This book covers algebraic geometry from the beginnings to an introduction of algebraic surfaces, viz.. to the gate from which the classification of algebraic surfaces starts. The book has three parts. The first part provides the necessary basic results from commutative algebras and the theory of sheaves and its cohomologies. The second part is on schemes and algebraic varieties. The third part is on algebraic curves and surfaces, placing emphasis on the use of linear systems and the associated rational mappings.