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A polymath (Greek: , polymath?s, "having learned much,"Latin: homo universalis, "universal man") is a person whose expertise spans a significant number of different subject areas--such a person is known to draw on complex bodies of knowledge to solve specific problems.
In Western Europe, the first work to use polymathy in its title (De Polymathia tractatio: integri operis de studiis veterum) was published in 1603 by Johann von Wower, a Hamburg philosopher. Wower defined polymathy as "knowledge of various matters, drawn from all kinds of studies [...] ranging freely through all the fields of the disciplines, as far as the human mind, with unwearied industry, is able to pursue them". Wower lists erudition, literature, philology, philomathy and polyhistory as synonyms. The related term, polyhistor, is an ancient term with similar meaning.
Polymaths include the great thinkers of the Renaissance and the Enlightenment who excelled at several fields in science, technology, engineering, mathematics, and the arts. In the Italian Renaissance, the idea of the polymath was expressed by Leon Battista Alberti (1404-1472) in the statement that "a man can do all things if he will". Embodying a basic tenet of Renaissance humanism that humans are limitless in their capacity for development, the concept led to the notion that people should embrace all knowledge and develop their capacities as fully as possible. This is expressed in the term "Renaissance man"--often applied to the gifted people of that age who sought to develop their abilities in all areas of accomplishment: intellectual, artistic, social and physical. The term entered the lexicon in the twentieth century and has now been applied to great thinkers living before and after the Renaissance.
"Renaissance man" was first recorded in written English in the early 20th century. It is now used to refer to great thinkers living before, during, or after the Renaissance. Leonardo da Vinci has often been described as the archetype of the Renaissance man, a man of "unquenchable curiosity" and "feverishly inventive imagination".
Many notable polymaths lived during the Renaissance period, a cultural movement that spanned roughly the 14th through to the 17th century that began in Italy in the Late Middle Ages and later spread to the rest of Europe. These polymaths had a rounded approach to education that reflected the ideals of the humanists of the time. A gentleman or courtier of that era was expected to speak several languages, play a musical instrument, write poetry and so on, thus fulfilling the Renaissance ideal.
The idea of a universal education was essential to achieving polymath ability, hence the word university was used to describe a seat of learning. At this time, universities did not specialize in specific areas, but rather trained students in a broad array of science, philosophy and theology. This universal education gave them a grounding from which they could continue into apprenticeship toward becoming a master of a specific field.
When someone is called a "Renaissance man" today, it is meant that rather than simply having broad interests or superficial knowledge in several fields, the individual possesses a more profound knowledge and a proficiency, or even an expertise, in at least some of those fields. Some dictionaries use the term "Renaissance man" to describe someone with many interests or talents, while others give a meaning restricted to the Renaissance and more closely related to Renaissance ideals.
Aside from "Renaissance man" as mentioned above, similar terms in use are homo universalis (Latin) and uomo universale (Italian), which translate to "universal man". The related term "generalist"--contrasted with a "specialist"--is used to describe a person with a general approach to knowledge.
The term "universal genius" or "versatile genius" is also used, with Leonardo da Vinci as the prime example again. The term is used especially for people who made lasting contributions in at least one of the fields in which they were actively involved and when they took a universality of approach.
When a person is described as having encyclopedic knowledge, they exhibit a vast scope of knowledge. However, this designation may be anachronistic in the case of persons such as Eratosthenes whose reputation for having encyclopedic knowledge predates the existence of any encyclopedic object.