This book provides a gentle introduction to the foundations of Algebraic Geometry starting from computational topics ideals and homogeneous ideals zero loci of ideals up to increasingly intrinsic and abstract arguments such as ampampquotAlgebraic Varietiesampampquot whose natural continuation is a more advanced course on the theory of schemes vector bundles and sheafcohomology.Valuable to students studying Algebraic Geometry and Geometry this title contains around 60 exercises with solutions to help students thoroughly understand the theories introduced in the book. Proofs of the results are carried out in full detail. Many examples are discussed in order to reinforce the understanding of both the theoretical elements and their consequences as well as the possible applications of the material.