In teaching my courses, I always try to point out to the students some of the origins of the mathematics that they are trying to learn. Sometimes, it helps them to realize that the mathematics did not always exist, but had to be invented so that humans could better describe the circumstances that civilization created. However, there is no way that I could describe the invention of mathematics as well as Eves does.
The material is split into twenty segments, each of which has its origin in a lecture he conducted on the history of mathematics. Eves also gives the current best estimate for the date at which the invention took place. Events included in the book are the development of the abstractions needed for proof techniques, the Pythagorean theorem, the discovery of irrational numbers, the invention of the extremely efficient Hindu-Arabic numeral system, the development of logarithms and the precursors of calculus.
Every time I read some of the expository material developed by Professor Eves, I grow more impressed with his ability. My first exposure to this book was two decades ago in a math history class and it remains the most readable textbook I have ever had. Now that I read it for enjoyment, I can appreciate it in other ways. Exercises are included at the end of each segment and solid hints for their solution are included in the back.
While most of the time mathematical progress is measured in increments, there are times when it is measured in quantum leaps. Eves captures some of the earliest cases where a new technique was created that substantially altered forever how mathematics is done. And he does so in a manner where reading it is a pleasure rather than a chore.
Read more at http://ebookee.org/Great-Moments-in-Mathematics-Before-1650_223159.html#76m3WzhRihz2E5cr.99