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- PDF Name: Discrete Mathematics
- Book’s Language: English
- Pages: 139
- File Size: 1.54 MB
- Downloads Type: Free PDF Download Books
- PDF File Name: Discrete-Mathematics.pdf
- Read PDF Online: Read Discrete Mathematics Book PDF Online
- Category of the Book: Education
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Summary of Discrete Mathematics
“Discrete Mathematics” Highlights
- Discrete mathematics is the subject of the document.
- Discrete mathematics studies countable and finite sets, logical assertions, algorithms, graphs, and relations.
- It introduces discrete mathematics’ core concepts and principles.
- Sets, relations, functions, propositional and predicate logic, mathematical induction, combinatorics, and graph theory are covered.
- Properties, operations, subsets, and set operations including union, intersection, and complement are addressed.
- Reflexivity, symmetry, transitivity, equivalence relations, and partial orders are examined.
- Domain, codomain, range, injectivity, surjectivity, bijectivity, composition, and inverse functions are investigated in functions.
- Propositional logic introduces logical operators (AND, OR, NOT), truth tables, logical equivalences, and rules.
- Predicate logic includes quantifiers (existential and universal), predicates, and logical connectives.
- Mathematical induction proves all natural number properties.
- Combinatorics covers permutations, combinations, binomial coefficients, and inclusion-exclusion.
- Graph theory introduces graphs, vertices, edges, routes, cycles, trees, planarity, and graph coloring.
- Examples, images, and exercises help explain the subject.
- Computer science, cryptography, and algorithms use discrete mathematics.
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