Number Theory - Online Tutoring Course
Description
Dive into the intriguing world of numbers with our comprehensive Number Theory course. This course explores the fundamental properties and relationships of integers, offering deep insights into the building blocks of mathematics. Whether you're a student, aspiring mathematician, or simply fascinated by the beauty of numbers, this course covers essential topics from prime numbers and divisibility to modular arithmetic and Diophantine equations. With clear explanations and challenging problem-solving exercises, you’ll develop a solid foundation in number theory and discover its profound applications in cryptography, coding theory, and mathematical research.
Course Detail
Duration
3 months
Weekly sessions
3
Type
Individual
Available Languages
English
Syllabus
What you will learn
- Understand the basics of divisibility, prime numbers, and the greatest common divisor (GCD).
- Learn about the Fundamental Theorem of Arithmetic and its implications.
- Explore modular arithmetic and its applications in cryptography and computer science.
- Study advanced topics like Euler’s theorem, Fermat’s Little Theorem, and the Chinese Remainder Theorem.
- Analyze Diophantine equations and learn methods for finding integer solutions.
- Discover the properties and significance of special numbers, such as perfect numbers and Mersenne primes.
- Apply number theory concepts to solve complex mathematical problems and puzzles.