Complex Analysis Quotes

If I were to awaken after having slept for a thousand years, my first question would be: Has the Riemann hypothesis been proven?

Mathematical Analysis is... the true rational basis of the whole system of our positive knowledge.

I enjoyed like nothing else working in pure math, discovering new formulas.

Questions of motive are very difficult in intelligence analysis.

The difference between me and them is that I'll look at Jesse Jackson and I'll see four Jesse Jacksons, and they'll just see one, the clown ambulance chaser.

After exponential quantities the circular functions, sine and cosine, should be considered because they arise when imaginary quantities are involved in the exponential.

It is well known that the central problem of the whole of modern mathematics is the study of transcendental functions defined by differential equations.

Had Mittag-Leffler had his way, I should have to wait until the year 1984, which to me seemed too great a demand!

I have found a very great number of exceedingly beautiful theorems.

Complete knowledge of the nature of an analytic function must also include insight into its behavior for imaginary values of the arguments. Often the latter is indispensable even for a proper appreciation of the behavior of the function for real arguments. It is therefore essential that the original determination of the function concept be broadened to a domain of magnitudes which includes both the real and the imaginary quantities, on an equal footing, under the single designation complex numbers.

Analysis does not owe its really significant successes of the last century to any mysterious use of sqrt(-1), but to the quite natural circumstances that one has infinitely more freedom of mathematical movement if he lets quantities vary in a plane instead of only on a line.

That this subject [of imaginary magnitudes] has hitherto been considered from the wrong point of view and surrounded by a mysterious obscurity, is to be attributed largely to an ill-adapted notation. If, for example, +1, -1, and the square root of -1 had been called direct, inverse and lateral units, instead of positive, negative and imaginary (or even impossible), such an obscurity would have been out of the question.

The square root of I is I.

The power of Ayasdi is its unique ability to automatically discover insights - regardless of complexity - without asking questions.

Mathematics is written for mathematicians.

The greatest problem for mathematicians now is probably the Riemann Hypothesis.

I tell you, with complex numbers you can do anything.

The most exciting science requires the most complex instruments.

This means I must pay close attention to the writing, but equally so to the scientific background - which sometimes means doing fairly involved calculations.

The Tea Party is a group that rejects deep thinking, it rejects the very complex analysis that is involved in public policy, it rejects the kind of textured decision-making that Ronald Reagan prided himself on.

This is a tricky domain because, unlike simple arithmetic, to solve a calculus problem - and in particular to perform integration - you have to be smart about which integration technique should be used: integration by partial fractions, integration by parts, and so on.