By Richard J. Trudeau
How designated and definitive is Euclidean geometry in describing the "real" house within which we live?
Richard Trudeau confronts the elemental query of fact and its illustration via mathematical types in The Non-Euclidean Revolution. First, the writer analyzes geometry in its old and philosophical surroundings; moment, he examines a revolution every piece as major because the Copernican revolution in astronomy and the Darwinian revolution in biology; 3rd, at the so much speculative point, he questions the potential of absolute wisdom of the world.
Trudeau writes in a full of life, wonderful, and hugely available sort. His e-book offers essentially the most stimulating and private shows of a fight with the character of fact in arithmetic and the actual international. A part of the ebook gained the Pólya Prize, a exceptional award from the Mathematical organization of America.
"Trudeau meets the problem of achieving a huge viewers in shrewdpermanent ways...(The e-book) is an efficient addition to our literature on non-Euclidean geometry and it is strongly recommended for the undergraduate library."--Choice (review of 1st edition)
"...the writer, during this extraordinary e-book, describes in an incomparable means the attention-grabbing direction taken by way of the geometry of the airplane in its ancient evolution from antiquity as much as the invention of non-Euclidean geometry. This 'non-Euclidean revolution', in all its elements, is defined very strikingly here...Many illustrations and a few a laugh sketches supplement the very vividly written text."--Mathematical Reviews