Natural Numbers Course
Build expertise in number theory through this comprehensive Natural Numbers course. Master prime factorization, gcd via Euclidean algorithm, induction, well-ordering, and concepts of infinity and cardinality. Enhance proof-writing and reasoning skills for advanced mathematics success, ensuring organised and convincing presentations.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This course provides a strong foundation in primes, unique factorization, divisibility, gcd, and the Euclidean algorithm, then advances to order, well-ordering, induction, infinity, bijections, and cardinality, all with clear examples. It hones proof techniques and writing for precise, organised arguments, computations, and projects.
Elevify advantages
Develop skills
- Master prime factorization to quickly factor integers and use gcd, lcm effectively.
- Gain fluency in Euclidean algorithm for computing gcds and linear combinations.
- Prove statements on natural numbers confidently using induction and well-ordering.
- Compare infinite sets by cardinality using bijections.
- Write clear, precise proofs suitable for professional mathematicians.
Suggested summary
Before starting, you can change the chapters and workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.What our students say
FAQs
Who is Elevify? How does it work?
Do the courses have certificates?
Are the courses free?
What is the course workload?
What are the courses like?
How do the courses work?
What is the duration of the courses?
What is the cost or price of the courses?
What is an online course and how does it work?
PDF Course