Sonoma State University

Department of Mathematics

M*A*T*H Colloquium

Dr. B.'s Web Page

You will find quotations related to mathematics just below and at the bottom of this page. Each has inspired me to think of the mathematical experience in some new way.

I advise my students to listen carefully the moment they decide to take no more mathematics courses.   They might be able to hear the sound of closing doors.---James Caballero

The only way to learn mathematics is to do mathematics. --- Paul Halmos

Dr. B.'s e-mail (bill.barnier@sonoma.edu)

Fall 2014

I am now retired.  My e-mail is still good if you wish to contact me.   

Archimedes will be remembered when Aeschylus is forgotten, because languages die and mathematical ideas do not. --- G. H. Hardy

He is unworthy of the name of man who is ignorant of the fact that the diagonal of a square is incommensurable with its side. --- Plato

The man ignorant of mathematics will be increasingly limited in his grasp of the main forces of civilization. --- John Kemeny

Mathematics as we know it and as it has come to shape modern science could never have come into being without some disregard for the dangers of the infinite. --- David Bressoud

The miracle of the appropriateness of the language of mathematics for the formulation of the laws of physics is a wonderful gift which we neither understand nor deserve. We should be grateful for it and hope that it will remain valid in future research and that it will extend, for better or for worse, to our pleasure even though perhaps also to our bafflement, to wide branches of learning. --- Eugene Wigner, The Unreasonable Effectiveness of Mathematics

Descartes Tangent Lines

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Last revised on August 23, 2014