Natural Numbers Course
Enhance your number theory expertise in this rigorous Natural Numbers course, covering prime factorisation, GCD via Euclidean algorithm, induction, well-ordering principles, and concepts of infinity. Designed to refine proof techniques, organise reasoning effectively, and bolster skills for advanced mathematical pursuits, ensuring clarity and precision in all computations and projects.

4 to 360 hours of flexible workload
certificate valid in your country
What Will I Learn?
This course provides a strong foundation in primes, unique factorisation, divisibility, GCD, and the Euclidean algorithm, progressing to order, well-ordering, and induction through clear examples. It further covers infinity, bijections, and cardinality, while enhancing proof-writing skills for precise and convincing mathematical arguments.
Elevify Advantages
Develop Skills
- Master prime factorisation to efficiently factor integers and utilise GCD and LCM practically.
- Gain fluency in the Euclidean algorithm for computing GCDs and linear combinations accurately.
- Develop proficiency in induction and well-ordering to construct robust proofs over natural numbers.
- Understand infinity and cardinality by applying bijections to assess infinite set sizes.
- Hone clear proof writing to deliver precise, professional mathematical arguments.
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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