Natural Numbers Course
Enhance your number theory expertise through this comprehensive Natural Numbers course, covering prime factorization, gcd, Euclidean algorithm, induction, well-ordering, and infinity. Designed to refine proof skills, organise reasoning, and bolster advanced mathematical proficiency with clear examples and practical applications.

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 with detailed examples. It further covers infinity, bijections, cardinality, while enhancing 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 the Euclidean algorithm for computing gcds and linear combinations.
- Develop skills in induction and well-ordering to construct solid proofs on natural numbers.
- Understand infinity and cardinality by applying bijections to infinite sets.
- Write clear, precise proofs suitable for professional mathematical communication.
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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