The Total Number Of Dirichlet's Publications Is

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.

...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.

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.

Complete Knowledge Of The Nature Of An Analytic Function Must Also Include Insight Into Its Behavior For Imaginary Values Of The Arguments. Often The Latter Is Indispensable Even For A Proper Appreciation Of The Behavior Of The Function For Real Arguments. It Is Therefore Essential That The Original Determination Of The Function Concept Be Broadened To A Domain Of Magnitudes Which Includes Both The Real And The Imaginary Quantities, On An Equal Footing, Under The Single Designation Complex Numbers.

It May Be True That People Who Are Merely Mathematicians Have Certain Specific Shortcomings; However That Is Not The Fault Of Mathematics, But Is True Of Every Exclusive Occupation. Likewise A Mere Linguist, A Mere Jurist, A Mere Soldier, A Mere Merchant, And So Forth. One Could Add Such Idle Chatter That When A Certain Exclusive Occupation Is Often Connected With Certain Specific Shortcomings, It Is On The Other Hand Always Free Of Certain Other Shortcomings.