the sciences which the qur'an invites men to study

In verses too numerous to mention, the Qur'an invites one to reflect upon the signs Of creation: the heavens, the shining stars and their astonishing celestial movements, and the cosmic order which rules over them all. Similarly, the Qur'an urges one to reflect upon the creation of the earth, the seas, the mountains, the desert, and the wonders contained below the surface of the earth, the difference between night and day and the changing cycle of seasons. It urges mankind to meditate on the extraordinary creation of the plants and the order and symmetry governing their growth, as well as the multiplicity of the animal kingdom.
The Qur'an invites one to witness the interdependence of beings and how all live in harmony with nature. It calls upon man also, to ponder on his own make-up, on the secrets of creation which are hidden within him, on his soul, on the depth of his perception, and on his relationship with the world of the spirit.
The Qur'an commands man to travel in the world in order to witness other cultures and to investigate the social orders, history and philosophies of past people. Thus it calls man to a study of the natural sciences, mathematics, philosophy, the arts and all sciences available to man, and to study them for the benefit of man and the well-being of society.
The Qur'an recommends the study of these sciences on the condition that it leads to truth and reality, that it produces a correct view of the world based on an understanding of god.
Knowledge, which merely keeps a man occupied and prevents him from knowing the reality of his own existence, is equated with ignorance. God says in xxx:7, "They know only some appearance of the life of one world and are heedless of the hereafter" and in chapter xlv:23, "Have you seen him who makes his Desire his goal, and God sends him astray purposely and seals up his Heart and sets a covering on his Heart. Then who will lead him after god (has condemned him)."
The Qur'an not only stimulates the desire for study but is itself a complete system of education of divine knowledge; it provides, too, a model for human behaviour and thought. This complete way of life is called Islam, the way of submission.