The Euclidean School, founded by the Greek mathematician Euclid, is known for its emphasis on logical rigor and axiomatic foundations in mathematics.

The Pythagorean School, founded by the Greek philosopher and mathematician Pythagoras, was primarily focused on the study of number theory and its mystical and religious significance.

The Alexandrian School, founded in Alexandria, Egypt, was a major center of mathematical research during the Hellenistic period and made significant contributions to geometry and trigonometry.

The Platonic Academy, founded by the Greek philosopher Plato, emphasized the concept of mathematical idealism, which viewed mathematical objects as existing independently of the physical world.

The Babylonian School, originating in ancient Mesopotamia, was known for its practical applications of mathematics in astronomy, engineering, and surveying.

The Indian School of mathematics, particularly during the Gupta period, made significant contributions to mathematics, including the development of the concept of zero and the decimal system.

The Abbasid School, flourishing during the Abbasid Caliphate, was a major center of mathematical research in the Islamic world and made significant advancements in algebra, geometry, and trigonometry.

The Renaissance movement in mathematics focused on the revival of classical Greek mathematics and the rediscovery of ancient mathematical texts.

Both the Newtonian School and the Leibnizian School, associated with Isaac Newton and Gottfried Wilhelm Leibniz respectively, made significant contributions to the development of modern calculus.

The Bourbaki School, a group of French mathematicians, focused primarily on set theory and its applications in various branches of mathematics.

The Polish School of mathematics, particularly during the 20th century, made significant contributions to the study of topology and its applications.

The Lvov-Warsaw School, a group of Polish mathematicians, focused primarily on mathematical logic and its applications.

The Göttingen School, particularly during the early 20th century, was known for its emphasis on abstract algebra and its applications.

The Russian School of mathematics, particularly during the 20th century, made significant contributions to probability theory and its applications.

The French School of mathematics, particularly during the 20th century, made significant contributions to the study of dynamical systems and ergodic theory.