Differential Geometry Quotes & Sayings

There is a mathematical underpinning that you must first acquire, mastery of each mathematical subdiscipline leading you to the threshold of the next. In turn you must learn arithmetic, Euclidian geometry, high school algebra, differential and integral calculus, ordinary and partial differential equations, vector calculus, certain special functions of mathematical physics, matrix algebra, and group theory. For most physics students, this might occupy them from, say, third grade to early graduate school - roughly 15 years. Such a course of study does not actually involve learning any quantum mechanics, but merely establishing the mathematical framework required to approach it deeply. — Carl Sagan

At the Stourbridge Fair in 1663, at age twenty, he purchased a book on astrology, "out of a curiosity to see what there was in it." He read it until he came to an illustration which he could not understand, because he was ignorant of trigonometry. So he purchased a book on trigonometry but soon found himself unable to follow the geometrical arguments. So he found a copy of Euclid's Elements of Geometry, and began to read. Two years later he invented the differential calculus. — Carl Sagan

Criticism is valuable ... and self-congratulatory experiences are not. — Harold Prince

This is largely the methodology I've used throughout my career - that is, starting with a question as to what might be the properties of a set of compounds that could be invented which were unusual and unpredictable. Many times I've felt a bit like Columbus setting sail. — Donald Cram

I stay out of the sunshine and away from people as much as possible. — Grumpy Cat

The constituents of tragedy may be universally acknowledged, easily invoked and deeply felt, but the elements of comedy are, I think, more widely variable from person to person. — Paul Di Filippo

I haven't heard of anybody who wants to stop living on account of the cost. — Kim Hubbard

It's the story of my life. You see, the quality of any advice anybody has to offer has to be judged against the quality of life they actually lead. Now, as you look through this document you'll see that I've underlined all the major decisions I ever made to make the stand out. They're all indexed and cross-referenced. See? All I can suggest is that if you take decisions that are exactly opposite to the sort of decisions that I've taken, then maybe you won't finish up at the end of your life"
she paused, and filled her lungs for a good should
"in a smelly old cave like this! — Douglas Adams

Nobody, they say, is a hero to his valet. Of course; for a man must be a hero to understand a hero. The valet, I dare say, has great respect for some person of his own stamp. — Johann Wolfgang Von Goethe

The differential element of non-Euclidean spaces is Euclidean. This fact, however, is analogous to the relations between a straight line and a curve, and cannot lead to an epistemological priority of Euclidean geometry, in contrast to the views of certain authors. — Hans Reichenbach

Life is Quicker Than a Blink of an Eye — Jimi Hendrix

Every one who understands the subject will agree that even the basis on which the scientific explanation of nature rests is intelligible only to those who have learned at least the elements of the differential and integral calculus, as well as analytical geometry. — Felix Klein

Brahms' Variations are better than mine, but mine were written before his. — Franz Liszt