TL;DR
This introductory French text explains fundamental concepts of tropical geometry, including tropical algebra, plane curves, intersections, and Viro's patchworking, aimed at first-year mathematics students with illustrative examples.
Contribution
It provides an accessible, example-driven introduction to tropical geometry concepts suitable for beginners, with visual aids and supplementary materials.
Findings
Basic tropical algebra and geometry concepts introduced
Illustrated examples clarify complex definitions
Accessible to first-year students
Abstract
This basic introduction to tropical geometry is hopefully accessible to a first years student in mathematics. The topics discussed here are basic tropical algebra, tropical plane curves, some tropical intersections, and Viro's patchworking. I tried as much as possible to illustrate each new definition with concrete examples and nice pictures. As the title suggests, this text is in French. A Portuguese (Brazil) version, as well as correction of exercises, can be found at http://people.math.jussieu.fr/~brugalle/largerpubli.html
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