1 EXPLORATIONS
Mathematical Sciences: A Unifying and Dynamic Resource . Panel on Mathematical Sciences, National Research Council. National Academy Press, 1986.
Mathematical People. Donald J. Albers and G. L. Alexanderson, editors. Birkhauser, 1985.
The Solution of the Four-Color-Map Problem, Kenneth Appel and Wolfgang Haken in Scientific American, Vol. 237, October 1977, pages 108121.
The Four Color Proof Suffices, K. Appel and W. Haken in The Mathematical Intelligencer, Vol. 8, No. 1, 1986, pages 1020.
Mathematics Today . Lynn Arthur Steen, editor. Springer-Verlag, 1978.
The Problems of Mathematics . Ian Stewart. Oxford University Press, 1987.
2 PRIME PURSUITS
Number Theory in Science and Communication. M. R. Schroeder. Springer-Verlag, 1984.
The Invincible Primes, Solomon W. Golomb in The Sciences, Vol. 25, No. 2, March-April 1985, pages 5057.
Recent Developments in Primality Testing, Carl Pomerance in The Mathematical Intelligencer, Vol. 3, No. 2, 1981, pages 97105.
Factoring on a Computer, H. C. Williams in The Mathematical Intelligencer, Vol. 6, No. 3, 1984, pages 2936.
Factoring Large Numbers on a Pocket Calculator, W. D. Blair, C. B. LaCampagne, and J. L. Selfridge in Mathematics Magazine, Vol. 59, No. 5, December 1986, pages 802803.
The Remarkable Lore of the Prime Numbers, Martin Gardner in Scientific American. Vol. 210, March 1964, pages 120128.
3 TWISTS OF SPACE
Mathematics and Optimal Form. Stefan Hildebrandt and Anthony Tromba. Scientific American Books, 1985.
Soap Films and Problems without Unique Solutions, Frank Morgan in American Scientist, Vol. 74, MayJune 1986, pages 232235.
The Computer-Aided Discovery of New Embedded Minimal Surfaces, David Hoffman in The Mathematical Intelligencer, Vol. 9, No. 3, 1986, pages 821.
The Geometry of Soap Films and Soap Bubbles, Frederick J. Almgren, Jr., and Jean E. Taylor in Scientific American, Vol. 235, July 1976, pages 8293.
Catalog of Saddle Shaped Surfaces in Crystals, J. E. Taylor and J. W. Cahn in Acta Metallurgica, Vol. 34, No. 1, 1986, pages 112.
The Theory of Knots, Lee Neuwirth in Scientific American, Vol. 240, June 1979, pages 110124.
4 SHADOWS FROM HIGHER DIMENSIONS
Flatland . Edwin A. Abbott. Dover Publications, Inc., 1952.
The Fourth Dimension and Non-Euclidean Geometry in Art. Linda D. Henderson. Princeton University Press, 1983.
Computer Graphics and the Geometry of S3, Huseyin Koak and David Laidlaw in The Mathematical Intelligencer , Vol. 9, No. 1, 1987, pages 810.
The Mathematics of Three-Dimensional Manifolds, William P. Thurston and Jeffrey R. Weeks in Scientific American, Vol. 251, July 1984, pages 108120.
A Topological Picturebook. George K. Francis. Springer-Verlag, 1987.
The Allocation of Resources by Linear Programming, Robert G. Bland in Scientific American, Vol. 244, June 1981, pages 126144.
Karmarkars Algorithm and Its Place in Applied Mathematics, Gilbert Strang in The Mathematical Intelligencer, Vol. 9, No. 2, 1987, pages 410.
5 ANTS IN LABYRINTHS
The Fractal Geometry of Nature . Benoit B. Mandelbrot. W. H. Freeman, 1982.
Of Fractal Mountains, Graftal Plants and Other Computer Graphics at Pixar, A. K. Dewdney in Scientific American, Vol. 255, December 1986, pages 1420.
Solution of an Inverse Problem for Fractals and Other Sets, M. F. Barnsley, V. Ervin, D. Hardin, and J. Lancaster in Proceedings of the National Academy of Sciences (USA), Vol. 83, April 1986, pages 19751977.
On Growth and Form . H. Eugene Stanley and Nicole Ostrowsky, editors. Martinus Nijhoff Publishers, 1986.
6 THE DRAGONS OF CHAOS
Classical Chaos, Roderick V. Jensen in American Scientist, Vol. 75, MarchApril 1987, pages 168181.
Order in Chaos, John H. Hubbard in Engineering : Cornell Quarterly , Vol. 20, No. 3, Winter 1986, pages 2026.
Chaos, James P. Crutchfield, J. Doyne Farmer, Norman H. Packard, and Robert S. Shaw in Scientific American, Vol. 255, December 1986, pages 4657.
Roads to Chaos, Leo P. Kadanoff in Physics Today, Vol. 36, December 1983, pages 4653.
The Beauty of Fractals. H.-O. Peitgen and P. H. Richter. Springer-Verlag, 1986.
Chaos: The Making of a New Science. James Gleick. Viking, 1987.
How Random Is a Coin Toss? Joseph Ford in Physics Today, Vol. 36, April 1983, pages 4047.
Chaotic Bursts in Nonlinear Dynamical Systems, Robert L. Devaney in Science , Vol. 235, 16 January 1987, pages 342345. Strange Attractors, David Ruelle in The Mathematical Intelligencer , Vol. 3, No. 3, 1980, pages 126137.
Strange Attractors: Mathematical Patterns Delicately Poised Between Order and Chaos, Douglas R. Hofstadter in Scientific American, Vol. 245, November 1981, pages 2243.
7 LIFE STORIES
The Recursive Universe. William Poundstone. William Morrow, 1985.
Winning Ways for Your Mathematical Plays. Elwyn R. Berlekamp, John H. Conway, and Richard K. Guy. Academic Press, 1982. C
omputer Software in Science and Mathematics, Stephen Wolfram in Scientific American, Vol. 251, September 1984, pages 188203.
Building Computers in One Dimension Sheds Light on Irreducibly Complicated Phenomena, A. K. Dewdney in Scientific American , Vol. 252, May 1985, pages 1830.
Tilings and Patterns . Branko Grnbaum and G. C. Shephard. W. H. Freeman, 1987.
Quasicrystals, Paul Joseph Steinhardt in American Scientist , Vol. 74, NovemberDecember 1986, pages 586597.
Quasicrystals, David R. Nelson in Scientific American, Vol. 255, August 1986, pages 4251.
Extraordinary Nonperiodic Tiling That Enriches the Theory of Tiles, Martin Gardner in Scientific American, Vol. 236, January 1977, pages 110122.
Pentaplexity, Roger Penrose in Geometrical Combinatorics . F. C. Holroyd and R. J. Wilson, editors. Pitman, 1984.
Cellular Automata as Models of Complexity, Stephen Wolfram in Nature , Vol. 311, 4 October 1984, pages 419424.
Wheels, Life, and Other Mathematical Amusements . Martin Gardner. W. H. Freeman, 1983.
8 IN ABSTRACT TERRAIN
Poincares Perplexing Problem, Colin Rourke and Ian Stewart in New Scientist, Vol. 111, 4 September 1986, pages 4145.
The Bieberbach Conjecture, Paul Zorn in Mathematics Magazine, Vol. 59, No. 3, June 1986, pages 131148.
In Abstract Terrain, Rick Norwood in The Sciences, Vol. 22, No. 9, December 1982, pages 1318.
