I Soon Found An Opportunity To Be

After Exponential Quantities The Circular Functions, Sine And Cosine, Should Be Considered Because They Arise When Imaginary Quantities Are Involved In The Exponential.

Since The Fabric Of The Universe Is Most Perfect And The Work Of A Most Wise Creator, Nothing At All Takes Place In The Universe In Which Some Rule Of Maximum Or Minimum Does Not Appear ... There Is Absolutely No Doubt That Every Affect In The Universe Can Be Explained Satisfactorily From Final Causes, By The Aid Of The Method Of Maxima And Minima, As It Can Be From The Effective Causes Themselves ... Of Course, When The Effective Causes Are Too Obscure, But The Final Causes Are Readily Ascertained, The Problem Is Commonly Solved By The Indirect Method.

To Those Who Ask What The Infinitely Small Quantity In Mathematics Is, We Answer That It Is Actually Zero. Hence There Are Not So Many Mysteries Hidden In This Concept As They Are Usually Believed To Be.

Thus You See, Most Noble Sir, How This Type Of Solution To The Königsberg Bridge Problem Bears Little Relationship To Mathematics, And I Do Not Understand Why You Expect A Mathematician To Produce It, Rather Than Anyone Else, For The Solution Is Based On Reason Alone, And Its Discovery Does Not Depend On Any Mathematical Principle.

I Soon Found An Opportunity To Be Introduced To A Famous Professor Johann Bernoulli. ... True, He Was Very Busy And So Refused Flatly To Give Me Private Lessons; But He Gave Me Much More Valuable Advice To Start Reading More Difficult Mathematical Books On My Own And To Study Them As Diligently As I Could; If I Came Across Some Obstacle Or Difficulty, I Was Given Permission To Visit Him Freely Every Sunday Afternoon And He Kindly Explained To Me Everything I Could Not Understand.