In this thesis, we examine the basic concepts of tropical geometry. We define the tropical semiring, form polynomials over this semiring, define roots of tropical polynomials and examine tropical curves that this definition gives rise to. We prove the fundamental theorem of tropical algebra for the tropical polynomials of one variable. Furthermore, we take a look at some of the properties of tropical curves. We define their edges, their vertices and their dual subdivisions. We mention their connection with balanced graphs and prove Bézout theorem for a particular case of tropical curves. In the end of the thesis, we examine amoebas of complex curves and how they connect complex curves with tropical ones. We mention the fundamental theorem of tropical algebraic geometry and relate it to the newly acquired knowledge.
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