000 02372nam a2200409 i 4500
001 OTLid0000886
003 MnU
005 20241120064022.0
006 m o d s
007 cr
008 200716s2015 mnu o 0 0 eng d
020 _a9781941823033
040 _aMnU
_beng
_cMnU
050 4 _aQA37.3
050 4 _aQA299.6-433
245 0 0 _aTransition to Higher Mathematics
_bStructure and Proof
_cBob Dumas
250 _aSecond Edition
264 2 _aMinneapolis, MN
_bOpen Textbook Library
264 1 _aSt. Louis, Missouri
_bOpen Scholarship
_c2015.
264 4 _c©2015.
300 _a1 online resource
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
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
650 0 _aProof
_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 _c39088
_d39088