"Count enumeration: A sequence detailing the figures in question"
The University of Paderborn is hosting an exciting online event, the Paderborn Math Circle, aimed at students with intermediate math knowledge. This workshop, taking place on November 18, 2025, at 6:00 PM, will delve into the fascinating world of Pythagorean number patterns and their related sum formulas.
To participate, registration is required by November 18, 2025, at 11:00 AM. You can register by sending an email with the provided registration form from the Paderborn Math Circle website. The event is free of charge and will utilize the Zoom platform with a campus license from Uni Paderborn for the video conference.
Access data and materials for the online workshop will be sent to your email on November 18, 2025, before the meeting. The video conference will be open from 5:45 PM, allowing participants to join and settle in before the workshop begins.
During the workshop, you'll learn about the principles of mathematical induction and how they can be used to prove sum formulas for natural numbers. For instance, the sum of the squares of the first n natural numbers can be expressed as:
[ 1^2 + 2^2 + \dots + n^2 = \frac{n(n+1)(2n+1)}{6} ]
The process involves establishing the base case, assuming the formula for an arbitrary natural number, and proving it for the next number using algebraic manipulation.
The Paderborn Math Circle's workshop is expected to demonstrate these inductive proofs visually or through concrete pattern exploration, connecting number patterns (like Pythagorean number patterns) to algebraic induction proofs.
Join us at the University of Paderborn for an enlightening journey into the world of mathematics beyond the classroom. Register now to secure your spot!
University of Paderborn Website
[1] Principle of Mathematical Induction. (n.d.). Retrieved from https://en.wikipedia.org/wiki/Principle_of_mathematical_induction
[2] Sum of cubes. (n.d.). Retrieved from https://en.wikipedia.org/wiki/Sum_of_cubes
[3] Sum of odd natural numbers. (n.d.). Retrieved from https://en.wikipedia.org/wiki/Sum_of_odd_natural_numbers
[4] Sum of natural numbers. (n.d.). Retrieved from https://en.wikipedia.org/wiki/Sum_of_natural_numbers
[5] Proofs by Induction. (n.d.). Retrieved from https://www.mathsisfun.com/algebra/proof-by-induction.html
Participants of the Paderborn Math Circle workshop, hosted by the University of Paderborn, can expect to engage in education-and-self-development by learning about mathematical induction, a fundamental principle in mathematics, and its applications in proving sum formulas for natural numbers, such as the sum of the squares of the first n natural numbers. Registration for the free event, utilizing the Zoom platform, is required by November 18, 2025, at 11:00 AM to secure a spot.
