Spinning the Cosmic Web is a textbook on modern cosmology with an observational focus using only elementary calculus and statistics. The observational approach facilitates including the often-neglected formation and evolution of galaxies in dark matter halos, forming the cosmic web and crucial to understanding the interconnection between the observed galaxy distribution and the underlying dark matter structure - the bias. The book is divided into ten chapters. The book's first half focuses on cosmic web, while the second half deals with galaxies and their evolution within the cosmic web. After a short introduction to the contemporary cosmological paradigm in a historical context, we discuss the current observations of the Universe and its constituents. Further chapters will dive gradually into the non-linear process and the physics of the cosmic web. The classical view on cosmology is described quantitatively using the correlation function of galaxies. The growth of the modern view on cosmology is manifested by the understanding that dark matter and dark energy are important components of matter-energy content of the Universe.