| Module Name | Download |
|---|---|
| noc20_cs37_assigment_1 | noc20_cs37_assigment_1 |
| noc20_cs37_assigment_10 | noc20_cs37_assigment_10 |
| noc20_cs37_assigment_11 | noc20_cs37_assigment_11 |
| noc20_cs37_assigment_12 | noc20_cs37_assigment_12 |
| noc20_cs37_assigment_13 | noc20_cs37_assigment_13 |
| noc20_cs37_assigment_2 | noc20_cs37_assigment_2 |
| noc20_cs37_assigment_3 | noc20_cs37_assigment_3 |
| noc20_cs37_assigment_4 | noc20_cs37_assigment_4 |
| noc20_cs37_assigment_5 | noc20_cs37_assigment_5 |
| noc20_cs37_assigment_6 | noc20_cs37_assigment_6 |
| noc20_cs37_assigment_7 | noc20_cs37_assigment_7 |
| noc20_cs37_assigment_8 | noc20_cs37_assigment_8 |
| noc20_cs37_assigment_9 | noc20_cs37_assigment_9 |
| Sl.No | Chapter Name | MP4 Download |
|---|---|---|
| 1 | Motivation for Counting | Download |
| 2 | Paper Folding Example | Download |
| 3 | Rubik's Cube Example | Download |
| 4 | Factorial Example | Download |
| 5 | Counting in Computer Science | Download |
| 6 | Motivation for Catalan numbers | Download |
| 7 | Rule of Sum and Rule of Product | Download |
| 8 | Problems on Rule of Sum and Rule of Product | Download |
| 9 | Factorial Explained | Download |
| 10 | Proof of n! - Part 1 | Download |
| 11 | Proof of n! - Part 2 | Download |
| 12 | Astronomical Numbers | Download |
| 13 | Permutations - Part 1 | Download |
| 14 | Permutations - Part 2 | Download |
| 15 | Permutations - Part 3 | Download |
| 16 | Permutations - Part 4 | Download |
| 17 | Problems on Permutations | Download |
| 18 | Combinations - Part 1 | Download |
| 19 | Combinations - Part 2 | Download |
| 20 | Combinations - Part 3 | Download |
| 21 | Combinations - Part 4 | Download |
| 22 | Problems on Combinations | Download |
| 23 | Difference between Permuations and Combinations | Download |
| 24 | Combination with Repetition - Part 1 | Download |
| 25 | Combination with Repetition - Part 2 | Download |
| 26 | Combination with Repetition - Problems | Download |
| 27 | Binomial theorem | Download |
| 28 | Applications of Binomial theorem | Download |
| 29 | Properties of Binomial theorem | Download |
| 30 | Multinomial theorem | Download |
| 31 | Problems on Binomial theorem | Download |
| 32 | Pascal's Triangle | Download |
| 33 | Fun facts on Pascal's Triangle | Download |
| 34 | Catalan Numbers - Part 1 | Download |
| 35 | Catalan Numbers - Part 2 | Download |
| 36 | Catalan Numbers - Part 3 | Download |
| 37 | Catalan Numbers - Part 4 | Download |
| 38 | Examples of Catalan numbers | Download |
| 39 | Chapter Summary | Download |
| 40 | Introduction to Set Theory | Download |
| 41 | Example, definiton and notation | Download |
| 42 | Sets - Problems Part 1 | Download |
| 43 | Subsets - Part 1 | Download |
| 44 | Subsets - Part 2 | Download |
| 45 | Subsets - Part 3 | Download |
| 46 | Union and intersections of sets | Download |
| 47 | Union and intersections of sets - Part 1 | Download |
| 48 | Union and intersections of sets - Part 2 | Download |
| 49 | Union and intersections of sets - Part 3 | Download |
| 50 | Cardinality of Union of two sets - Part 1 | Download |
| 51 | Cardinality of Union of sets - Part 2 | Download |
| 52 | Cardinality of Union of three sets | Download |
| 53 | Power Set - Part 1 | Download |
| 54 | Power set - Part 2 | Download |
| 55 | Power set - Part 3 | Download |
| 56 | Connection betwenn Binomial Theorem and Power Sets | Download |
| 57 | Power set - Problems | Download |
| 58 | Complement of a set | Download |
| 59 | De Morgan's Laws - Part 1 | Download |
| 60 | De Morgan's Laws - Part 2 | Download |
| 61 | A proof technique | Download |
| 62 | De Morgan's Laws - Part 3 | Download |
| 63 | De Morgan's Laws - Part 4 | Download |
| 64 | Set difference - Part 1 | Download |
| 65 | Set difference - Part 2 | Download |
| 66 | Symmetric difference | Download |
| 67 | History | Download |
| 68 | Summary | Download |
| 69 | Motivational example | Download |
| 70 | Introduction to Statements | Download |
| 71 | Examples and Non-examples of Statements | Download |
| 72 | Introduction to Negation | Download |
| 73 | Negation - Explanation | Download |
| 74 | Negation - Truthtable | Download |
| 75 | Examples for Negation | Download |
| 76 | Motivation for OR operator | Download |
| 77 | Introduction to OR operator | Download |
| 78 | Truthtable for OR operator | Download |
| 79 | OR operator for 3 Variables | Download |
| 80 | Truthtable for AND operator | Download |
| 81 | AND operator for 3 Variables | Download |
| 82 | Primitive and Compound statements - Part 1 | Download |
| 83 | Primitive and Compound statements - Part 2 | Download |
| 84 | Problems involoving NOT, OR and AND operators | Download |
| 85 | Introduction to implication | Download |
| 86 | Examples and Non-examples of Implication - Part 1 | Download |
| 87 | Examples and Non-examples of Implication - Part 2 | Download |
| 88 | Explanation of Implication | Download |
| 89 | Introduction to Double Implication | Download |
| 90 | Explanation of Double Implication | Download |
| 91 | Converse, Inverse and Contrapositive | Download |
| 92 | XOR operator - Part 1 | Download |
| 93 | XOR operator - Part 2 | Download |
| 94 | XOR operator - Part 3 | Download |
| 95 | Problems | Download |
| 96 | Tautology, Contradiction - Part 1 | Download |
| 97 | Tautology, Contradiction - Part 2 | Download |
| 98 | Tautology, Contradiction - Part 3 | Download |
| 99 | SAT Problem - Part 1 | Download |
| 100 | SAT Problem - Part 2 | Download |
| 101 | Logical Equivalence - Part 1 | Download |
| 102 | Logical Equivalence - Part 2 | Download |
| 103 | Logical Equivalence - Part 3 | Download |
| 104 | Logical Equivalence - Part 4 | Download |
| 105 | Motivation for laws of logic | Download |
| 106 | Double negation - Part 1 | Download |
| 107 | Double negation - Part 2 | Download |
| 108 | Laws of Logic | Download |
| 109 | De Morgan's Law - Part 1 | Download |
| 110 | De Morgan's Law - Part 2 | Download |
| 111 | Rules of Inferences - Part 1 | Download |
| 112 | Rules of Inferences - Part 2 | Download |
| 113 | Rules of Inferences - Part 3 | Download |
| 114 | Rules of Inferences - Part 4 | Download |
| 115 | Rules of Inferences - Part 5 | Download |
| 116 | Rules of Inferences - Part 6 | Download |
| 117 | Rules of Inferences - Part 7 | Download |
| 118 | Conclusion | Download |
| 119 | Introduction to Relation | Download |
| 120 | Graphical Representation of a Relation | Download |
| 121 | Various sets | Download |
| 122 | Matrix Representation of a Relation | Download |
| 123 | Relation - An Example | Download |
| 124 | Cartesian Product | Download |
| 125 | Set Representation of a Relation | Download |
| 126 | Revisiting Representations of a Relation | Download |
| 127 | Examples of Relations | Download |
| 128 | Number of relations - Part 1 | Download |
| 129 | Number of relations - Part 2 | Download |
| 130 | Reflexive relation - Introduction | Download |
| 131 | Example of a Reflexive relation | Download |
| 132 | Reflexive relation - Matrix representation | Download |
| 133 | Number of Reflexive relations | Download |
| 134 | Symmetric Relation - Introduction | Download |
| 135 | Symmetric Relation - Matrix representation | Download |
| 136 | Symmetric Relation - Examples and non examples | Download |
| 137 | Parallel lines revisited | Download |
| 138 | Number of symmetric relations - Part 1 | Download |
| 139 | Number of symmetric relations - Part 2 | Download |
| 140 | Examples of Reflexive and Symmetric Relations | Download |
| 141 | Pattern | Download |
| 142 | Transitive relation - Examples and non examples | Download |
| 143 | Antisymmetric relation | Download |
| 144 | Examples of Transitive and Antisymmetric Relation | Download |
| 145 | Antisymmetric - Graphical representation | Download |
| 146 | Antisymmetric - Matrix representation | Download |
| 147 | Number of Antisymmetric relations | Download |
| 148 | Condition for relation to be reflexive | Download |
| 149 | Few notations | Download |
| 150 | Condition for relation to be reflexive. | Download |
| 151 | Condition for relation to be reflexive.. | Download |
| 152 | Condition for relation to be symmetric | Download |
| 153 | Condition for relation to be symmetric. | Download |
| 154 | Condition for relation to be antisymmetric | Download |
| 155 | Equivalence relation | Download |
| 156 | Equivalence relation - Example 4 | Download |
| 157 | Partition - Part 1 | Download |
| 158 | Partition - Part 2 | Download |
| 159 | Partition - Part 3 | Download |
| 160 | Partition - Part 4 | Download |
| 161 | Partition - Part 5 | Download |
| 162 | Partition - Part 5. | Download |
| 163 | Motivational Example - 1 | Download |
| 164 | Motivational Example - 2 | Download |
| 165 | Commonality in examples | Download |
| 166 | Motivational Example - 3 | Download |
| 167 | Example - 4 Explanation | Download |
| 168 | Introduction to functions | Download |
| 169 | Defintion of a function - Part 1 | Download |
| 170 | Defintion of a function - Part 2 | Download |
| 171 | Defintion of a function - Part 3 | Download |
| 172 | Relations vs Functions - Part 1 | Download |
| 173 | Relations vs Functions - Part 2 | Download |
| 174 | Introduction to One-One Function | Download |
| 175 | One-One Function - Example 1 | Download |
| 176 | One-One Function - Example 2 | Download |
| 177 | One-One Function - Example 3 | Download |
| 178 | Proving a Function is One-One | Download |
| 179 | Examples and Non- examples of One-One function | Download |
| 180 | Cardinality condition in One-One function - Part 1 | Download |
| 181 | Cardinality condition in One-One function - Part 2 | Download |
| 182 | Introduction to Onto Function - Part 1 | Download |
| 183 | Introduction to Onto Function - Part 2 | Download |
| 184 | Definition of Onto Function | Download |
| 185 | Examples of Onto Function | Download |
| 186 | Cardinality condition in Onto function - Part 1 | Download |
| 187 | Cardinality condition in Onto function - Part 2 | Download |
| 188 | Introduction to Bijection | Download |
| 189 | Examples of Bijection | Download |
| 190 | Cardinality condition in Bijection - Part 1 | Download |
| 191 | Cardinality condition in Bijection - Part 2 | Download |
| 192 | Counting number of functions | Download |
| 193 | Number of functions | Download |
| 194 | Number of One-One functions - Part 1 | Download |
| 195 | Number of One-One functions - Part 2 | Download |
| 196 | Number of One-One functions - Part 3 | Download |
| 197 | Number of Onto functions | Download |
| 198 | Number of Bijections | Download |
| 199 | Counting number of functions. | Download |
| 200 | Motivation for Composition of functions - Part 1 | Download |
| 201 | Motivation for Composition of functions - Part 2 | Download |
| 202 | Definition of Composition of functions | Download |
| 203 | Why study Composition of functions | Download |
| 204 | Example of Composition of functions - Part 1 | Download |
| 205 | Example of Composition of functions - Part 2 | Download |
| 206 | Motivation for Inverse functions | Download |
| 207 | Inverse functions | Download |
| 208 | Examples of Inverse functions | Download |
| 209 | Application of inverse functions - Part 1 | Download |
| 210 | Three stories | Download |
| 211 | Three stories - Connecting the dots | Download |
| 212 | Mathematical induction - An illustration | Download |
| 213 | Mathematical Induction - Its essence | Download |
| 214 | Mathematical Induction - The formal way | Download |
| 215 | MI - Sum of odd numbers | Download |
| 216 | MI - Sum of powers of 2 | Download |
| 217 | MI - Inequality 1 | Download |
| 218 | MI - Inequality 1 (solution) | Download |
| 219 | MI - To prove divisibility | Download |
| 220 | MI - To prove divisibility (solution) | Download |
| 221 | MI - Problem on satisfying inequalities | Download |
| 222 | MI - Problem on satisfying inequalities (solutions) | Download |
| 223 | MI - Inequality 2 | Download |
| 224 | MI - Inequality 2 solution | Download |
| 225 | Mathematical Induction - Example 9 | Download |
| 226 | Mathematical Induction - Example 10 solution | Download |
| 227 | Binomial Coeffecients - Proof by induction | Download |
| 228 | Checker board and Triomioes - A puzzle | Download |
| 229 | Checker board and triominoes - Solution | Download |
| 230 | Mathematical induction - An important note | Download |
| 231 | Mathematical Induction - A false proof | Download |
| 232 | A false proof - Solution | Download |
| 233 | Motivation for Pegionhole Principle | Download |
| 234 | Group of n people | Download |
| 235 | Set of n integgers | Download |
| 236 | 10 points on an equilateral triangle | Download |
| 237 | Pegionhole Principle - A result | Download |
| 238 | Consecutive integers | Download |
| 239 | Consecutive integers solution | Download |
| 240 | Matching initials | Download |
| 241 | Matching initials - Solution | Download |
| 242 | Numbers adding to 9 | Download |
| 243 | Numbers adding to 9 - Solution | Download |
| 244 | Deck of cards | Download |
| 245 | Deck of cards - Solution | Download |
| 246 | Number of errors | Download |
| 247 | Number of errors - Solution | Download |
| 248 | Puzzle - Challenge for you | Download |
| 249 | Friendship - an interesting property | Download |
| 250 | Connectedness through Connecting people | Download |
| 251 | Traversing the bridges | Download |
| 252 | Three utilities problem | Download |
| 253 | Coloring the India map | Download |
| 254 | Defintion of a Graph | Download |
| 255 | Degree and degree sequence | Download |
| 256 | Relation between number of edges and degrees | Download |
| 257 | Relation between number of edges and degrees - Proof | Download |
| 258 | Hand shaking lemma - Corollary | Download |
| 259 | Problems based on Hand shaking lemma | Download |
| 260 | Havel Hakimi theorem - Part 1 | Download |
| 261 | Havel Hakimi theorem - Part 2 | Download |
| 262 | Havel Hakimi theorem - Part 3 | Download |
| 263 | Havel Hakimi theorem - Part 4 | Download |
| 264 | Havel Hakimi theorem - Part 5 | Download |
| 265 | Regular graph and irregular graph | Download |
| 266 | Walk | Download |
| 267 | Trail | Download |
| 268 | Path and closed path | Download |
| 269 | Definitions revisited | Download |
| 270 | Examples of walk, trail and path | Download |
| 271 | Cycle and circuit | Download |
| 272 | Example of cycle and circuit | Download |
| 273 | Relation between walk and path | Download |
| 274 | Relation between walk and path - An induction proof | Download |
| 275 | Subgraph | Download |
| 276 | Spanning and induced subgraph | Download |
| 277 | Spanning and induced subgraph - A result | Download |
| 278 | Introduction to Tree | Download |
| 279 | Connected and Disconnected graphs | Download |
| 280 | Property of a cycle | Download |
| 281 | Edge condition for connectivity | Download |
| 282 | Connecting connectedness and path | Download |
| 283 | Connecting connectedness and path - An illustration | Download |
| 284 | Cut vertex | Download |
| 285 | Cut edge | Download |
| 286 | Illustration of cut vertices and cut edges | Download |
| 287 | NetworkX - Need of the hour | Download |
| 288 | Introduction to Python - Installation | Download |
| 289 | Introduction to Python - Basics | Download |
| 290 | Introduction to NetworkX | Download |
| 291 | Story so far - Using NetworkX | Download |
| 292 | Directed, weighted and multi graphs | Download |
| 293 | Illustration of Directed, weighted and multi graphs | Download |
| 294 | Graph representations - Introduction | Download |
| 295 | Adjacency matrix representation | Download |
| 296 | Incidence matrix representation | Download |
| 297 | Isomorphism - Introduction | Download |
| 298 | Isomorphic graphs - An illustration | Download |
| 299 | Isomorphic graphs - A challenge | Download |
| 300 | Non - isomorphic graphs | Download |
| 301 | Isomorphism - A question | Download |
| 302 | Complement of a Graph - Introduction | Download |
| 303 | Complement of a Graph - Illiustration | Download |
| 304 | Self complement | Download |
| 305 | Complement of a disconnected graph is connected | Download |
| 306 | Complement of a disconnected graph is connected - Solution | Download |
| 307 | Which is more? Connected graphs or disconnected graphs? | Download |
| 308 | Bipartite graphs | Download |
| 309 | Bipartite graphs - A puzzle | Download |
| 310 | Bipartite graphs - Converse part of the puzzle | Download |
| 311 | Definition of Eulerian Graph | Download |
| 312 | Illustration of eulerian graph | Download |
| 313 | Non- example of Eulerian graph | Download |
| 314 | Litmus test for an Eulerian graph | Download |
| 315 | Why even degree? | Download |
| 316 | Proof for even degree implies graph is eulerian | Download |
| 317 | A condition for Eulerian trail | Download |
| 318 | Why the name Eulerian | Download |
| 319 | Can you traverse all location? | Download |
| 320 | Defintion of Hamiltonian graphs | Download |
| 321 | Examples of Hamiltonian graphs | Download |
| 322 | Hamiltonian graph - A result | Download |
| 323 | A result on connectedness | Download |
| 324 | A result on Path | Download |
| 325 | Dirac's Theorem | Download |
| 326 | Dirac's theorem - A note | Download |
| 327 | Ore's Theorem | Download |
| 328 | Dirac's Theorem v/s Ore's Theorem | Download |
| 329 | Eulerian and Hamiltonian Are they related | Download |
| 330 | Importance of Hamiltonian graphs in Computer science | Download |
| 331 | Constructing non intersecting roads | Download |
| 332 | Definition of a Planar graph | Download |
| 333 | Examples of Planar graphs | Download |
| 334 | V - E + R = 2 | Download |
| 335 | Illustration of V - E + R =2 | Download |
| 336 | V - E + R = 2; Use induction | Download |
| 337 | Proof of V - E + R = 2 | Download |
| 338 | Famous non-planar graphs | Download |
| 339 | Litmus test for planarity | Download |
| 340 | Planar graphs - Inequality 1 | Download |
| 341 | 3 Utilities problem - Revisited | Download |
| 342 | Complete graph on 5 vertices is non-planar - Proof | Download |
| 343 | Prisoners and cells | Download |
| 344 | Prisoners example and Proper coloring | Download |
| 345 | Chromatic number of a graph | Download |
| 346 | Examples on Proper coloring | Download |
| 347 | Recalling the India map problem | Download |
| 348 | Recalling the India map problem - Solution | Download |
| 349 | NetworkX - Digraphs | Download |
| 350 | NetworkX - Adjacency matrix | Download |
| 351 | NetworkX- Random graphs | Download |
| 352 | NetworkX - Subgarph | Download |
| 353 | NetworkX - Isomorphic graphs Part 1 | Download |
| 354 | NetworkX - Isomorphic graphs Part 2 | Download |
| 355 | NetworkX - Isomorphic graphs: A game to play | Download |
| 356 | NetworkX - Graph complement | Download |
| 357 | NetworkX - Eulerian graphs | Download |
| 358 | NetworkX - Bipaprtite graphs | Download |
| 359 | NetworkX - Coloring | Download |
| 360 | Counting in a creative way | Download |
| 361 | Example 1 - Fun with words | Download |
| 362 | Words and the polynomial | Download |
| 363 | Words and the polynomial - Explained | Download |
| 364 | Example 2 - Picking five balls | Download |
| 365 | Picking five balls - Solution | Download |
| 366 | Picking five balls - Another version | Download |
| 367 | Defintion of Generating function | Download |
| 368 | Generating function examples - Part 1 | Download |
| 369 | Generating function examples - Part 2 | Download |
| 370 | Generating function examples - Part 3 | Download |
| 371 | Binomial expansion - A generating function | Download |
| 372 | Binomial expansion - Explained | Download |
| 373 | Picking 7 balls - The naive way | Download |
| 374 | Picking 7 balls - The creative way | Download |
| 375 | Generating functions - Problem 1 | Download |
| 376 | Generating functions - Problem 2 | Download |
| 377 | Generating functions - Problem 3 | Download |
| 378 | Why Generating function? | Download |
| 379 | Introduction to Advanced Counting | Download |
| 380 | Example 1 : Dogs and Cats | Download |
| 381 | Inclusion-Exclusion Formula | Download |
| 382 | Proof of Inclusion - Exlusion formula | Download |
| 383 | Example 2 : Integer solutions of an equation | Download |
| 384 | Example 3 : Words not containing some strings | Download |
| 385 | Example 4 : Arranging 3 x's, 3 y's and 3 z's | Download |
| 386 | Example 5 : Non-multiples of 2 or 3 | Download |
| 387 | Example 6 : Integers not divisible by 5, 7 or 11 | Download |
| 388 | A tip in solving problems | Download |
| 389 | Example 7 : A dog nor a cat | Download |
| 390 | Example 8 : Brownies, Muffins and Cookies | Download |
| 391 | Example 10 : Integer solutions of an equation | Download |
| 392 | Example 11 : Seating Arrangement - Part 1 | Download |
| 393 | Example 11 : Seating Arrangement - Part 2 | Download |
| 394 | Example 12 : Integer solutions of an equation | Download |
| 395 | Number of Onto Functions. | Download |
| 396 | Formula for Number of Onto Functions | Download |
| 397 | Example 13 : Onto Functions | Download |
| 398 | Example 14 : No one in their own house | Download |
| 399 | Derangements | Download |
| 400 | Derangements of 4 numbers | Download |
| 401 | Example 15 : Bottles and caps | Download |
| 402 | Example 16 : Self grading | Download |
| 403 | Example 17 : Even integers and their places | Download |
| 404 | Example 18 : Finding total number of items | Download |
| 405 | Example 19 : Devising a secret code | Download |
| 406 | Placing rooks on the chessboard | Download |
| 407 | Rook Polynomial | Download |
| 408 | Rook Polynomial. | Download |
| 409 | Motivation for recurrence relation | Download |
| 410 | Getting started with recurrence relations | Download |
| 411 | What is a recurrence relation? | Download |
| 412 | Compound Interest as a recurrence relation | Download |
| 413 | Examples of recurrence relations | Download |
| 414 | Example - Number of ways of climbing steps | Download |
| 415 | Number of ways of climbing steps: Recurrence relation | Download |
| 416 | Example - Rabbits on an island | Download |
| 417 | Example - n-bit string | Download |
| 418 | Example - n-bit string without consecutive zero | Download |
| 419 | Solving Linear Recurrence Relations - A theorem | Download |
| 420 | A note on the proof | Download |
| 421 | Soving recurrence relation - Example 1 | Download |
| 422 | Soving recurrence relation - Example 2 | Download |
| 423 | Fibonacci Sequence | Download |
| 424 | Introduction to Fibonacci sequence | Download |
| 425 | Solution of Fibbonacci sequence | Download |
| 426 | A basic introduction to 'complexity' | Download |
| 427 | Intuition for 'complexity' | Download |
| 428 | Visualizing complexity order as a graph | Download |
| 429 | Tower of Hanoi | Download |
| 430 | Reccurence relation of Tower of Hanoi | Download |
| 431 | Solution for the recurrence relation of Tower of Hanoi | Download |
| 432 | A searching technique | Download |
| 433 | Recurrence relation for Binary search | Download |
| 434 | Solution for the recurrence relation of Binary search | Download |
| 435 | Example: Door knocks example | Download |
| 436 | Example: Door knocks example solution | Download |
| 437 | Door knock example and Merge sort | Download |
| 438 | Introduction to Merge sort - 1 | Download |
| 439 | Recurrence relation for Merge sort | Download |
| 440 | Intoduction to advanced topics | Download |
| 441 | Introduction to Chromatic polynomial | Download |
| 442 | Chromatic polynomial of complete graphs | Download |
| 443 | Chromatic polynomial of cycle on 4 vertices - Part 1 | Download |
| 444 | Chromatic polynomial of cycle on 4 vertices - Part 2 | Download |
| 445 | Correspondence between partition and generating functions | Download |
| 446 | Correspondence between partition and generating functions: In general | Download |
| 447 | Distinct partitions and odd partitions | Download |
| 448 | Distinct partitions and generating functions | Download |
| 449 | Odd partitions and generating functions | Download |
| 450 | Distinct partitions equals odd partitions: Observation | Download |
| 451 | Distinct partitions equals odd partitions: Proof | Download |
| 452 | Why 'partitions' to 'polynomial'? | Download |
| 453 | Example: Picking 4 letters from the word 'INDIAN' | Download |
| 454 | Motivation for exponential generating function | Download |
| 455 | Recurrrence relation: The theorem and its proof | Download |
| 456 | Introduction to Group Theory | Download |
| 457 | Uniqueness of the identity element | Download |
| 458 | Formal definition of a Group | Download |
| 459 | Groups: Examples and non-examples | Download |
| 460 | Groups: Special Examples Part 1 | Download |
| 461 | Groups: Special Examples Part 2 | Download |
| 462 | Subgroup: Defintion and examples | Download |
| 463 | Lagrange's theorem | Download |
| 464 | Summary. | Download |
| 465 | Conclusion. | Download |
| Sl.No | Chapter Name | English |
|---|---|---|
| 1 | Motivation for Counting | Download Verified |
| 2 | Paper Folding Example | Download Verified |
| 3 | Rubik's Cube Example | Download Verified |
| 4 | Factorial Example | Download Verified |
| 5 | Counting in Computer Science | Download Verified |
| 6 | Motivation for Catalan numbers | Download Verified |
| 7 | Rule of Sum and Rule of Product | Download Verified |
| 8 | Problems on Rule of Sum and Rule of Product | Download Verified |
| 9 | Factorial Explained | Download Verified |
| 10 | Proof of n! - Part 1 | Download Verified |
| 11 | Proof of n! - Part 2 | Download Verified |
| 12 | Astronomical Numbers | Download Verified |
| 13 | Permutations - Part 1 | Download Verified |
| 14 | Permutations - Part 2 | Download Verified |
| 15 | Permutations - Part 3 | Download Verified |
| 16 | Permutations - Part 4 | Download Verified |
| 17 | Problems on Permutations | Download Verified |
| 18 | Combinations - Part 1 | Download Verified |
| 19 | Combinations - Part 2 | Download Verified |
| 20 | Combinations - Part 3 | Download Verified |
| 21 | Combinations - Part 4 | Download Verified |
| 22 | Problems on Combinations | Download Verified |
| 23 | Difference between Permuations and Combinations | Download Verified |
| 24 | Combination with Repetition - Part 1 | Download Verified |
| 25 | Combination with Repetition - Part 2 | Download Verified |
| 26 | Combination with Repetition - Problems | Download Verified |
| 27 | Binomial theorem | Download Verified |
| 28 | Applications of Binomial theorem | Download Verified |
| 29 | Properties of Binomial theorem | Download Verified |
| 30 | Multinomial theorem | Download Verified |
| 31 | Problems on Binomial theorem | Download Verified |
| 32 | Pascal's Triangle | Download Verified |
| 33 | Fun facts on Pascal's Triangle | Download Verified |
| 34 | Catalan Numbers - Part 1 | Download Verified |
| 35 | Catalan Numbers - Part 2 | Download Verified |
| 36 | Catalan Numbers - Part 3 | Download Verified |
| 37 | Catalan Numbers - Part 4 | Download Verified |
| 38 | Examples of Catalan numbers | Download Verified |
| 39 | Chapter Summary | Download Verified |
| 40 | Introduction to Set Theory | Download Verified |
| 41 | Example, definiton and notation | Download Verified |
| 42 | Sets - Problems Part 1 | Download Verified |
| 43 | Subsets - Part 1 | Download Verified |
| 44 | Subsets - Part 2 | Download Verified |
| 45 | Subsets - Part 3 | Download Verified |
| 46 | Union and intersections of sets | Download Verified |
| 47 | Union and intersections of sets - Part 1 | Download Verified |
| 48 | Union and intersections of sets - Part 2 | Download Verified |
| 49 | Union and intersections of sets - Part 3 | Download Verified |
| 50 | Cardinality of Union of two sets - Part 1 | Download Verified |
| 51 | Cardinality of Union of sets - Part 2 | Download Verified |
| 52 | Cardinality of Union of three sets | Download Verified |
| 53 | Power Set - Part 1 | Download Verified |
| 54 | Power set - Part 2 | Download Verified |
| 55 | Power set - Part 3 | Download Verified |
| 56 | Connection betwenn Binomial Theorem and Power Sets | Download Verified |
| 57 | Power set - Problems | Download Verified |
| 58 | Complement of a set | Download Verified |
| 59 | De Morgan's Laws - Part 1 | Download Verified |
| 60 | De Morgan's Laws - Part 2 | Download Verified |
| 61 | A proof technique | Download Verified |
| 62 | De Morgan's Laws - Part 3 | Download Verified |
| 63 | De Morgan's Laws - Part 4 | Download Verified |
| 64 | Set difference - Part 1 | Download Verified |
| 65 | Set difference - Part 2 | Download Verified |
| 66 | Symmetric difference | Download Verified |
| 67 | History | Download Verified |
| 68 | Summary | Download Verified |
| 69 | Motivational example | Download Verified |
| 70 | Introduction to Statements | Download Verified |
| 71 | Examples and Non-examples of Statements | Download Verified |
| 72 | Introduction to Negation | Download Verified |
| 73 | Negation - Explanation | Download Verified |
| 74 | Negation - Truthtable | Download Verified |
| 75 | Examples for Negation | Download Verified |
| 76 | Motivation for OR operator | Download Verified |
| 77 | Introduction to OR operator | Download Verified |
| 78 | Truthtable for OR operator | Download Verified |
| 79 | OR operator for 3 Variables | Download Verified |
| 80 | Truthtable for AND operator | Download Verified |
| 81 | AND operator for 3 Variables | Download Verified |
| 82 | Primitive and Compound statements - Part 1 | Download Verified |
| 83 | Primitive and Compound statements - Part 2 | Download Verified |
| 84 | Problems involoving NOT, OR and AND operators | Download Verified |
| 85 | Introduction to implication | Download Verified |
| 86 | Examples and Non-examples of Implication - Part 1 | Download Verified |
| 87 | Examples and Non-examples of Implication - Part 2 | Download Verified |
| 88 | Explanation of Implication | Download Verified |
| 89 | Introduction to Double Implication | Download Verified |
| 90 | Explanation of Double Implication | Download Verified |
| 91 | Converse, Inverse and Contrapositive | Download Verified |
| 92 | XOR operator - Part 1 | Download Verified |
| 93 | XOR operator - Part 2 | Download Verified |
| 94 | XOR operator - Part 3 | Download Verified |
| 95 | Problems | Download Verified |
| 96 | Tautology, Contradiction - Part 1 | Download Verified |
| 97 | Tautology, Contradiction - Part 2 | Download Verified |
| 98 | Tautology, Contradiction - Part 3 | Download Verified |
| 99 | SAT Problem - Part 1 | Download Verified |
| 100 | SAT Problem - Part 2 | Download Verified |
| 101 | Logical Equivalence - Part 1 | Download Verified |
| 102 | Logical Equivalence - Part 2 | Download Verified |
| 103 | Logical Equivalence - Part 3 | Download Verified |
| 104 | Logical Equivalence - Part 4 | Download Verified |
| 105 | Motivation for laws of logic | Download Verified |
| 106 | Double negation - Part 1 | Download Verified |
| 107 | Double negation - Part 2 | Download Verified |
| 108 | Laws of Logic | Download Verified |
| 109 | De Morgan's Law - Part 1 | Download Verified |
| 110 | De Morgan's Law - Part 2 | Download Verified |
| 111 | Rules of Inferences - Part 1 | Download Verified |
| 112 | Rules of Inferences - Part 2 | Download Verified |
| 113 | Rules of Inferences - Part 3 | Download Verified |
| 114 | Rules of Inferences - Part 4 | Download Verified |
| 115 | Rules of Inferences - Part 5 | Download Verified |
| 116 | Rules of Inferences - Part 6 | Download Verified |
| 117 | Rules of Inferences - Part 7 | Download Verified |
| 118 | Conclusion | Download Verified |
| 119 | Introduction to Relation | Download Verified |
| 120 | Graphical Representation of a Relation | Download Verified |
| 121 | Various sets | Download Verified |
| 122 | Matrix Representation of a Relation | Download Verified |
| 123 | Relation - An Example | Download Verified |
| 124 | Cartesian Product | Download Verified |
| 125 | Set Representation of a Relation | Download Verified |
| 126 | Revisiting Representations of a Relation | Download Verified |
| 127 | Examples of Relations | Download Verified |
| 128 | Number of relations - Part 1 | Download Verified |
| 129 | Number of relations - Part 2 | Download Verified |
| 130 | Reflexive relation - Introduction | Download Verified |
| 131 | Example of a Reflexive relation | Download Verified |
| 132 | Reflexive relation - Matrix representation | Download Verified |
| 133 | Number of Reflexive relations | Download Verified |
| 134 | Symmetric Relation - Introduction | Download Verified |
| 135 | Symmetric Relation - Matrix representation | Download Verified |
| 136 | Symmetric Relation - Examples and non examples | Download Verified |
| 137 | Parallel lines revisited | Download Verified |
| 138 | Number of symmetric relations - Part 1 | Download Verified |
| 139 | Number of symmetric relations - Part 2 | Download Verified |
| 140 | Examples of Reflexive and Symmetric Relations | Download Verified |
| 141 | Pattern | Download Verified |
| 142 | Transitive relation - Examples and non examples | Download Verified |
| 143 | Antisymmetric relation | Download Verified |
| 144 | Examples of Transitive and Antisymmetric Relation | Download Verified |
| 145 | Antisymmetric - Graphical representation | Download Verified |
| 146 | Antisymmetric - Matrix representation | Download Verified |
| 147 | Number of Antisymmetric relations | Download Verified |
| 148 | Condition for relation to be reflexive | Download Verified |
| 149 | Few notations | Download Verified |
| 150 | Condition for relation to be reflexive. | Download Verified |
| 151 | Condition for relation to be reflexive.. | Download Verified |
| 152 | Condition for relation to be symmetric | Download Verified |
| 153 | Condition for relation to be symmetric. | Download Verified |
| 154 | Condition for relation to be antisymmetric | Download Verified |
| 155 | Equivalence relation | Download Verified |
| 156 | Equivalence relation - Example 4 | Download Verified |
| 157 | Partition - Part 1 | Download Verified |
| 158 | Partition - Part 2 | Download Verified |
| 159 | Partition - Part 3 | Download Verified |
| 160 | Partition - Part 4 | Download Verified |
| 161 | Partition - Part 5 | Download Verified |
| 162 | Partition - Part 5. | Download Verified |
| 163 | Motivational Example - 1 | Download Verified |
| 164 | Motivational Example - 2 | Download Verified |
| 165 | Commonality in examples | Download Verified |
| 166 | Motivational Example - 3 | Download Verified |
| 167 | Example - 4 Explanation | Download Verified |
| 168 | Introduction to functions | Download Verified |
| 169 | Defintion of a function - Part 1 | Download Verified |
| 170 | Defintion of a function - Part 2 | Download Verified |
| 171 | Defintion of a function - Part 3 | Download Verified |
| 172 | Relations vs Functions - Part 1 | Download Verified |
| 173 | Relations vs Functions - Part 2 | Download Verified |
| 174 | Introduction to One-One Function | Download Verified |
| 175 | One-One Function - Example 1 | Download Verified |
| 176 | One-One Function - Example 2 | Download Verified |
| 177 | One-One Function - Example 3 | Download Verified |
| 178 | Proving a Function is One-One | Download Verified |
| 179 | Examples and Non- examples of One-One function | Download Verified |
| 180 | Cardinality condition in One-One function - Part 1 | Download Verified |
| 181 | Cardinality condition in One-One function - Part 2 | Download Verified |
| 182 | Introduction to Onto Function - Part 1 | Download Verified |
| 183 | Introduction to Onto Function - Part 2 | Download Verified |
| 184 | Definition of Onto Function | Download Verified |
| 185 | Examples of Onto Function | Download Verified |
| 186 | Cardinality condition in Onto function - Part 1 | Download Verified |
| 187 | Cardinality condition in Onto function - Part 2 | Download Verified |
| 188 | Introduction to Bijection | Download Verified |
| 189 | Examples of Bijection | Download Verified |
| 190 | Cardinality condition in Bijection - Part 1 | Download Verified |
| 191 | Cardinality condition in Bijection - Part 2 | Download Verified |
| 192 | Counting number of functions | Download Verified |
| 193 | Number of functions | Download Verified |
| 194 | Number of One-One functions - Part 1 | Download Verified |
| 195 | Number of One-One functions - Part 2 | Download Verified |
| 196 | Number of One-One functions - Part 3 | Download Verified |
| 197 | Number of Onto functions | Download Verified |
| 198 | Number of Bijections | Download Verified |
| 199 | Counting number of functions. | Download Verified |
| 200 | Motivation for Composition of functions - Part 1 | Download Verified |
| 201 | Motivation for Composition of functions - Part 2 | Download Verified |
| 202 | Definition of Composition of functions | Download Verified |
| 203 | Why study Composition of functions | Download Verified |
| 204 | Example of Composition of functions - Part 1 | Download Verified |
| 205 | Example of Composition of functions - Part 2 | Download Verified |
| 206 | Motivation for Inverse functions | Download Verified |
| 207 | Inverse functions | Download Verified |
| 208 | Examples of Inverse functions | Download Verified |
| 209 | Application of inverse functions - Part 1 | Download Verified |
| 210 | Three stories | Download Verified |
| 211 | Three stories - Connecting the dots | Download Verified |
| 212 | Mathematical induction - An illustration | Download Verified |
| 213 | Mathematical Induction - Its essence | Download Verified |
| 214 | Mathematical Induction - The formal way | Download Verified |
| 215 | MI - Sum of odd numbers | Download Verified |
| 216 | MI - Sum of powers of 2 | Download Verified |
| 217 | MI - Inequality 1 | Download Verified |
| 218 | MI - Inequality 1 (solution) | Download Verified |
| 219 | MI - To prove divisibility | Download Verified |
| 220 | MI - To prove divisibility (solution) | Download Verified |
| 221 | MI - Problem on satisfying inequalities | Download Verified |
| 222 | MI - Problem on satisfying inequalities (solutions) | Download Verified |
| 223 | MI - Inequality 2 | Download Verified |
| 224 | MI - Inequality 2 solution | Download Verified |
| 225 | Mathematical Induction - Example 9 | Download Verified |
| 226 | Mathematical Induction - Example 10 solution | Download Verified |
| 227 | Binomial Coeffecients - Proof by induction | Download Verified |
| 228 | Checker board and Triomioes - A puzzle | Download Verified |
| 229 | Checker board and triominoes - Solution | Download Verified |
| 230 | Mathematical induction - An important note | Download Verified |
| 231 | Mathematical Induction - A false proof | Download Verified |
| 232 | A false proof - Solution | Download Verified |
| 233 | Motivation for Pegionhole Principle | Download Verified |
| 234 | Group of n people | Download Verified |
| 235 | Set of n integgers | Download Verified |
| 236 | 10 points on an equilateral triangle | Download Verified |
| 237 | Pegionhole Principle - A result | Download Verified |
| 238 | Consecutive integers | Download Verified |
| 239 | Consecutive integers solution | Download Verified |
| 240 | Matching initials | Download Verified |
| 241 | Matching initials - Solution | Download Verified |
| 242 | Numbers adding to 9 | Download Verified |
| 243 | Numbers adding to 9 - Solution | Download Verified |
| 244 | Deck of cards | Download Verified |
| 245 | Deck of cards - Solution | Download Verified |
| 246 | Number of errors | Download Verified |
| 247 | Number of errors - Solution | Download Verified |
| 248 | Puzzle - Challenge for you | Download Verified |
| 249 | Friendship - an interesting property | Download Verified |
| 250 | Connectedness through Connecting people | Download Verified |
| 251 | Traversing the bridges | Download Verified |
| 252 | Three utilities problem | Download Verified |
| 253 | Coloring the India map | Download Verified |
| 254 | Defintion of a Graph | Download Verified |
| 255 | Degree and degree sequence | Download Verified |
| 256 | Relation between number of edges and degrees | Download Verified |
| 257 | Relation between number of edges and degrees - Proof | Download Verified |
| 258 | Hand shaking lemma - Corollary | Download Verified |
| 259 | Problems based on Hand shaking lemma | Download Verified |
| 260 | Havel Hakimi theorem - Part 1 | Download Verified |
| 261 | Havel Hakimi theorem - Part 2 | Download Verified |
| 262 | Havel Hakimi theorem - Part 3 | Download Verified |
| 263 | Havel Hakimi theorem - Part 4 | Download Verified |
| 264 | Havel Hakimi theorem - Part 5 | Download Verified |
| 265 | Regular graph and irregular graph | Download Verified |
| 266 | Walk | Download Verified |
| 267 | Trail | Download Verified |
| 268 | Path and closed path | Download Verified |
| 269 | Definitions revisited | Download Verified |
| 270 | Examples of walk, trail and path | Download Verified |
| 271 | Cycle and circuit | PDF unavailable |
| 272 | Example of cycle and circuit | PDF unavailable |
| 273 | Relation between walk and path | PDF unavailable |
| 274 | Relation between walk and path - An induction proof | PDF unavailable |
| 275 | Subgraph | PDF unavailable |
| 276 | Spanning and induced subgraph | PDF unavailable |
| 277 | Spanning and induced subgraph - A result | PDF unavailable |
| 278 | Introduction to Tree | PDF unavailable |
| 279 | Connected and Disconnected graphs | PDF unavailable |
| 280 | Property of a cycle | PDF unavailable |
| 281 | Edge condition for connectivity | PDF unavailable |
| 282 | Connecting connectedness and path | PDF unavailable |
| 283 | Connecting connectedness and path - An illustration | PDF unavailable |
| 284 | Cut vertex | PDF unavailable |
| 285 | Cut edge | PDF unavailable |
| 286 | Illustration of cut vertices and cut edges | PDF unavailable |
| 287 | NetworkX - Need of the hour | PDF unavailable |
| 288 | Introduction to Python - Installation | PDF unavailable |
| 289 | Introduction to Python - Basics | PDF unavailable |
| 290 | Introduction to NetworkX | PDF unavailable |
| 291 | Story so far - Using NetworkX | PDF unavailable |
| 292 | Directed, weighted and multi graphs | PDF unavailable |
| 293 | Illustration of Directed, weighted and multi graphs | PDF unavailable |
| 294 | Graph representations - Introduction | PDF unavailable |
| 295 | Adjacency matrix representation | PDF unavailable |
| 296 | Incidence matrix representation | PDF unavailable |
| 297 | Isomorphism - Introduction | PDF unavailable |
| 298 | Isomorphic graphs - An illustration | PDF unavailable |
| 299 | Isomorphic graphs - A challenge | PDF unavailable |
| 300 | Non - isomorphic graphs | PDF unavailable |
| 301 | Isomorphism - A question | PDF unavailable |
| 302 | Complement of a Graph - Introduction | PDF unavailable |
| 303 | Complement of a Graph - Illiustration | PDF unavailable |
| 304 | Self complement | PDF unavailable |
| 305 | Complement of a disconnected graph is connected | PDF unavailable |
| 306 | Complement of a disconnected graph is connected - Solution | PDF unavailable |
| 307 | Which is more? Connected graphs or disconnected graphs? | PDF unavailable |
| 308 | Bipartite graphs | PDF unavailable |
| 309 | Bipartite graphs - A puzzle | PDF unavailable |
| 310 | Bipartite graphs - Converse part of the puzzle | PDF unavailable |
| 311 | Definition of Eulerian Graph | PDF unavailable |
| 312 | Illustration of eulerian graph | PDF unavailable |
| 313 | Non- example of Eulerian graph | PDF unavailable |
| 314 | Litmus test for an Eulerian graph | PDF unavailable |
| 315 | Why even degree? | PDF unavailable |
| 316 | Proof for even degree implies graph is eulerian | PDF unavailable |
| 317 | A condition for Eulerian trail | PDF unavailable |
| 318 | Why the name Eulerian | PDF unavailable |
| 319 | Can you traverse all location? | PDF unavailable |
| 320 | Defintion of Hamiltonian graphs | PDF unavailable |
| 321 | Examples of Hamiltonian graphs | PDF unavailable |
| 322 | Hamiltonian graph - A result | PDF unavailable |
| 323 | A result on connectedness | PDF unavailable |
| 324 | A result on Path | PDF unavailable |
| 325 | Dirac's Theorem | PDF unavailable |
| 326 | Dirac's theorem - A note | PDF unavailable |
| 327 | Ore's Theorem | PDF unavailable |
| 328 | Dirac's Theorem v/s Ore's Theorem | PDF unavailable |
| 329 | Eulerian and Hamiltonian Are they related | PDF unavailable |
| 330 | Importance of Hamiltonian graphs in Computer science | PDF unavailable |
| 331 | Constructing non intersecting roads | PDF unavailable |
| 332 | Definition of a Planar graph | PDF unavailable |
| 333 | Examples of Planar graphs | PDF unavailable |
| 334 | V - E + R = 2 | PDF unavailable |
| 335 | Illustration of V - E + R =2 | PDF unavailable |
| 336 | V - E + R = 2; Use induction | PDF unavailable |
| 337 | Proof of V - E + R = 2 | PDF unavailable |
| 338 | Famous non-planar graphs | PDF unavailable |
| 339 | Litmus test for planarity | PDF unavailable |
| 340 | Planar graphs - Inequality 1 | PDF unavailable |
| 341 | 3 Utilities problem - Revisited | PDF unavailable |
| 342 | Complete graph on 5 vertices is non-planar - Proof | PDF unavailable |
| 343 | Prisoners and cells | PDF unavailable |
| 344 | Prisoners example and Proper coloring | PDF unavailable |
| 345 | Chromatic number of a graph | PDF unavailable |
| 346 | Examples on Proper coloring | PDF unavailable |
| 347 | Recalling the India map problem | PDF unavailable |
| 348 | Recalling the India map problem - Solution | PDF unavailable |
| 349 | NetworkX - Digraphs | PDF unavailable |
| 350 | NetworkX - Adjacency matrix | PDF unavailable |
| 351 | NetworkX- Random graphs | PDF unavailable |
| 352 | NetworkX - Subgarph | PDF unavailable |
| 353 | NetworkX - Isomorphic graphs Part 1 | PDF unavailable |
| 354 | NetworkX - Isomorphic graphs Part 2 | PDF unavailable |
| 355 | NetworkX - Isomorphic graphs: A game to play | PDF unavailable |
| 356 | NetworkX - Graph complement | PDF unavailable |
| 357 | NetworkX - Eulerian graphs | PDF unavailable |
| 358 | NetworkX - Bipaprtite graphs | PDF unavailable |
| 359 | NetworkX - Coloring | PDF unavailable |
| 360 | Counting in a creative way | PDF unavailable |
| 361 | Example 1 - Fun with words | PDF unavailable |
| 362 | Words and the polynomial | PDF unavailable |
| 363 | Words and the polynomial - Explained | PDF unavailable |
| 364 | Example 2 - Picking five balls | PDF unavailable |
| 365 | Picking five balls - Solution | PDF unavailable |
| 366 | Picking five balls - Another version | PDF unavailable |
| 367 | Defintion of Generating function | PDF unavailable |
| 368 | Generating function examples - Part 1 | PDF unavailable |
| 369 | Generating function examples - Part 2 | PDF unavailable |
| 370 | Generating function examples - Part 3 | PDF unavailable |
| 371 | Binomial expansion - A generating function | PDF unavailable |
| 372 | Binomial expansion - Explained | PDF unavailable |
| 373 | Picking 7 balls - The naive way | PDF unavailable |
| 374 | Picking 7 balls - The creative way | PDF unavailable |
| 375 | Generating functions - Problem 1 | PDF unavailable |
| 376 | Generating functions - Problem 2 | PDF unavailable |
| 377 | Generating functions - Problem 3 | PDF unavailable |
| 378 | Why Generating function? | PDF unavailable |
| 379 | Introduction to Advanced Counting | PDF unavailable |
| 380 | Example 1 : Dogs and Cats | PDF unavailable |
| 381 | Inclusion-Exclusion Formula | PDF unavailable |
| 382 | Proof of Inclusion - Exlusion formula | PDF unavailable |
| 383 | Example 2 : Integer solutions of an equation | PDF unavailable |
| 384 | Example 3 : Words not containing some strings | PDF unavailable |
| 385 | Example 4 : Arranging 3 x's, 3 y's and 3 z's | PDF unavailable |
| 386 | Example 5 : Non-multiples of 2 or 3 | PDF unavailable |
| 387 | Example 6 : Integers not divisible by 5, 7 or 11 | PDF unavailable |
| 388 | A tip in solving problems | PDF unavailable |
| 389 | Example 7 : A dog nor a cat | PDF unavailable |
| 390 | Example 8 : Brownies, Muffins and Cookies | PDF unavailable |
| 391 | Example 10 : Integer solutions of an equation | PDF unavailable |
| 392 | Example 11 : Seating Arrangement - Part 1 | PDF unavailable |
| 393 | Example 11 : Seating Arrangement - Part 2 | PDF unavailable |
| 394 | Example 12 : Integer solutions of an equation | PDF unavailable |
| 395 | Number of Onto Functions. | PDF unavailable |
| 396 | Formula for Number of Onto Functions | PDF unavailable |
| 397 | Example 13 : Onto Functions | PDF unavailable |
| 398 | Example 14 : No one in their own house | PDF unavailable |
| 399 | Derangements | PDF unavailable |
| 400 | Derangements of 4 numbers | PDF unavailable |
| 401 | Example 15 : Bottles and caps | PDF unavailable |
| 402 | Example 16 : Self grading | PDF unavailable |
| 403 | Example 17 : Even integers and their places | PDF unavailable |
| 404 | Example 18 : Finding total number of items | PDF unavailable |
| 405 | Example 19 : Devising a secret code | PDF unavailable |
| 406 | Placing rooks on the chessboard | PDF unavailable |
| 407 | Rook Polynomial | PDF unavailable |
| 408 | Rook Polynomial. | PDF unavailable |
| 409 | Motivation for recurrence relation | PDF unavailable |
| 410 | Getting started with recurrence relations | PDF unavailable |
| 411 | What is a recurrence relation? | PDF unavailable |
| 412 | Compound Interest as a recurrence relation | PDF unavailable |
| 413 | Examples of recurrence relations | PDF unavailable |
| 414 | Example - Number of ways of climbing steps | PDF unavailable |
| 415 | Number of ways of climbing steps: Recurrence relation | PDF unavailable |
| 416 | Example - Rabbits on an island | PDF unavailable |
| 417 | Example - n-bit string | PDF unavailable |
| 418 | Example - n-bit string without consecutive zero | PDF unavailable |
| 419 | Solving Linear Recurrence Relations - A theorem | PDF unavailable |
| 420 | A note on the proof | PDF unavailable |
| 421 | Soving recurrence relation - Example 1 | PDF unavailable |
| 422 | Soving recurrence relation - Example 2 | PDF unavailable |
| 423 | Fibonacci Sequence | PDF unavailable |
| 424 | Introduction to Fibonacci sequence | PDF unavailable |
| 425 | Solution of Fibbonacci sequence | PDF unavailable |
| 426 | A basic introduction to 'complexity' | PDF unavailable |
| 427 | Intuition for 'complexity' | PDF unavailable |
| 428 | Visualizing complexity order as a graph | PDF unavailable |
| 429 | Tower of Hanoi | PDF unavailable |
| 430 | Reccurence relation of Tower of Hanoi | PDF unavailable |
| 431 | Solution for the recurrence relation of Tower of Hanoi | PDF unavailable |
| 432 | A searching technique | PDF unavailable |
| 433 | Recurrence relation for Binary search | PDF unavailable |
| 434 | Solution for the recurrence relation of Binary search | PDF unavailable |
| 435 | Example: Door knocks example | PDF unavailable |
| 436 | Example: Door knocks example solution | PDF unavailable |
| 437 | Door knock example and Merge sort | PDF unavailable |
| 438 | Introduction to Merge sort - 1 | PDF unavailable |
| 439 | Recurrence relation for Merge sort | PDF unavailable |
| 440 | Intoduction to advanced topics | PDF unavailable |
| 441 | Introduction to Chromatic polynomial | PDF unavailable |
| 442 | Chromatic polynomial of complete graphs | PDF unavailable |
| 443 | Chromatic polynomial of cycle on 4 vertices - Part 1 | PDF unavailable |
| 444 | Chromatic polynomial of cycle on 4 vertices - Part 2 | PDF unavailable |
| 445 | Correspondence between partition and generating functions | PDF unavailable |
| 446 | Correspondence between partition and generating functions: In general | PDF unavailable |
| 447 | Distinct partitions and odd partitions | PDF unavailable |
| 448 | Distinct partitions and generating functions | PDF unavailable |
| 449 | Odd partitions and generating functions | PDF unavailable |
| 450 | Distinct partitions equals odd partitions: Observation | PDF unavailable |
| 451 | Distinct partitions equals odd partitions: Proof | PDF unavailable |
| 452 | Why 'partitions' to 'polynomial'? | PDF unavailable |
| 453 | Example: Picking 4 letters from the word 'INDIAN' | PDF unavailable |
| 454 | Motivation for exponential generating function | PDF unavailable |
| 455 | Recurrrence relation: The theorem and its proof | PDF unavailable |
| 456 | Introduction to Group Theory | PDF unavailable |
| 457 | Uniqueness of the identity element | PDF unavailable |
| 458 | Formal definition of a Group | PDF unavailable |
| 459 | Groups: Examples and non-examples | PDF unavailable |
| 460 | Groups: Special Examples Part 1 | PDF unavailable |
| 461 | Groups: Special Examples Part 2 | PDF unavailable |
| 462 | Subgroup: Defintion and examples | PDF unavailable |
| 463 | Lagrange's theorem | PDF unavailable |
| 464 | Summary. | PDF unavailable |
| 465 | Conclusion. | PDF unavailable |
| Sl.No | Language | Book link |
|---|---|---|
| 1 | English | Not Available |
| 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 |