Mathematics for Finance

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.

There’s no longer any reason to believe that the wizards of Wall Street actually contribute anything positive to society, let alone enough to justify those humongous paychecks. ... It’s hard to think of any major recent financial innovations that actually aided society, as opposed to being new, improved ways to blow bubbles, evade regulations and implement de facto Ponzi schemes.

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