Linz, Austria

Integrated Master's degree

Language: German

Subject area: mathematics and statistics

Qualification: other

Magister/Magistra der Naturwissenschaften, Mag. rer. nat

9 (4+5) Semester

270 ECTS

9 (4+5) Semester

270 ECTS

University website: www.jku.at

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change. It has no generally accepted definition.

Mathematical development in England was at a low ebb in the early decades of the nineteenth century, with Cambridge stagnating in the shadow of Newton, who had produced his mathematics nearly a century and a half earlier. This dead hand of tradition, which stifled much initiative and originality, was in sharp contrast to the situation in France.

D. Mary Cannell, "George Green Mathematician and Physicist 1793-1841: The background to his life and work" p. xxviii (second edition, 2001).

Who has studied the works of such men as Euler, Lagrange, Cauchy, Riemann, Sophus Lie, and Weierstrass, can doubt that a great mathematician is a great artist? The faculties possessed by such men, varying greatly in kind and degree with the individual, are analogous with those requisite for constructive art. Not every mathematician possesses in a specially high degree that critical faculty which finds its employment in the perfection of form, in conformity with the ideal of logical completeness; but every great mathematician possesses the rarer faculty of constructive imagination.

E. W. Hobson, Presidential Address British Association for the Advancement of Science (1910) Nature Vol. 84 p. 290 as quoted by Robert Édouard Moritz, Memorabilia Mathematica; Or, The Philomath's Quotation-book (1914) p. 184.

The science of mathematics presents the most brilliant example of how pure reason may successfully enlarge its domain without the aid of experience.

Immanuel Kant, Critique of Pure Reason (1781) Tr. Max Müller (1881) p. 610.