The Early Mathematics of Leonhard Euler gives an article-by-article description of Leonhard Euler's early mathematical works; the 50 or so mathematical articles he wrote before he left St. Petersburg in 1741 to join the Academy of Frederick the Great in Berlin. These early piece…
There is a nineteen-year recurrence in the apparent position of the sun and moon against the background of the stars, a pattern observed long ago by the Babylonians. In the course of those nineteen years the Earth experiences 235 lunar cycles. Suppose we calculate the ratio of E…
The interval from 1890 to 1913 was a crucial time in the development of mathematical scholarship in the United States. At the beginning of this period mathematical research in American universities lagged far behind that in Europe. By the start of World War I the gap was largely…
"The Hitchhiker's Guide to Calculus begins with a rapid view of lines and slope. Spivak then takes up non-linear functions and trigonometric functions. He places the magnifying glass on curves in the next chapter and effortlessly leads the reader to the idea of derivative. In th…
"The Hitchhiker's Guide to Calculus begins with a rapid view of lines and slope. Spivak then takes up non-linear functions and trigonometric functions. He places the magnifying glass on curves in the next chapter and effortlessly leads the reader to the idea of derivative. In th…
![[Phi], [pi], e, and i](https://covers.openlibrary.org/b/isbn/1470447991-M.jpg?default=false)
"This book describes many beautiful and fundamental properties of the constants [phi], [pi], e and i. While these numbers have been much studied, no other book has (at a level suitable for undergraduates) featured the formulas that link the four numbers. Many of the results high…
