A. K. Dewdney 
Beyond Reason [PDF ebook] 
Eight Great Problems That Reveal the Limits of Science

Introduction: Where Reason Cannot Go.
Math in the Cosmos.
1. The Energy Drain: Impossible Machines.
2. The Cosmic Limit: Unreachable Speeds.
3. The Quantum Curtain: Unknowable Particles.
4. The Edge of Chaos: Unpredictable Systems.
Math in the Holos.
5. The Circular Crypt: Unconstructable Figures.
6. The Chains of Reason: Unprovable Theorems.
7. The Computer Treadmill: Impossible Programs.
8. The Big-O Bottleneck: Intractable Problems.
References.
Further Reading.
Index.

A.K. DEWDNEY, PH.D., is the author of several critically acclaimed math and science books, including A Mathematical Mystery Tour; Yes, We have No Neutrons; and 200% of Nothing, all from Wiley. He was a member of the computer science department at the University of Western Ontario and at the University of Waterloo for a combined period of thirty years before retiring. In 1996, he became an adjunct professor of biology at UWO. For eight years, Dewdney was the Computer Recreations columnist for Scientific American magazine.