebra _bExamples and Applications _cJustin Hill
264		2	_bOpen Textbook Library
264		1	_bJustin Hill and Chris Thron
300			_a1 online resource
490	0		_aOpen textbook library.
505	0		_a1 Preliminaries -- 2 Complex Numbers -- 3 Modular Arithmetic -- 4 Set Theory -- 5 Functions: Basic Concepts -- 6 Application: Introduction to Cryptography -- 7 Sigma Notation -- 8 Polynomials -- 9 Symmetries of Plane Figures -- 10 Permutations -- 11 Abstract Groups: Definitions and Basic Properties -- 12 Application: Further Topics in Cryptography -- 13 Equivalence Relations and Equivalence Classes -- 14 Cosets and Factor Groups -- 15 Application: Error-Detecting and Correcting Codes -- 16 Isomorphisms of Groups -- 17 Exploration: relating poynomials and matrices -- 18 Homomorphisms of Groups -- 19 Group Actions, with Applications -- 20 Appendix: Induction proofs-patterns and examples
520	0		_aThis book is not intended for budding mathematicians. It was created for a math program in which most of the students in upper-level math classes are planning to become secondary school teachers. For such students, conventional abstract algebra texts are practically incomprehensible, both in style and in content. Faced with this situation, we decided to create a book that our students could actually read for themselves. In this way we have been able to dedicate class time to problem-solving and personal interaction rather than rehashing the same material in lecture format.
542	1		_fAttribution-NonCommercial-ShareAlike
546			_aIn English.
588	0		_aDescription based on online resource
650		0	_aMathematics _vTextbooks
700	1		_aHill, Justin _eeditor
700	1		_aThron, Chris _eeditor
710	2		_aOpen Textbook Library _edistributor
856	4	0	_uhttps://open.umn.edu/opentextbooks/textbooks/850 _zAccess online version
999			_c20188 _d20188