Library Journal
"This short, delightful book is essential reading for those educated in
the liberal arts who have never had the opportunity to
appreciate the beauty of mathematics and physics." ... "His seamless
development leads the reader almost effortlessly from the early
efforts of the ancients to measure the earth through the open
problems in modern cosmology. Strongly recommended."
Harold D. Shane
Booklist
"as lucid, comprehensible, and engaging as will be found in this
category of scientific writing."
New York Times
"There have been many books on how the universe expanded into its
present shape from the big bang. But I have seen none that so
successfully help us stretch our minds so that we can see expanding
space curved somewhat like the surface of Earth, but in three dimensions
rather than two, and with the added fourth dimension, time."
David N. Schramm
Los Angeles Times
"Wow. This short book manages to pack a lot in. It is the
story of how civilization discovered -- long before Columbus -- that
the earth is round (even though it looks flat) and, by analogy, how
scientists discovered that the universe is curved (even though it,
too, looks flat). ... Throughout, Osserman keeps in mind the sheer
beauty of these discoveries."
Lee Dembart
The Wall Street Journal
"Mr. Osserman justly calls Riemann's spherical universe 'one of
the most original and radical departures from the standard world-view
in the history of scince.' And through a series of deft analogies --
drawing on everything from the history of cartography to Dante's
'Divine Comedy' -- he gets the reader to appreciate its extraordinary
power and elegance." ... "conveys just the right amount of mathematics
-- enough so that you can start to savor the poetry of the universe in
its original language."
Jim Holt
South Bend Tribune
"this is an enlightening, informative and gracious introduction
to the universe. Certainly to be read by every student of mathematics,
it should be required by anyone who wishes to have a greater
understanding of mankind, our genius and our possibilities."
Tom Donaghey
SubStance
"With the elegance of a mathematical proof, ... provides a
brilliant synthesis of the history of mathematical representation.
Happily for students of non-mathematical disciplines, Osserman deploys
straightforward analogies, accompanied by clear and simple graphical
illustrations, to describe practices and concepts ranging from ancient
Egypt to the present."
Charlie La Via
The Professional Geographer
"Osserman's all too brief journey through the imagination carries
the reader by leaps and bounds from cartography to mathematics to
astronomy to physics and back again." ... "should be a required supplementary
book for any cartography course or course in geographic information systems."
... "this stimulating book is elegantly and cleverly done; it is a must for
anyone in the spatial sciences."
Sandra Lach Arlinghaus
Larry O'Hanlon
Allyn Jackson
Australian Mathematical Society Gazette
"... a wonderful book, clear and honest in its aims and
beautifully written."
Marty Ross
Last updated 4/1 /98, Marlon Urias