# Geometry and the Imagination

Geometry and the Imagination is the English translation of the 1932 book Anschauliche Geometrie by David Hilbert and Stephan Cohn-Vossen.[1]

Original title Anschauliche Geometrie Paul Nemenyi Chelsea Publishing (American Mathematical Society) 1952 357 .mw-parser-output cite.citation{font-style:inherit}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation .cs1-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/thumb/6/65/Lock-green.svg/9px-Lock-green.svg.png")no-repeat;background-position:right .1em center}.mw-parser-output .citation .cs1-lock-limited a,.mw-parser-output .citation .cs1-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/thumb/d/d6/Lock-gray-alt-2.svg/9px-Lock-gray-alt-2.svg.png")no-repeat;background-position:right .1em center}.mw-parser-output .citation .cs1-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/thumb/a/aa/Lock-red-alt-2.svg/9px-Lock-red-alt-2.svg.png")no-repeat;background-position:right .1em center}.mw-parser-output .cs1-subscription,.mw-parser-output .cs1-registration{color:#555}.mw-parser-output .cs1-subscription span,.mw-parser-output .cs1-registration span{border-bottom:1px dotted;cursor:help}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/thumb/4/4c/Wikisource-logo.svg/12px-Wikisource-logo.svg.png")no-repeat;background-position:right .1em center}.mw-parser-output code.cs1-code{color:inherit;background:inherit;border:inherit;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;font-size:100%}.mw-parser-output .cs1-visible-error{font-size:100%}.mw-parser-output .cs1-maint{display:none;color:#33aa33;margin-left:0.3em}.mw-parser-output .cs1-subscription,.mw-parser-output .cs1-registration,.mw-parser-output .cs1-format{font-size:95%}.mw-parser-output .cs1-kern-left,.mw-parser-output .cs1-kern-wl-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right,.mw-parser-output .cs1-kern-wl-right{padding-right:0.2em}9780821819982 542459

The book was based on a series of lectures Hilbert made in the winter of 1920–21. The book is an attempt to present some then-current mathematical thought to "contribute to a more just appreciation of mathematics by a wider range of people than just the specialists."[2]

## Response

The Mathematical Association of America said about the book, "this book is a masterpiece — a delightful classic that should never go out of print".[3] Physics Today called it "a readable exposition of modern geometry and its relation to other branches of mathematics".[4] The Scientific Monthly said about it "has been a classic for twenty years . . . Although it deals with elementary topics, it reaches the fringe of our knowledge in many directions".[5]

## References

1. Hilbert, David; Cohn-Vossen, Stephan (1999). Geometry and the imagination (2nd ed.). Providence, R.I.: AMS Chelsea Pub. ISBN 9780821819982. OCLC 41256151.
2. Hilbert, page iv
3. "Geometry and the Imagination | Mathematical Association of America". www.maa.org. Retrieved 2017-10-01.
4. Hilbert, D.; Cohn‐Vossen, S. (May 1953). "Geometry and the Imagination". Physics Today. doi:10.1063/1.3061234.
5. Coxeter, H.S.M. (February 1953). "Review: Intuitive Geometry". The Scientific Monthly. 76 (2): 117–118. JSTOR 20643.