A logical introduction to proof
A Logical Introduction to Proof is a unique textbook that uses a logic-first approach to train and guide undergraduates through a transition or bridge course between calculus and advanced mathematics courses. The author s approach prepares the student for the rigors required in future mathematics...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Livre numérique |
| Sprache: | Anglais |
| Veröffentlicht: |
New York, NY :
Springer New York : Imprint: Springer
[20..].
Cham : Springer Nature |
| Schlagworte: | |
| Online Zugang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Anmerkung: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • A logical introduction to proof, Daniel W. Cunningham, New York, Springer, 2012, 1 vol.(XV-356 p.), 978-1-461-43630-0 |
| LEADER | 04427nam a22003617a 4500 | ||
|---|---|---|---|
| 001 | 949622 | ||
| 008 | 130325q2000 xx ||| |||| 00| 0 eng d | ||
| 009 | PPN168297949 | ||
| 020 | |a 9781461436317 | ||
| 020 | |a 9781461436317 | ||
| 041 | 0 | |a eng | |
| 082 | |a 510 | ||
| 100 | 1 | |a Cunningham, Daniel W. | |
| 245 | 1 | 0 | |a A logical introduction to proof |c Daniel W. Cunningham. |
| 260 | |a New York, NY : |b Springer New York : |b Imprint: Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a Preface The Greek Alphabet 1. Propositional Logic 2. Predicate Logic 3. Proof Strategies and Diagrams 4. Mathematical Induction 5. Set Theory 6. Functions 7. Relations 8. Core Concepts in Abstract Algebra 9. Core Concepts in Real Analysis A Summary of Strategies References List of Symbols. Index | |
| 505 | 0 | |a Preface -- The Greek Alphabet -- 1. Propositional Logic -- 2. Predicate Logic -- 3. Proof Strategies and Diagrams -- 4. Mathematical Induction -- 5. Set Theory -- 6. Functions -- 7. Relations -- 8. Core Concepts in Abstract Algebra -- 9. Core Concepts in Real Analysis -- A Summary of Strategies -- References -- List of Symbols. Index | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a A Logical Introduction to Proof is a unique textbook that uses a logic-first approach to train and guide undergraduates through a transition or bridge course between calculus and advanced mathematics courses. The author s approach prepares the student for the rigors required in future mathematics courses and is appropriate for majors in mathematics, computer science, engineering, as well as other applied mathematical sciences. It may also be beneficial as a supplement for students at the graduate level who need guidance or reference for writing proofs. Core topics covered are logic, sets, relations, functions, and induction, where logic is the instrument for analyzing the structure of mathematical assertions and is a tool for composing mathematical proofs. Exercises are given at the end of each section within a chapter.Chapter 1 focuses on propositional logic while Chapter 2 is devoted to the logic of quantifiers. Chapter 3 methodically presents the key strategies that are used in mathematical proofs; each presented as a proof diagram. Every proof strategy is carefully illustrated by a variety of mathematical theorems concerning the natural, rational, and real numbers. Chapter 4 focuses on mathematical induction and concludes with a proof of the fundamental theorem of arithmetic. Chapters 5 through 7 introduce students to the essential concepts that appear in all branches of mathematics. Chapter 8 introduces the basic structures of abstract algebra: groups, rings, quotient groups, and quotient rings. Finally, Chapter 9 presents proof strategies that explicitly show students how to deal with the fundamental definitions that they will encounter in real analysis, followed by numerous examples of proofs that use these strategies. The appendix provides a useful summary of strategies for dealing with proofs | ||
| 650 | |a Ensembles, Théorie des | ||
| 650 | |a Induction (mathématiques) | ||
| 650 | |a Logique symbolique et mathématique | ||
| 776 | 0 | |0 174686226 |t A logical introduction to proof |f Daniel W. Cunningham |c New York |n Springer |d 2012 |p 1 vol.(XV-356 p.) |z 978-1-461-43630-0 | |
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| 856 | 4 | |5 452349901:748116516 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/978-1-4614-3631-7 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:751571040 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/978-1-4614-3631-7 |z Accès INSA CVL | |
| 997 | |0 949622 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||