No Mathematician Should Ever Allow Himself To

There Is Always More In One Of Ramanujan's Formulae Than Meets The Eye, As Anyone Who Sets To Work To Verify Those Which Look The Easiest Will Soon Discover. In Some The Interest Lies Very Deep, In Others Comparatively Near The Surface; But There Is Not One Which Is Not Curious And Entertaining.

Chess Problems Are The Hymn-tunes Of Mathematics.

For Any Serious Purpose, Intelligence Is A Very Minor Gift.

[regarding Mathematics,] There Are Now Few Studies More Generally Recognized, For Good Reasons Or Bad, As Profitable And Praiseworthy. This May Be True; Indeed It Is Probable, Since The Sensational Triumphs Of Einstein, That Stellar Astronomy And Atomic Physics Are The Only Sciences Which Stand Higher In Popular Estimation.

A Month's Intelligent Instruction In The Theory Of Numbes Ought To Be Twice As Instructive, Twice As Useful, And At Least 10 Times As Entertaining As The Same Amount Of 'calculus For Engineers'.