Mathematics Is The Queen Of The Sciences.

It May Be True, That Men, Who Are Mere Mathematicians, Have Certain Specific Shortcomings, But That Is Not The Fault Of Mathematics, For It Is Equally True Of Every Other Exclusive Occupation.

Sin2 φ Is Odious To Me, Even Though Laplace Made Use Of It; Should It Be Feared That Sin2 φ Might Become Ambiguous, Which Would Perhaps Never Occur, Or At Most Very Rarely When Speaking Of Sin(φ2), Well Then, Let Us Write (sin φ)2, But Not Sin2 φ, Which By Analogy Should Signify Sin (sin φ)

The Problem Of Distinguishing Prime Numbers From Composite Numbers And Of Resolving The Latter Into Their Prime Factors Is Known To Be One Of The Most Important And Useful In Arithmetic. It Has Engaged The Industry And Wisdom Of Ancient And Modern Geometers To Such An Extent That It Would Be Superfluous To Discuss The Problem At Length. ... Further, The Dignity Of The Science Itself Seems To Require That Every Possible Means Be Explored For The Solution Of A Problem So Elegant And So Celebrated.

...as Our Friend Zach Has Often Noted, In Our Days Those Who Do The Best For Astronomy Are Not The Salaried University Professors, But So-called Dillettanti, Physicians, Jurists, And So Forth.lamenting The Fragmentary Time Left To A Professor Has Remaining After Fulfilling His Teaching Duties.

Mathematics Is The Queen Of The Sciences.