Sl.No | Chapter Name | MP4 Download |
---|---|---|
1 | Introduction to Mathematical Logic | Download |
2 | Logical Equivalence | Download |
3 | SAT Problem | Download |
4 | Rules of Inference | Download |
5 | Resolution | Download |
6 | Tutorial 1: Part I | Download |
7 | Tutorial 1: Part II | Download |
8 | Predicate Logic | Download |
9 | Rules of Inferences in Predicate Logic | Download |
10 | Proof Strategies I | Download |
11 | Proof Strategies II | Download |
12 | Induction | Download |
13 | Tutorial 2: Part I | Download |
14 | Tutorial 2: Part II | Download |
15 | Sets | Download |
16 | Relations | Download |
17 | Operations on Relations | Download |
18 | Transitive Closure of Relations | Download |
19 | Warshall’s Algorithm for Computing Transitive Closure | Download |
20 | Tutorial 3 | Download |
21 | Equivalence Relation | Download |
22 | Equivalence Relations and Partitions | Download |
23 | Partial Ordering | Download |
24 | Functions | Download |
25 | Tutorial 4: Part I | Download |
26 | Tutorial 4: Part II | Download |
27 | Countable and Uncountable Sets | Download |
28 | Examples of Countably Infinite Sets | Download |
29 | Cantor’s Diagonalization Argument | Download |
30 | Uncomputable Functions | Download |
31 | Tutorial 5 | Download |
32 | Basic Rules of Counting | Download |
33 | Permutation and Combination | Download |
34 | Counting Using Recurrence Equations | Download |
35 | Solving Linear Homogeneous Recurrence Equations – Part I | Download |
36 | Solving Linear Homogeneous Recurrence Equations – Part II | Download |
37 | Tutorial 6: Part I | Download |
38 | Tutorial 6: Part II | Download |
39 | Solving Linear Non-Homogeneous Recurrence Equations | Download |
40 | Catalan Numbers | Download |
41 | Catalan Numbers – Derivation of Closed Form Formula | Download |
42 | Counting Using Principle of Inclusion-Exclusion | Download |
43 | Tutorial 7 | Download |
44 | Graph Theory Basics | Download |
45 | Matching | Download |
46 | Proof of Hall’s Marriage Theorem | Download |
47 | Various Operations on Graphs | Download |
48 | Vertex and Edge Connectivity | Download |
49 | Tutorial 8 | Download |
50 | Euler Path and Euler Circuit | Download |
51 | Hamiltonian Circuit | Download |
52 | Vertex and Edge Coloring | Download |
53 | Tutorial 9: Part I | Download |
54 | Tutorial 9: Part II | Download |
55 | Modular Arithmetic | Download |
56 | Prime Numbers and GCD | Download |
57 | Properties of GCD and Bézout’s Theorem | Download |
58 | Linear Congruence Equations and Chinese Remainder Theorem | Download |
59 | Uniqueness Proof of the CRT | Download |
60 | Fermat’s Little Theorem, Primality Testing and Carmichael Numbers | Download |
61 | Group Theory | Download |
62 | Cyclic Groups | Download |
63 | Subgroups | Download |
64 | More Applications of Groups | Download |
65 | Discrete Logarithm and Cryptographic Applications | Download |
66 | Rings, Fields and Polynomials | Download |
67 | Polynomials Over Fields and Properties | Download |
68 | Finite Fields and Properties I | Download |
69 | Finite Fields and Properties II | Download |
70 | Primitive Element of a Finite Field | Download |
71 | Applications of Finite Fields | Download |
72 | Goodbye and Farewell | Download |
Sl.No | Chapter Name | English |
---|---|---|
1 | Introduction to Mathematical Logic | Download Verified |
2 | Logical Equivalence | Download Verified |
3 | SAT Problem | Download Verified |
4 | Rules of Inference | Download Verified |
5 | Resolution | Download Verified |
6 | Tutorial 1: Part I | Download Verified |
7 | Tutorial 1: Part II | Download Verified |
8 | Predicate Logic | Download Verified |
9 | Rules of Inferences in Predicate Logic | Download Verified |
10 | Proof Strategies I | Download Verified |
11 | Proof Strategies II | Download Verified |
12 | Induction | Download Verified |
13 | Tutorial 2: Part I | Download Verified |
14 | Tutorial 2: Part II | Download Verified |
15 | Sets | Download Verified |
16 | Relations | Download Verified |
17 | Operations on Relations | Download Verified |
18 | Transitive Closure of Relations | Download Verified |
19 | Warshall’s Algorithm for Computing Transitive Closure | Download Verified |
20 | Tutorial 3 | Download Verified |
21 | Equivalence Relation | Download Verified |
22 | Equivalence Relations and Partitions | Download Verified |
23 | Partial Ordering | Download Verified |
24 | Functions | Download Verified |
25 | Tutorial 4: Part I | Download Verified |
26 | Tutorial 4: Part II | Download Verified |
27 | Countable and Uncountable Sets | Download Verified |
28 | Examples of Countably Infinite Sets | Download Verified |
29 | Cantor’s Diagonalization Argument | Download Verified |
30 | Uncomputable Functions | Download Verified |
31 | Tutorial 5 | Download Verified |
32 | Basic Rules of Counting | Download Verified |
33 | Permutation and Combination | Download Verified |
34 | Counting Using Recurrence Equations | Download Verified |
35 | Solving Linear Homogeneous Recurrence Equations – Part I | Download Verified |
36 | Solving Linear Homogeneous Recurrence Equations – Part II | Download Verified |
37 | Tutorial 6: Part I | Download Verified |
38 | Tutorial 6: Part II | Download Verified |
39 | Solving Linear Non-Homogeneous Recurrence Equations | Download Verified |
40 | Catalan Numbers | Download Verified |
41 | Catalan Numbers – Derivation of Closed Form Formula | Download Verified |
42 | Counting Using Principle of Inclusion-Exclusion | Download Verified |
43 | Tutorial 7 | Download Verified |
44 | Graph Theory Basics | Download Verified |
45 | Matching | Download Verified |
46 | Proof of Hall’s Marriage Theorem | Download Verified |
47 | Various Operations on Graphs | Download Verified |
48 | Vertex and Edge Connectivity | Download Verified |
49 | Tutorial 8 | Download Verified |
50 | Euler Path and Euler Circuit | Download Verified |
51 | Hamiltonian Circuit | Download Verified |
52 | Vertex and Edge Coloring | Download Verified |
53 | Tutorial 9: Part I | Download Verified |
54 | Tutorial 9: Part II | Download Verified |
55 | Modular Arithmetic | Download Verified |
56 | Prime Numbers and GCD | Download Verified |
57 | Properties of GCD and Bézout’s Theorem | Download Verified |
58 | Linear Congruence Equations and Chinese Remainder Theorem | Download Verified |
59 | Uniqueness Proof of the CRT | Download Verified |
60 | Fermat’s Little Theorem, Primality Testing and Carmichael Numbers | Download Verified |
61 | Group Theory | Download Verified |
62 | Cyclic Groups | Download Verified |
63 | Subgroups | Download Verified |
64 | More Applications of Groups | Download Verified |
65 | Discrete Logarithm and Cryptographic Applications | Download Verified |
66 | Rings, Fields and Polynomials | Download Verified |
67 | Polynomials Over Fields and Properties | Download Verified |
68 | Finite Fields and Properties I | Download Verified |
69 | Finite Fields and Properties II | Download Verified |
70 | Primitive Element of a Finite Field | Download Verified |
71 | Applications of Finite Fields | Download Verified |
72 | Goodbye and Farewell | Download Verified |
Sl.No | Language | Book link |
---|---|---|
1 | English | Download |
2 | Bengali | Not Available |
3 | Gujarati | Not Available |
4 | Hindi | Not Available |
5 | Kannada | Not Available |
6 | Malayalam | Not Available |
7 | Marathi | Not Available |
8 | Tamil | Not Available |
9 | Telugu | Not Available |