1. Fibonacci Numbers, the Golden Ratio, and Laws of Nature?

Chapters in this book

1. Frontmatter i
2. Contents vii
3. Preface xiii
4. 1. Fibonacci Numbers, the Golden Ratio, and Laws of Nature? 1
5. 2. Scaling Laws of Life, the Internet, and Social Networks 27
6. 3. Modeling Change One Step at a Time 54
7. 4. Differential Equation Models: Carbon Dating, Age of the Universe, HIV Modeling 68
8. 5. Modeling in the Physical Sciences, Kepler, Newton, and Calculus 84
9. 6. Nonlinear Population Models: An Introduction to Qualitative Analysis Using Phase Planes 98
10. 7. Discrete Time Logistic Map, Periodic and Chaotic Solutions 113
11. 8. Snowball Earth and Global Warming 126
12. 9. Interactions: Predator–Prey, Spraying of Pests, Carnivores in Australia 161
13. 10. Marriage and Divorce 191
14. 11. Chaos in Deterministic Continuous Systems, Poincaré and Lorenz 212
15. 12. El Niño and the Southern Oscillation 229
16. 13. Age of the Earth: Lord Kelvin’s Model 243
17. 14. Collapsing Bridges: Broughton and Tacoma Narrows 254
18. Appendix A. Differential Equations and Their Solutions 267
19. Appendix B. Matlab Codes 282
20. Bibliography 287
21. Index 293