The Number [pi]

The Number [pi]

4.11 - 1251 ratings - Source

This is a clever, beautiful book. The authors trace the thread of $\pi$ through the long history of mathematics. In so doing, they touch upon many major subjects in mathematics: geometry (of course), number theory, Galois theory, probability, transcendental numbers, analysis, and, as their crown jewel, the theory of elliptic functions, which connects many of the other subjects. By this device, the authors provide a tour through mathematics, one that mathematicians of all levels, amateur or professional, may appreciate. In many cases, the tour stops at beloved topics from particular special interest groups. Remarkably, $\pi$ is often found at the places of deepest beauty. Anyone from undergraduate mathematics majors through university professors will find many things to enjoy in this book.Thus, in 1706 he used the formula 7T 1 1 (2.37) a€” = 4 arctan - a€” arctan a€” - to obtain 100 digits for TT. Applying the formula tan 29 = ^^ag twice, one finds / 1\ 5 / 1\ 120 tan 2 arctan - 1 = a€” and then tan I 4 arctan - I = , \ 5/ 12 y 5J 119 which isanbsp;...

Title:The Number [pi]
Author: Pierre Eymard, Jean Pierre Lafon
Publisher:American Mathematical Soc. - 2004

You must register with us as either a Registered User before you can Download this Book. You'll be greeted by a simple sign-up page.

Once you have finished the sign-up process, you will be redirected to your download Book page.

How it works:
  • 1. Register a free 1 month Trial Account.
  • 2. Download as many books as you like (Personal use)
  • 3. Cancel the membership at any time if not satisfied.

Click button below to register and download Ebook
Privacy Policy | Contact | DMCA