Introduction to Discrete Mathematics via Logic and Proof / / by Calvin Jongsma
(Visualizza in formato marc)
(Visualizza in BIBFRAME)
| Autore: |
Jongsma Calvin
|
| Titolo: |
Introduction to Discrete Mathematics via Logic and Proof / / by Calvin Jongsma
|
| Pubblicazione: | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 |
| Edizione: | 1st ed. 2019. |
| Descrizione fisica: | 1 online resource (XX, 482 p. 854 illus., 5 illus. in color.) |
| Disciplina: | 004.0151 |
| Soggetto topico: | Discrete mathematics |
| Mathematical logic | |
| Discrete Mathematics | |
| Mathematical Logic and Foundations | |
| Nota di contenuto: | 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. |
| Sommario/riassunto: | 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 proof. Its unique, deductive perspective on mathematical logic provides students with the tools to more deeply understand mathematical methodology—an approach that the author has successfully classroom tested for decades. Chapters are helpfully organized so that, as they escalate in complexity, their underlying connections are easily identifiable. Mathematical logic and proofs are first introduced before moving onto more complex topics in discrete mathematics. Some of these topics include: Mathematical and structural induction Set theory Combinatorics Functions, relations, and ordered sets Boolean algebra and Boolean functions Graph theory Introduction to Discrete Mathematics via Logic and Proof will suit intermediate undergraduates majoring in mathematics, computer science, engineering, and related subjects with no formal prerequisites beyond a background in secondary mathematics. |
| Titolo autorizzato: | Introduction to Discrete Mathematics via Logic and Proof |
| ISBN: | 3-030-25358-9 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910360852103321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Undergraduate Texts in Mathematics, . 0172-6056