Dedication Acknowledgements About the Author Prologue Preface 1. The Mystery of Mathematics Let us be reasonable All set Where is Mathematics? Fine tuning A blast from the past: Euclid''s geometry Taking the Fifth further Pi in the sky Off to Monte Carlo Smashed pi The divine Isoperimetric Inequality 2. From Here to Infinity Zeno''s Paradox Summing Up In what Universe is this true? The power of e Fast money What is normal? Multiplying ad infinitum 3. Imaginary Worlds The Strange Case of The '' ''s have it The God-like Euler identity Even more imaginaries - quaternions But wait, there is more - octonians The world''s hardest problem - the Riemann Hypothesis 4. Random Universe Going steady Brownian Motion Life is a gamble The dating game The world of entropy - order to chaos Information entropy 5. Order from Chaos Cellular Automata Life as a game Infectious disease model - SIR Mimicking Darwin One-dimensional CA The whole is greater than the sum of its parts Bees and termites . And ants Bacteria count A hive of Mathematics: Fibonacci Dynamical systems Messrs. Fatou, Julia and Mandelbrot The fractal Universe 6.

Mathematics in Space Faster than a speeding bullet Down to Earth Heavens above Light-years The great recession The Universe is flat Measuring the invisible: Black holes A galaxy far, far away 7. The Unreality of Reality Miniature Universe Quantum world Infinite space Qubits It is all relative, Albert That equation What time is it anyway? Matters of gravity Time in motion Radiation Symmetry and groups 8. The Unknowable Universe Gödel incompleteness Halting problem EMX Where is it, Dr. Heisenberg? Summing up Appendix I: Being Reasonable Appendix II: Hyperbolic Geometry and Minkowski Spacetime Appendix III: The Uncountable Real Numbers Appendix IV: c2 = c: Square and Line have Same Cardinality Appendix V: Geometric Series Appendix VI: Cesàro Sums Appendix VII: Rotating a Vector via a Quaternion Appendix VIII: Quaternions q 2 = −1 Appendix IX: Riemann Zeta Function Appendix X: Random Walk Code Appendix XI: Age of the Solar System Appendix XII: Chelyabinsk Meteoroid Appendix XIII: Logic Gates Appendix XIV: Galaxy Distance via Cepheids Appendix XV: Time Dilation Appendix XVI: Expansion of the Universe Bibliography Index.