Home / Quotes / Quote by Herbert Wilf

Quote by Herbert Wilf

“The full beauty of the subject of generating functions emerges only from tuning in on both channels: the discrete and the continuous.”

Quote by Herbert Wilf

Author

Herbert Wilf was a renowned mathematician known for his contributions to combinatorial mathematics and graph theory. His research spanned a wide range of areas including combinatorial design, graph theory, algorithms, and computer science. Professor Wilf spent his academic career at Princeton University. more

You May Also Like

“Mathematical objects are determined by - and understood by - the network of relationships they enjoy with all the other objects of their species.”

Enjoy Objects Understood Species Determined Math Mathematical

Author:Barry Mazur

“All analysts spend half their time hunting through the literature for inequalities which they want to use and cannot prove.”

Want Use Literature Half Prove Math Inequality Hunting Analysts

Author:G. H. Hardy

“The real irony is that the view of infinity as some forbidden zone or road to insanity - which view was very old and powerful and haunted math for 2000+ years - is precisely what Cantor's own work overturned. Saying that infinity drove Cantor mad is sort of like mourning St. George's loss to the dragon: it's not only wrong but insulting.”

Years Real Loss Views Powerful Mad Math Irony Insanity Mourning Zone Dragons Infinity Forbidden Insulting

Author:David Foster Wallace

“Topology is precisely the mathematical discipline that allows the passage from local to global.”

Discipline Math Locals Mathematical Passages Topology

Author:Rene Thom

“Combinatorics is an honest subject. No adèles, no sigma-algebras. You count balls in a box, and you either have the right number or you haven't. You get the feeling that the result you have discovered is forever, because it's concrete. Other branches of mathematics are not so clear-cut. Functional analysis of infinite-dimensional spaces is never fully convincing; you don't get a feeling of having done an honest day's work. Don't get the wrong idea - combinatorics is not just putting balls into boxes. Counting finite sets can be a highbrow undertaking, with sophisticated techniques.”

“A great deal more is known than has been proved.”

Has Beens Deals Known Math

Author:Richard P. Feynman

“The introduction of numbers as coordinates by reference to the particular division scheme of the open one-dimensional continuum is an act of violence whose only practical vindication is the special calculatory manageability of the ordinary number continuum with its four basic operations.”

Numbers Violence Math Introduction Acts Of Violence Coordinates

Author:Hermann Weyl

“The higher arithmetic presents us with an inexhaustible store of interesting truths - of truths, too, which are not isolated, but stand in a close internal connection, and between which, as our knowledge increases, we are continually discovering new and sometimes wholly unexpected ties.”

Sometimes Interesting Higher Connections Increase Math Stores Ties Unexpected Internals Isolated Discovering Arithmetic

Author:Carl Friedrich Gauss

“We humans have a wide range of abilities that help us perceive and analyze mathematical content. We perceive abstract notions not just through seeing but also by hearing, by feeling, by our sense of body motion and position. Our geometric and spatial skills are highly trainable, just as in other high-performance activities. In mathematics we can use the modules of our minds in flexible ways - even metaphorically. A whole-mind approach to mathematical thinking is vastly more effective than the common approach that manipulates only symbols.”

“All problems in mathematics are psychological.”

Problem Mathematics Math Psychological

Author:Pierre Deligne