Math 497 Books

Required Texts

Thomas F Banchoff, Beyond the Third Dimension: Geometry, Computer Graphics and HIgher Dimensions

W. H. Freeman, NY ISBN 0-7167-6015-0 (pbk)

Robert Osserman, Poetry of the Universe: A Mathematical Exploration of the Cosmos

Anchor Books, ISBN 0-385-47429-6

Edwin A. Abbott, Flatland: A Romance of Many Dimensions

Dover, ISBN 0-486-27263-X (this is the least expensive of many editions; the text is also available free over the Internet; the Introduction by Banchoff in the Princeton edition is a valuable source)

Additional Required Reading

See handouts for information about where to find the readings.

Week 1

Donald J, Albers, Tom Banchoff: Multidimensional Mathematician,

Math Horizons, Feb. 96, pp. 18-22.

Week 2

Tom Banchoff, Flatland, A New Introduction,

Flatland, pp. xv-xxxi, Princeton, ISBN 0-691-02525-8

Other recommended or related books or articles

Higher (and lower) Dimensions

A.K. Dewdney, The Planiverse: Computer Contact with a Two-Dimensional World

Poseidon Press (Simon and Schuster), 0-671-46363-2 (pbk)

Rudy Rucker, The Fourth Dimension: A Guided Tour of the Higher Universes

Houghton Mifflin, ISBN 0-395-39388-4 (pbk)

Rudolf v. B. (Rudy) Rucker, Geometry, Relativity and the Fourth Dimension

Dover, ISBN 0-486-23400-2

Martin Gardner, Mathematical Carnival (chaper on "Hypercubes")

Mathematical Association of America, ISBN 0-88385-448-1

Jeffrey Weeks, The Shape of Space

Marcel Dekker, Inc., New York (1-800-228-1160)

Objects and Spaces (e.g., Mobius strips, tori, polyhedra, etc.)

Stephen Barr, Experiments in Topology

Dover, ISBN 0-486-25933-1 (pbk)

David W. Henderson, Experiencing Geometry on Plane and Sphere

Prentice Hall, ISNB 0-13-373770-5 (pbk)

Polyhedra

Marjorie Senechal and George Fleck, Shaping Space, a Polyhedral Approach

MAA, ISBN 0-8176-3351-0 (hardbound)

Magnus Wenninger, three books, Polyhedral Models, Dual Models, Spherical Models

Cambridge U. Press.