Introduction | |||
What is Number Theory | 00:08:00 | ||
Basics of Number Theory | |||
Number Theory | 00:07:00 | ||
Number Sets | 00:09:00 | ||
Number Patterns | 00:10:00 | ||
Even & Odd Numbers | 00:11:00 | ||
Number Properties | 00:10:00 | ||
Proofs | 00:11:00 | ||
Number Bases | |||
Number Bases | 00:12:00 | ||
Binary Base | 00:12:00 | ||
Binary Arithmetics | 00:15:00 | ||
Hexadecimal Base | 00:13:00 | ||
Hexadecimal Arithmetics | 00:14:00 | ||
Factorials | |||
Factorial | 00:05:00 | ||
Double Factorial | 00:09:00 | ||
Super Factorial | 00:03:00 | ||
Exponential Factorial | 00:03:00 | ||
Factorion | 00:05:00 | ||
Stirling’s Formula | 00:03:00 | ||
Number of Digits | 00:03:00 | ||
Divisibility | |||
Divisibility | 00:07:00 | ||
Divisibility Rules | 00:04:00 | ||
Euclidean Division Theorem | 00:08:00 | ||
GCD & LCM | 00:11:00 | ||
Bézout’s Identity | 00:08:00 | ||
Perfect Numbers | 00:04:00 | ||
Practical Numbers | 00:05:00 | ||
Amicable Numbers | 00:04:00 | ||
Fibonacci Sequence | 00:09:00 | ||
Tribonacci Sequence | 00:05:00 | ||
Golden Ratio | 00:11:00 | ||
Primes | |||
Prime Numbers | 00:09:00 | ||
Fundamental Theorem of Arithmetics (FTA) | 00:10:00 | ||
Almost Primes | 00:07:00 | ||
Prime Powers | 00:02:00 | ||
Factorial Prime | 00:03:00 | ||
Euclid’s Theorems | 00:09:00 | ||
The Prime Number Theorem | 00:04:00 | ||
Unsolved Problems | 00:06:00 | ||
Number Empire | 00:07:00 | ||
Modular Arithmetic | |||
Modular Arithmetics | 00:09:00 | ||
Congruence | 00:13:00 | ||
Congruence Class | 00:12:00 | ||
Residue Systems | 00:04:00 | ||
Quadratic Residues | 00:04:00 | ||
Modular Operations | 00:06:00 | ||
Inverses | 00:07:00 | ||
Modular Exponentiation | 00:10:00 | ||
Wilson’s Theorem | 00:05:00 | ||
Chinese Remainder Theorem | 00:09:00 | ||
Fermat’s Little Theorem | 00:05:00 | ||
Euler’s Totient Function | 00:07:00 | ||
Euler-Fermat Theorem | 00:04:00 | ||
Continued Fractions | |||
Continued Fractions | 00:08:00 | ||
Negative Continued Fractions | 00:11:00 | ||
Finite Continued Fractions | 00:14:00 | ||
Infinite Continued Fractions | 00:17:00 | ||
Periodic Continued Fractions | 00:10:00 | ||
Convergent | 00:12:00 | ||
Cryptography | |||
Cryptography | 00:09:00 | ||
Early Ciphers | 00:11:00 | ||
Public Key Cryptography | 00:13:00 | ||
RSA Encryption | 00:11:00 | ||
Diffie-Hellman Protocol | 00:04:00 | ||
Resources | |||
Resource – An Introduction to Number Theory | 00:00:00 | ||
Assignment | |||
Assignment – An Introduction to Number Theory | 00:00:00 |
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