Introduction to Discrete Mathematics via Logic and Proof
This textbook introduces discrete mathematics by emphasizing the importance of reading and writing proofs. Because it begins by carefully establishing a familiarity with mathematical logic and proof, this approach suits not only a discrete mathematics course, but can also function as a transition to...
Κύριος συγγραφέας: | |
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Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
Cham :
Springer International Publishing : Imprint: Springer,
2019.
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Έκδοση: | 1st ed. 2019. |
Σειρά: | Undergraduate Texts in Mathematics,
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Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- Preface
- List of Notations
- 1. Propositional Logic
- 2. First-Order Logic
- 3. Mathematical Induction and Arithmetic
- 4. Basic Set Theory and Combinatorics
- 5. Set Theory and Infinity
- 6. Functions and Equivalence Relations
- 7. Posets, Lattices, and Boolean Algebra
- 8. Topics in Graph Theory
- A. Inference Rules for PL and FOL
- Index.