Here are some definitions of “aesthetics” I came across in my readings. First off is the entry in Wikipedia on the etymology of the word “aesthetics,” as well as its nature:
Aesthetics (also spelled esthetics) is a branch of philosophy, a species of value theory or axiology, which is the study of sensory or sensori-emotional values, sometimes called judgments of sentiment and taste. Aesthetics is closely associated with the philosophy of art.
The term aesthetics comes from the Greek αισθητική “aisthetike” and was coined by the philosopher Alexander Gottlieb Baumgarten in 1735 to mean “the science of how things are known via the senses.” The term aesthetics was used in German, shortly after Baumgarten introduced its Latin form (Aesthetica), but was not widely used in English until the beginning of the 19th century. However, much the same study was called studying the “standards of taste” or “judgments of taste” in English, following the vocabulary set by David Hume prior to the introduction of the term “aesthetics.”
Today the word “aesthetics” may mean (1) the study of the aesthetic (all the aesthetic phenomena), (2) the study of perception (of such phenomena), (3), the study of art (as a specific expression of what is perceived as aesthetic).
Another definition comes from ArtLex:
Aesthetics or æsthetics — The branch of philosophy that deals with the nature and value of art objects and experiences. It is concerned with identifying the clues within works that can be used to understand, judge, and defend judgments about those works. Originally, any activity connected with art, beauty and taste, becoming more broadly the study of art’s function, nature, ontology, purpose, and so on.
Still another definition may be found in Daniel MacAdam’s site:
AESTHETICS, a branch of study variously defined as the philosophy or science of the beautiful, of taste or of the fine arts….
The name is something of an accident. In its original Greek form (aisthetikos) it means what has to do with sense-perception as a source of knowledge; and this is still its meaning in Kant’s philosophy (“Transcendental Aesthetic”). Its limitation to that function of sensuous perception which we know as the contemplative enjoyment of beauty is due to A. G. Baumgarten. Although the subject does not readily lend itself to precise definition at the outset, we may indicate its scope and aim, as understood by recent writers, by saying that it deals successively with one great department of human experience, viz. the pleasurable activities of pure contemplation. By pure contemplation is here understood that manner of regarding objects of sense-perception, and more particularly sights and sounds, which is entirely motived by the pleasure of the act itself. The term “object” means whatever can be perceived through one of the senses, e.g. a flower, a landscape, the flight of a bird, a sequence of tones. The contemplation may be immediate when (as mostly happens) the object is present to sense; or it may be mediate, when as in reading poetry we dwell on images of objects of sense. Whenever we become interested in an object merely as presented for our contemplation our whole state of mind may be described as an aesthetic attitude, and our experience as an aesthetic experience. Other expressions such as the pleasure of taste, the enjoyment and appreciation of beauty (in the larger sense of this term), will serve less precisely to mark off this department of experience.