| 000 | 02583nam a2200349 i 4500 | ||
|---|---|---|---|
| 003 | UkCbUP | ||
| 005 | 20251211152223.0 | ||
| 008 | 210517s2023||||enk o ||1 0|eng|d | ||
| 020 | _a9781009089005 (ebook) | ||
| 020 | _z9781009096287 (paperback) | ||
| 041 | _aEnglish | ||
| 082 | 0 | 0 |
_a511.36 _223/eng20230510 _bFUC |
| 100 | 1 | _aFuchs, Shay, | |
| 100 | 1 | _eauthor. | |
| 245 | 1 | 0 |
_aIntroduction to proofs and proof strategies / _cShay Fuchs, University of Toronto. |
| 260 |
_aCambridge, United Kingdom : _bCambridge University Press, _c2023. |
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| 300 |
_axiii, 342 pages : _billustrations ; _c26 cm. |
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| 490 | 1 | _aCambridge mathematical textbooks. | |
| 500 | _aTitle from publisher's bibliographic system (viewed on 09 Jun 2023). | ||
| 505 | _aCore material. Numbers, quadratics and inequalities Sets, functions and the field axioms Informal logic and proof strategies Mathematical induction Bijections and cardinality Integers and divisibility Relations Additional topics. Elementarly combinatories Preview of real analysis limits and continuity Complex numbers Preview of linear algebra | ||
| 520 | _aEmphasizing the creative nature of mathematics, this conversational textbook guides students through the process of discovering a proof. The material revolves around possible strategies to approaching a problem without classifying 'types of proofs' or providing proof templates. Instead, it helps students develop the thinking skills needed to tackle mathematics when there is no clear algorithm or recipe to follow. Beginning by discussing familiar and fundamental topics from a more theoretical perspective, the book moves on to inequalities, induction, relations, cardinality, and elementary number theory. The final supplementary chapters allow students to apply these strategies to the topics they will learn in future courses. With its focus on 'doing mathematics' through 200 worked examples, over 370 problems, illustrations, discussions, and minimal prerequisites, this course will be indispensable to first- and second-year students in mathematics, statistics, and computer science. Instructor resources include solutions to select problems. | ||
| 650 | 0 | _aProof theory | |
| 650 | 0 | _aLogic, Symbolic and mathematical | |
| 650 | 0 | _vTextbooks. | |
| 650 | 0 | _vTextbooks. | |
| 776 | 0 | 8 |
_iPrint version: _z9781009096287. |
| 830 | 0 | _aCambridge mathematical textbooks. | |
| 856 | 4 | 0 | _uhttps://ezproxy.lib.gla.ac.uk/login?url=https://doi.org/10.1017/9781009089005 |
| 856 | 4 | 0 | _zConnect to e-book |
| 907 | _a.b4029951x | ||
| 942 |
_2ddc _cBOOKS |
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| 999 |
_c46360 _d46360 |
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