Book contents
- Frontmatter
- Foreword
- Acknowledgments
- Contents
- The Mystery of the Four-leaf Clovers
- A Fugue
- Tombstone Inscriptions
- The Two Lights
- MMM
- Acquiring Some Personal Items for MMM
- Difficulty in Explaining Relativity Theory in a Few Words
- Difficulty in Obtaining a Cup of Hot Tea
- Hail to Thee, Blithe Spirit
- C. D.
- Cupid's Problem
- The Lighter Life of an Editor
- The Two Kellys
- Some Debts
- Hypnotic Powers
- Founding the Echols Mathematics Club
- Meeting Maurice Fréchet
- Mathematizing the New Mathematics Building
- Finding Some Lost Property Corners
- The Tennessee Valley Authority
- How I First Met Dr. Einstein
- Catching Vibes, and Kindred Matters
- A Pair of Unusual Walking Sticks
- A New Definition
- Dr. Einstein's First Public Address at Princeton
- Parting Advice
- Two Newspaper Items and a Phone Call
- Wherein the Author Is Beasted
- The Scholar's Creed
- The Perfect Game of Solitaire
- The Most Seductive Book Ever Written
- The Master Geometer
- Sandy
- The Perfect Parabola
- Three Coolidge Remarks
- Professor Coolidge during Examinations
- Professor Coolidge's Test
- Borrowing Lecture Techniques from Admired Professors
- My Teaching Assistant Appointment
- A Night in the Widener Memorial Library
- The Slit in the Wall
- Nathan Altshiller Court
- An Editorial Comment
- Intimations of the Future
- A Rival Field
- A Chinese Lesson
- The Bookbag
- Running a Mile in Twenty-one Seconds
- Winning the 1992 Pólya Award
- A Love Story
- Eves' Photo Album
- A Condensed Biography of Howard Eves
- An Abridged Bibliography of Howard Eves' Work
Intimations of the Future
- Frontmatter
- Foreword
- Acknowledgments
- Contents
- The Mystery of the Four-leaf Clovers
- A Fugue
- Tombstone Inscriptions
- The Two Lights
- MMM
- Acquiring Some Personal Items for MMM
- Difficulty in Explaining Relativity Theory in a Few Words
- Difficulty in Obtaining a Cup of Hot Tea
- Hail to Thee, Blithe Spirit
- C. D.
- Cupid's Problem
- The Lighter Life of an Editor
- The Two Kellys
- Some Debts
- Hypnotic Powers
- Founding the Echols Mathematics Club
- Meeting Maurice Fréchet
- Mathematizing the New Mathematics Building
- Finding Some Lost Property Corners
- The Tennessee Valley Authority
- How I First Met Dr. Einstein
- Catching Vibes, and Kindred Matters
- A Pair of Unusual Walking Sticks
- A New Definition
- Dr. Einstein's First Public Address at Princeton
- Parting Advice
- Two Newspaper Items and a Phone Call
- Wherein the Author Is Beasted
- The Scholar's Creed
- The Perfect Game of Solitaire
- The Most Seductive Book Ever Written
- The Master Geometer
- Sandy
- The Perfect Parabola
- Three Coolidge Remarks
- Professor Coolidge during Examinations
- Professor Coolidge's Test
- Borrowing Lecture Techniques from Admired Professors
- My Teaching Assistant Appointment
- A Night in the Widener Memorial Library
- The Slit in the Wall
- Nathan Altshiller Court
- An Editorial Comment
- Intimations of the Future
- A Rival Field
- A Chinese Lesson
- The Bookbag
- Running a Mile in Twenty-one Seconds
- Winning the 1992 Pólya Award
- A Love Story
- Eves' Photo Album
- A Condensed Biography of Howard Eves
- An Abridged Bibliography of Howard Eves' Work
Summary
I've often been asked what it was that caused me to become interested in mathematics—and just when and how did it happen. This will be told in a later story. Here I will tell of a couple of foreshadowings of that wonderful event.
Some time in elementary school (I cannot now recall the precise grade) an excellent teacher introduced our class to the subject of geometrical areas. She first sketched on the board a rectangle 5 units long and 3 units wide. Then, drawing lines parallel to the sides of the rectangle through the unit divisions of those sides, she divided the rectangle into an array of small unit squares. How many of these squares were there? Well, there were 3 rows of 5 unit squares apiece, giving a total of 3 × 5 = 15 unit squares in all. Thus the area of the rectangle in unit squares is given by the product of its two dimensions. Clearly the same would be true of any other rectangle having integral dimensions. Though at this stage, she said, it would be too difficult to prove that in any case, whether the sides are integral or not, the area of a rectangle is given by the product of its two dimensions, we will assume that this is indeed the case.
Next she drew a parallelogram on the board as shown in Figure 11, and dropped perpendiculars from the two top opposite vertices.
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- Chapter
- Information
- Mathematical Reminiscences , pp. 157 - 160Publisher: Mathematical Association of AmericaPrint publication year: 2001