[share_ebook] The Art of the Infinite


Author: Ellen Kaplan, Robert Kaplan

Date: 2011-04-27

Pages: 336

Publisher: Oxford University Press, USA

Category: Study

Tag: Mathematics


Posted on 2011-11-27, by sharebookfree.

Description

The Art of the Infinite


The Art of the Infinite
Ellen Kaplan, Robert Kaplan | Oxford University Press, USA | 2011-04-27 | 336 pages | English | PDF

Robert Kaplan's The Nothing That Is: A Natural History of Zero was an international best-seller, translated into eight languages. The Times called it "elegant, discursive, and littered with quotes and allusions from Aquinas via Gershwin to Woolf" and The Philadelphia Inquirer praised it as "absolutely scintillating."
In this delightful new book, Robert Kaplan, writing together with his wife Ellen Kaplan, once again takes us on a witty, literate, and accessible tour of the world of mathematics. Where The Nothing That Is looked at math through the lens of zero, The Art of the Infinite takes infinity, in its countless guises, as a touchstone for understanding mathematical thinking. Tracing a path from Pythagoras, whose great Theorem led inexorably to a discovery that his followers tried in vain to keep secret (the existence of irrational numbers); through Descartes and Leibniz; to the brilliant, haunted Georg Cantor, who proved that infinity can come in different sizes, the Kaplans show how the attempt to grasp the ungraspable embodies the essence of mathematics. The Kaplans guide us through the "Republic of Numbers," where we meet both its upstanding citizens and more shadowy dwellers; and we travel across the plane of geometry into the unlikely realm where parallel lines meet. Along the way, deft character studies of great mathematicians (and equally colorful lesser ones) illustrate the opposed yet intertwined modes of mathematical thinking: the intutionist notion that we discover mathematical truth as it exists, and the formalist belief that math is true because we invent consistent rules for it.
"Less than All," wrote William Blake, "cannot satisfy Man." The Art of the Infinite shows us some of the ways that Man has grappled with All, and reveals mathematics as one of the most exhilarating expressions of the human imagination.


Download

http://www.filesonic.com/file/1725099154/sharebookfree.com_1084685664.rar


**** No Mirrors below, please! Follow Rules! ****

Sponsored High Speed Downloads
6461 dl's @ 2257 KB/s
Download Now [Full Version]
7268 dl's @ 2431 KB/s
Download Link 1 - Fast Download
5713 dl's @ 2070 KB/s
Download Mirror - Direct Download



Search More...
[share_ebook] The Art of the Infinite

Search free ebooks in ebookee.com!


Links
Download this book

No active download links here?
Please check the description for download links if any or do a search to find alternative books.


Related Books


Comments

No comments for "[share_ebook] The Art of the Infinite".


    Add Your Comments
    1. Download links and password may be in the description section, read description carefully!
    2. Do a search to find mirrors if no download links or dead links.
    Back to Top