"Algebraic Topology from a Homotopical Viewpoint" offers an innovative introduction to algebraic topology through the lens of homotopy theory. This approach, which has clear applications in algebraic geometry, allows the authors to address the subject more efficiently than the more traditional method of homological algebra. The book covers fundamental concepts of homotopy theory, such as fibrations and cofibrations, and uses these to construct singular homology and cohomology as well as K-theory. Additional fundamental concepts are also introduced, including the construction of characteristic classes of vector bundles. The book is aimed at advanced students and graduates with a basic understanding of point-set topology and group theory, making it suitable for a two-semester course. The authors, Marcelo Aguilar, Samuel Gitler, and Carlos Prieto, are experienced mathematics professors who bring extensive expertise to the work.