000 | 02372nam a2200409 i 4500 | ||
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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 |
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264 | 1 |
_aSt. Louis, Missouri _bOpen Scholarship _c2015. |
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264 | 4 | _c©2015. | |
300 | _a1 online resource | ||
336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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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 |
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650 | 0 |
_aProof _vTextbooks |
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700 | 1 |
_aDumas, Bob A _eauthor |
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700 | 1 |
_aMcCarthy, John E _eauthor |
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710 | 2 |
_aOpen Textbook Library _edistributor |
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856 | 4 | 0 |
_uhttps://open.umn.edu/opentextbooks/textbooks/886 _zAccess online version |
999 |
_c39088 _d39088 |