Flooring, the foundation of every architectural marvel, is a multidisciplinary field that intersects with materials science, aesthetics, engineering, and economics. The pursuit of functional, durable, and visually appealing flooring requires an intricate understanding of these disciplines.

Professional flooring services are a collective term for an array of services that focus on the installation, maintenance, and restoration of flooring in both residential and commercial settings. The services offered under this umbrella are diverse, ranging from the installation of different floor types like hardwood, laminate, ceramic tile, vinyl, and carpet to services that maintain and restore these floors such as refinishing and resealing.

In the context of materials science, the first step undertaken by professional flooring services is the selection of appropriate flooring materials. Every material holds specific properties such as hardness, elasticity, heat capacity, and thermal expansion coefficient, which determine its suitability for a specific environment. For instance, marble is a perfect choice for areas prone to spillages due to its low absorption rate, while hardwood flooring with high Janka hardness is ideal for high traffic areas due to its resistance to wear.

Once a suitable flooring material is chosen, the next step is the preparation of the subfloor. The subfloor, a key term in the flooring industry, refers to the underlying concrete or wooden base onto which the floor is installed. It needs to be flat, clean, and structurally sound to ensure a perfect installation. The preparation process may involve removal of old floorings, leveling of the subfloor, and moisture testing.

Installing the floor is the next phase, guided by principles of structural engineering to ensure maximum long-term stability. This phase varies depending on the type of floor; for instance, ceramic tiles will require a mortar bed for adherence, while hardwood flooring might require nailing or stapling. Even within specific floor types, there are variants. For example, with hardwood, there is the traditional nailed down method, but there's also floating installation, where planks are glued or clicked together and not attached to the subfloor, allowing for thermal expansion without warping.

After installation, professional flooring services also offer maintenance and restoration. This sector is deeply rooted in practical chemistry. For instance, the process of refinishing a hardwood floor involves sanding off the old finish and applying a new one, essentially a study in chemical adhesion and volatility. Similarly, sealing a marble floor to enhance its shine and protect it from stains involves the application of a sealer, a process that employs polymer science.

From an economic perspective, professional flooring services provide immense value. A well-chosen and properly installed floor can greatly enhance the value of a property. Equally, the costs associated with improper installation – such as increased maintenance, early replacement, and decreased property value – underscore the economic rationality behind investing in professional flooring services.

In conclusion, professional flooring services are a testament to the virtuosic interplay between various branches of knowledge. They are an essential sector in the building industry, impacting the aesthetics, functionality, and economic value of built spaces. Each step in the process of flooring – from material selection and subfloor preparation to installation and maintenance – requires a deep understanding of the principles from materials science, engineering, practical chemistry, and economics. The role of these professionals in beautifying our living spaces and enhancing the economic value of our properties cannot be overstated.