The nuts and bolts of proofs: an introduction to mathematical proofs
The Nuts and Bolts of Proofs: An Introduction to Mathematical Proofs, Fifth Edition provides basic logic of mathematical proofs and how they work. The book offers techniques for both reading and writing proofs, discusses techniques in proving if/then statements by contrapositive and proofing by cont...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
London ; San Diego, CA ; Cambridge, MA ; Oxford
Academic Press, an Imprint of Elsevier
[2024]
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| Ausgabe: | Fifth edition |
| Schlagworte: | |
| Online-Zugang: | FHI01 Volltext |
| Zusammenfassung: | The Nuts and Bolts of Proofs: An Introduction to Mathematical Proofs, Fifth Edition provides basic logic of mathematical proofs and how they work. The book offers techniques for both reading and writing proofs, discusses techniques in proving if/then statements by contrapositive and proofing by contradiction, includes the negation statement, and/or, examines various theorems, such as the if and only-if, equivalence theorems, existence theorems, and the uniqueness theorems. In addition, the use of counter examples, mathematical induction, composite statements including multiple hypothesis and multiple conclusions, and equality of numbers are also covered. The book also provides mathematical topics for practicing proof techniques. Included here are the Cartesian products, indexed families, functions, and relations. The last chapter of the book provides review exercises on various topics. Undergraduate students in engineering and physical science will find this book accessible as well as invaluable |
| Beschreibung: | 1 Online-Ressource (xiv, 402 Seiten) Illustrationen |
| ISBN: | 9780323990202 |
| DOI: | 10.1016/C2021-0-01057-9 |
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| illustrated | Not Illustrated |
| index_date | 2024-07-03T22:46:54Z |
| indexdate | 2024-07-10T10:02:02Z |
| institution | BVB |
| isbn | 9780323990202 |
| language | English |
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| spelling | Cupillari, Antonella 1955- Verfasser (DE-588)136740871 aut The nuts and bolts of proofs an introduction to mathematical proofs Antonella Cupillari Fifth edition London ; San Diego, CA ; Cambridge, MA ; Oxford Academic Press, an Imprint of Elsevier [2024] 1 Online-Ressource (xiv, 402 Seiten) Illustrationen txt rdacontent c rdamedia cr rdacarrier The Nuts and Bolts of Proofs: An Introduction to Mathematical Proofs, Fifth Edition provides basic logic of mathematical proofs and how they work. The book offers techniques for both reading and writing proofs, discusses techniques in proving if/then statements by contrapositive and proofing by contradiction, includes the negation statement, and/or, examines various theorems, such as the if and only-if, equivalence theorems, existence theorems, and the uniqueness theorems. In addition, the use of counter examples, mathematical induction, composite statements including multiple hypothesis and multiple conclusions, and equality of numbers are also covered. The book also provides mathematical topics for practicing proof techniques. Included here are the Cartesian products, indexed families, functions, and relations. The last chapter of the book provides review exercises on various topics. Undergraduate students in engineering and physical science will find this book accessible as well as invaluable Proof theory 9780323990202 paperback https://doi.org/10.1016/C2021-0-01057-9 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Cupillari, Antonella 1955- The nuts and bolts of proofs an introduction to mathematical proofs |
| title | The nuts and bolts of proofs an introduction to mathematical proofs |
| title_auth | The nuts and bolts of proofs an introduction to mathematical proofs |
| title_exact_search | The nuts and bolts of proofs an introduction to mathematical proofs |
| title_exact_search_txtP | The nuts and bolts of proofs an introduction to mathematical proofs |
| title_full | The nuts and bolts of proofs an introduction to mathematical proofs Antonella Cupillari |
| title_fullStr | The nuts and bolts of proofs an introduction to mathematical proofs Antonella Cupillari |
| title_full_unstemmed | The nuts and bolts of proofs an introduction to mathematical proofs Antonella Cupillari |
| title_short | The nuts and bolts of proofs |
| title_sort | the nuts and bolts of proofs an introduction to mathematical proofs |
| title_sub | an introduction to mathematical proofs |
| url | https://doi.org/10.1016/C2021-0-01057-9 |
| work_keys_str_mv | AT cupillariantonella thenutsandboltsofproofsanintroductiontomathematicalproofs |