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Natural Numbers Course

Natural Numbers Course
from 4 to 360h flexible workload
valid certificate in your country

What will I learn?

Gain a solid foundation in natural numbers, mastering primes, unique factorization, divisibility, gcd, and Euclidean algorithm. Advance to order, well-ordering, induction, infinity, bijections, and cardinality, with worked examples. Develop precise proof techniques and writing skills for convincing arguments and a structured final project.

Elevify advantages

Develop skills

  • Master prime factorization to factor integers quickly and use gcd and lcm effectively.
  • Gain fluency in the Euclidean algorithm for computing gcds and linear combinations.
  • Craft rigorous proofs using induction and well-ordering on natural numbers confidently.
  • Compare infinite sets using bijections to understand infinity and cardinality.
  • Write clear, precise proofs suitable for professional mathematicians.

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 workload.
Workload: between 4 and 360 hours

What our students say

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Great course. Lots of valuable information.
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