Best function & mathematics Quotes | Short & Famous Sayings

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

Wells Whole Problem Known Study Modern Logic Function Mathematics Defined Certainty Uncertainty Reasoning Well Known Equations Transcendental Ontology Differential Equations

Book:The Evanston Colloquium: Lectures on Mathematics Delivered from Aug. 28 to Sept. 9, 1893 Before Members of the Congress of Mathematics Held in Connection with the World's Fair in Chicago at Northwestern University, Evanston, Ill

Source: The Evanston Colloquium: Lectures on Mathematics Delivered from Aug. 28 to Sept. 9, 1893 Before Members of the Congress of Mathematics Held in Connection with the World's Fair in Chicago at Northwestern University, Evanston, Ill

“There is plenty of room left for exact experiment in art, and the gate has been opened for some time. What had been accomplished in music by the end of the eighteenth century has only begun in the fine arts. Mathematics and physics have given us a clue in the form of rules to be strictly observed or departed from, as the case may be. Here salutary discipline is come to grips first of all with the function of forms, and not with form as the final result … in this way we learn how to look beyond the surface and get to the root of things.”

“Certain functions appear so often that it is convenient to give them names. These are collectively called special functions. There are many examples and no single way of looking at them can illuminate all examples or even all the important properties of a single example of a special function.”

Way Giving Important Science Certain Names Special Example Function Mathematics Property Convenient

Author:Richard Askey

“By and large it is uniformly true in mathematics that there is a time lapse between a mathematical discovery and the moment when it is useful; and that this lapse of time can be anything from 30 to 100 years, in some cases even more; and that the whole system seems to function without any direction, without any reference to usefulness, and without any desire to do things which are useful.”

Years Whole Moments Seems Desire Cases Discovery Function Mathematics Mathematical Usefulness Lapses Time Lapse

Author:John von Neumann

“The standard "foundation" for mathematics starts with sets and their elements. It is possible to start differently, by axiomatising not elements of sets but functions between sets. This can be done by using the language of categories and universal constructions.”

Done Language Elements Standards Universal Function Mathematics Foundation Categories Construction

Book:Mathematics, form and function

Source: Mathematics, form and function

“. . . the membership relation for sets can often be replaced by the composition operation for functions. This leads to an alternative foundation for Mathematics upon categories -- specifically, on the category of all functions. Now much of Mathematics is dynamic, in that it deals with morphisms of an object into another object of the same kind. Such morphisms (like functions) form categories, and so the approach via categories fits well with the objective of organizing and understanding Mathematics. That, in truth, should be the goal of a proper philosophy of Mathematics.”

“To function effectively, the system scientist must know a considerable amount about the natural world AND about mathematics, without being an expert in either field. This is clearly a prescription for career disaster in today's world of ultra-high specialization.”

Knows World Today Natural Careers Fields Amount Scientist Function Mathematics Disaster Experts Natural World Prescriptions Today's World Specialization Ultras

Author:John L. Casti

“There are certain conceptual powers in this project, like the relationship of glass to sand, and the idea of putting glass back into the earth, which is where it comes from, which are related to the whole concept of I Am. So there's that one below-surface idea, and then there's these other practical and more pragmatic ideas about how the light functions and the geometry and mathematics behind the reverberation of light from the surface outward.”

Ideas Whole Light Earth Certain Behinds Projects Concepts Function Mathematics Glasses Surface Practicals Related Sand Geometry Pragmatic Reverberation

Author:Tavares Strachan

“Can one think that because we are engineers, beauty does not preoccupy us or that we do not try to build beautiful, as well as solid and long lasting structures? Aren't the genuine functions of strength always in keeping with unwritten conditions of harmony? ... Besides, there is an attraction, a special charm in the colossal to which ordinary theories of art do not apply.”

“I believe that mathematical reality lies outside us, that our function is to discover or observe it, and that the theorems which we prove, and which we describe grandiloquently as our "creations," are simply the notes of our observations.”

Source: A Mathematician's Apology

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