000			02269nam a2200373 4500
001			OTLid0000886
003			MnU
005			20201105133414.0
006			m o d s
008			200716s2015 mnu o 0 0 eng d
020			_a
040			_aMnU _beng _cMnU
050		4	_aQA37.3
245	0	0	_aTransition to Higher Mathematics _bStructure and Proof _cBob Dumas
250			_aSecond Edition
264		2	_bOpen Textbook Library
264		1	_bOpen Scholarship
300			_a1 online resource
490	0		_aOpen textbook library.
505	0		_aChapter 0. Introduction -- Chapter 1. Preliminaries -- Chapter 2. Relations -- Chapter 3. Proofs -- Chapter 4. Principle of Induction -- Chapter 5. Limits -- Chapter 6. Cardinality -- Chapter 7. Divisibility -- Chapter 8. The Real Numbers -- Chapter 9. Complex Numbers
520	0		_aThis book is written for students who have taken calculus and want to learn what "real mathematics" is. We hope you will find the material engaging and interesting, and that you will be encouraged to learn more advanced mathematics. This is the second edition of our text. It is intended for students who have taken a calculus course, and are interested in learning what higher mathematics is all about. It can be used as a textbook for an "Introduction to Proofs" course, or for self-study. Chapter 1: Preliminaries, Chapter 2: Relations, Chapter 3: Proofs, Chapter 4: Principles of Induction, Chapter 5: Limits, Chapter 6: Cardinality, Chapter 7: Divisibility, Chapter 8: The Real Numbers, Chapter 9: Complex Numbers. The last 4 chapters can also be used as independent introductions to four topics in mathematics: Cardinality; Divisibility; Real Numbers; Complex Numbers.
542	1		_fAttribution
546			_aIn English.
588	0		_aDescription based on online resource
650		0	_aMathematics _vTextbooks
700	1		_aDumas, Bob A _eauthor
700	1		_aMcCarthy, John E _eauthor
710	2		_aOpen Textbook Library _edistributor
856	4	0	_uhttps://open.umn.edu/opentextbooks/textbooks/886 _zAccess online version
999			_c20222 _d20222