Natural Numbers Course
Enhance your number theory expertise through this comprehensive Natural Numbers course. Master prime factorization, GCD via the Euclidean algorithm, induction, well-ordering principles, and concepts of infinity. Develop sharp proof techniques, structured reasoning, and skills essential for advanced mathematical studies and professional work.

4 to 360h flexible workload
certificate valid in your country
What will I learn?
This course provides a strong foundation in prime numbers, unique factorization, divisibility, GCD, and the Euclidean algorithm. It then advances to order, well-ordering, and mathematical induction with detailed examples. Students will also examine infinity, bijections, and cardinality, while honing proof-writing skills for precise and organized mathematical arguments and projects.
Elevify advantages
Develop skills
- Master prime factorization to quickly factor integers and apply GCD and LCM effectively.
- Gain fluency in the Euclidean algorithm for computing GCDs and linear combinations.
- Construct rigorous proofs using induction and well-ordering on natural numbers.
- Compare infinite sets using bijections and understand cardinality.
- Write clear, precise proofs suitable for mathematical professionals.
Suggested summary
Before starting, you can change the chapters and the workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.What our students say
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