Our jewel ... one of the most remarkable, almost astounding, formulas in all of mathematics.
--
Richard Feynman on Euler's formula, of which Euler's identity is a special case, in The Feynman Lectures on Physics, Vol. I, p. 22Leonhard Euler
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Our world hangs like a magnificent jewel in the vastness of space. Every one of us is a part of that jewel. A facet of that jewel. And in the perspective of infinity, our differences are infinitesimal.
Fred Rogers
He filled his writings with mathematical discoveries, and exhibited on every occasion the remarkable connection between mathematics and philosophy.
Plato
Grattan-Guinness has achieved a synthesis here of remarkable historical and mathematical scope and sensitivity. His book is a 'must read' for historians of science and mathematics, as well as mathematicians.
Ivor Grattan-Guinness
Pure mathematics is, in its way, the poetry of logical ideas. One seeks the most general ideas of operation which will bring together in simple, logical and unified form the largest possible circle of formal relationships. In this effort toward logical beauty spiritual formulas are discovered necessary for the deeper penetration into the laws of nature.
Albert Einstein
Pure mathematics consists entirely of assertions to the effect that, if such and such a proposition is true of anything, then such and such another proposition is true of that thing. It is essential not to discuss whether the first proposition is really true, and not to mention what the anything is, of which it is supposed to be true ... If our hypothesis is about anything, and not about some one or more particular things, then our deductions constitute mathematics. Thus mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true. People who have been puzzled by the beginnings of mathematics will, I hope, find comfort in this definition, and will probably agree that it is accurate.
Bertrand Russell
Euler, Leonhard
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