A journey in the world of geometry and algebra: Lecture 1.

Noémie Combe

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Submission date: 22. Feb. 2023
Pages: 22
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Abstract:
The goal of these short introductory lecture notes to algebra, geometry, algebraic-geometry and diophantine geometry is to help students coming from different backgrounds to master some basic concepts in these branches. The philosophy of this lecture is to put some emphasis on spatial geometric visualisation and geometric creativity. These are necessary tools for creating visionary strategies addressing important questions, whether it is in applied mathematics or pure mathematics. This is a sample (chapter 1) of my lecture, inspired from the one done at the Max Planck Institute for Mathematics in Sciences.