├── .gitattributes ├── .gitignore ├── CC-BY-NC-ND_license.md ├── CH01_Logic_and_Proofs ├── CH01_01_Proposition_Logic_and_Propositional_Equivalences.md ├── CH01_02_Predicate_Logic_and_Nested_Quantifiers.md ├── CH01_03_Normal_Form.md └── CH01_04_Rules_of_Inference_and_Proofs.md ├── CH02_Basic_Structures ├── CH02_01_Set.md ├── CH02_02_Function_and_Sequence.md └── CH02_03_Cardinality_of_Sets.md ├── CH03_Algorithms └── CH03_01_Algorithms.md ├── CH05_Induction_and_Recursion ├── CH05_01_Induction.md └── CH05_02_Recursive.md ├── CH06_Counting ├── CH06_01_The_Basic_of_Counting.md ├── CH06_02_The_Pigeonhole_Principle.md ├── CH06_03_Generalized_Permutations_and_Combinations.md └── CH06_04_Algorithms_About_Counting.md ├── CH08_Advanced_Counting_Techniques └── CH08_01_Deeper_Discussion_About_Recurrence_Relations.md ├── README.md └── img ├── CC-BY-NC-ND.png ├── CH01 ├── 001.png ├── 002.png ├── 003.png ├── 004.png ├── 005.png ├── 006.png ├── 007.png ├── 008.png ├── 009.png ├── 010.png ├── 011.png ├── 012.png ├── 013.png ├── 014.png ├── 015.png ├── 016.png ├── 017.png ├── 018.png ├── 019.png ├── 020.png └── png2md.md ├── CH02 ├── 01.png ├── 02.png ├── 03.png ├── 04.png ├── 05.png ├── 06.png ├── 07.png ├── 08.png ├── 09.png ├── 10.png └── 11.png ├── CH03 ├── 1.png ├── 2.png ├── 3.png ├── 4.png ├── 5.png ├── 6.png └── 7.png ├── CH06 ├── 01.png ├── 02.png ├── 03.png ├── 04.png └── 05.png └── CH08 └── 01_mindmap.png /.gitattributes: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/.gitattributes -------------------------------------------------------------------------------- /.gitignore: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/.gitignore -------------------------------------------------------------------------------- /CC-BY-NC-ND_license.md: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/CC-BY-NC-ND_license.md -------------------------------------------------------------------------------- /CH01_Logic_and_Proofs/CH01_01_Proposition_Logic_and_Propositional_Equivalences.md: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/CH01_Logic_and_Proofs/CH01_01_Proposition_Logic_and_Propositional_Equivalences.md -------------------------------------------------------------------------------- /CH01_Logic_and_Proofs/CH01_02_Predicate_Logic_and_Nested_Quantifiers.md: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/CH01_Logic_and_Proofs/CH01_02_Predicate_Logic_and_Nested_Quantifiers.md -------------------------------------------------------------------------------- /CH01_Logic_and_Proofs/CH01_03_Normal_Form.md: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/CH01_Logic_and_Proofs/CH01_03_Normal_Form.md -------------------------------------------------------------------------------- /CH01_Logic_and_Proofs/CH01_04_Rules_of_Inference_and_Proofs.md: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/CH01_Logic_and_Proofs/CH01_04_Rules_of_Inference_and_Proofs.md -------------------------------------------------------------------------------- /CH02_Basic_Structures/CH02_01_Set.md: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/CH02_Basic_Structures/CH02_01_Set.md -------------------------------------------------------------------------------- /CH02_Basic_Structures/CH02_02_Function_and_Sequence.md: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/CH02_Basic_Structures/CH02_02_Function_and_Sequence.md -------------------------------------------------------------------------------- /CH02_Basic_Structures/CH02_03_Cardinality_of_Sets.md: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/CH02_Basic_Structures/CH02_03_Cardinality_of_Sets.md -------------------------------------------------------------------------------- /CH03_Algorithms/CH03_01_Algorithms.md: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/CH03_Algorithms/CH03_01_Algorithms.md -------------------------------------------------------------------------------- /CH05_Induction_and_Recursion/CH05_01_Induction.md: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/CH05_Induction_and_Recursion/CH05_01_Induction.md -------------------------------------------------------------------------------- /CH05_Induction_and_Recursion/CH05_02_Recursive.md: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/CH05_Induction_and_Recursion/CH05_02_Recursive.md -------------------------------------------------------------------------------- /CH06_Counting/CH06_01_The_Basic_of_Counting.md: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/CH06_Counting/CH06_01_The_Basic_of_Counting.md -------------------------------------------------------------------------------- /CH06_Counting/CH06_02_The_Pigeonhole_Principle.md: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/CH06_Counting/CH06_02_The_Pigeonhole_Principle.md -------------------------------------------------------------------------------- /CH06_Counting/CH06_03_Generalized_Permutations_and_Combinations.md: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/CH06_Counting/CH06_03_Generalized_Permutations_and_Combinations.md -------------------------------------------------------------------------------- /CH06_Counting/CH06_04_Algorithms_About_Counting.md: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/CH06_Counting/CH06_04_Algorithms_About_Counting.md -------------------------------------------------------------------------------- /CH08_Advanced_Counting_Techniques/CH08_01_Deeper_Discussion_About_Recurrence_Relations.md: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/CH08_Advanced_Counting_Techniques/CH08_01_Deeper_Discussion_About_Recurrence_Relations.md -------------------------------------------------------------------------------- /README.md: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/README.md -------------------------------------------------------------------------------- /img/CC-BY-NC-ND.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/img/CC-BY-NC-ND.png -------------------------------------------------------------------------------- /img/CH01/001.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/img/CH01/001.png -------------------------------------------------------------------------------- /img/CH01/002.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/img/CH01/002.png -------------------------------------------------------------------------------- /img/CH01/003.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/img/CH01/003.png -------------------------------------------------------------------------------- /img/CH01/004.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/img/CH01/004.png -------------------------------------------------------------------------------- /img/CH01/005.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/img/CH01/005.png -------------------------------------------------------------------------------- /img/CH01/006.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/img/CH01/006.png -------------------------------------------------------------------------------- /img/CH01/007.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/img/CH01/007.png -------------------------------------------------------------------------------- /img/CH01/008.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/img/CH01/008.png -------------------------------------------------------------------------------- /img/CH01/009.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/img/CH01/009.png -------------------------------------------------------------------------------- /img/CH01/010.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/img/CH01/010.png -------------------------------------------------------------------------------- /img/CH01/011.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/img/CH01/011.png -------------------------------------------------------------------------------- /img/CH01/012.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/img/CH01/012.png -------------------------------------------------------------------------------- /img/CH01/013.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/img/CH01/013.png -------------------------------------------------------------------------------- /img/CH01/014.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/img/CH01/014.png -------------------------------------------------------------------------------- /img/CH01/015.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/img/CH01/015.png -------------------------------------------------------------------------------- /img/CH01/016.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/img/CH01/016.png -------------------------------------------------------------------------------- /img/CH01/017.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/img/CH01/017.png -------------------------------------------------------------------------------- /img/CH01/018.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/img/CH01/018.png -------------------------------------------------------------------------------- /img/CH01/019.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/img/CH01/019.png -------------------------------------------------------------------------------- /img/CH01/020.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/img/CH01/020.png -------------------------------------------------------------------------------- /img/CH01/png2md.md: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/img/CH01/png2md.md -------------------------------------------------------------------------------- /img/CH02/01.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/img/CH02/01.png -------------------------------------------------------------------------------- /img/CH02/02.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/img/CH02/02.png -------------------------------------------------------------------------------- /img/CH02/03.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/img/CH02/03.png -------------------------------------------------------------------------------- /img/CH02/04.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/img/CH02/04.png -------------------------------------------------------------------------------- /img/CH02/05.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/img/CH02/05.png -------------------------------------------------------------------------------- /img/CH02/06.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/img/CH02/06.png -------------------------------------------------------------------------------- /img/CH02/07.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/img/CH02/07.png -------------------------------------------------------------------------------- /img/CH02/08.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/img/CH02/08.png -------------------------------------------------------------------------------- /img/CH02/09.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/img/CH02/09.png -------------------------------------------------------------------------------- /img/CH02/10.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/img/CH02/10.png -------------------------------------------------------------------------------- /img/CH02/11.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/img/CH02/11.png -------------------------------------------------------------------------------- /img/CH03/1.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/img/CH03/1.png -------------------------------------------------------------------------------- /img/CH03/2.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/img/CH03/2.png -------------------------------------------------------------------------------- /img/CH03/3.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/img/CH03/3.png -------------------------------------------------------------------------------- /img/CH03/4.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/img/CH03/4.png -------------------------------------------------------------------------------- /img/CH03/5.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/img/CH03/5.png -------------------------------------------------------------------------------- /img/CH03/6.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/img/CH03/6.png -------------------------------------------------------------------------------- /img/CH03/7.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/img/CH03/7.png -------------------------------------------------------------------------------- /img/CH06/01.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/img/CH06/01.png -------------------------------------------------------------------------------- /img/CH06/02.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/img/CH06/02.png -------------------------------------------------------------------------------- /img/CH06/03.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/img/CH06/03.png -------------------------------------------------------------------------------- /img/CH06/04.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/img/CH06/04.png -------------------------------------------------------------------------------- /img/CH06/05.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/img/CH06/05.png -------------------------------------------------------------------------------- /img/CH08/01_mindmap.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/iamNCJ/Discrete_Mathematics_Explained_in_Detail/HEAD/img/CH08/01_mindmap.png --------------------------------------------------------------------------------