Natural Numbers Course
Build advanced number theory expertise in this rigorous Natural Numbers course. Master prime factorisation, GCD via Euclidean algorithm, induction, well-ordering principles, and concepts of infinity and cardinality. Enhance proof techniques, logical structuring, and skills for sophisticated mathematical pursuits, ensuring clear, professional presentations.

4 to 360 hours flexible workload
valid certificate in your country
What will I learn?
This course delivers a strong foundation in primes, unique factorisation, divisibility, GCD, and the Euclidean algorithm, progressing to order, well-ordering, and induction via clear examples. It further covers infinity, bijections, and cardinality, while honing proof-writing skills for precise, structured arguments, computations, and a compelling final project.
Elevify advantages
Develop skills
- Master prime factorisation: quickly factor integers and utilise GCD, LCM effectively.
- Achieve fluency in Euclidean algorithm: calculate GCDs and linear combinations methodically.
- Excel in induction and well-ordering: construct solid proofs over natural numbers assuredly.
- Grasp infinity and cardinality: apply bijections to assess infinite set magnitudes.
- Refine proof writing: deliver clear, precise arguments suitable for mathematical experts.
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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