Natural Numbers Course
Enhance your number theory expertise through this comprehensive Natural Numbers course. Master prime factorisation, gcd via the Euclidean algorithm, induction, well-ordering principles, and concepts of infinity and cardinality. The programme is designed to refine proof techniques, improve logical structuring, and bolster skills for advanced mathematical pursuits, ensuring your computations and arguments are accurate and persuasive.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This course provides a strong foundation in primes, unique factorisation, divisibility, gcd, and the Euclidean algorithm, then advances to order, well-ordering, and induction using clear examples. It further covers infinity, bijections, and cardinality, while enhancing proof-writing skills for precise and organised mathematical arguments and projects.
Elevify advantages
Develop skills
- Master prime factorisation: quickly factor integers and utilise gcd and lcm effectively.
- Gain fluency in the Euclidean algorithm: calculate gcds and linear combinations systematically.
- Excel in induction and well-ordering: construct solid proofs over natural numbers confidently.
- Understand infinity and cardinality: apply bijections to assess infinite set sizes.
- Develop clear proof writing: deliver precise, professional mathematical arguments.
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 workloadWhat our students say
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