SØG - mellem flere end 8 millioner bøger:
Viser: Introduction to Discrete Mathematics Via Logic and Proof
Introduction to Discrete Mathematics Via Logic and Proof
Calvin Jongsma
(2019)
Sprog: Engelsk
Detaljer om varen
- Hardback
- Udgiver: Springer International Publishing AG (December 2019)
- ISBN: 9783030253578
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.
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.
Handler du som firma
Forretningsbetingelser
Porto og forsendelse
Data & cookiepolitik
Tlf 77 42 43 44 - email poly@polyteknisk.dk - CVR 34072655 - Sydbank Reg: 6748 Konto 0001107927