Chapters in this book

1. Frontmatter i
2. Contents v
3. 1 Introduction 1
4. 2 The Pythagorean Theorem 9
5. 3 Minima and Maxima 27
6. 4 Inequalities by Electric Shorting 76
7. 5 Center of Mass: Proofs and Solutions 84
8. 6 Geometry and Motion 99
9. 7 Computing Integrals Using Mechanics 109
10. 8. The Euler-Lagrange Equation via Stretched Springs 115
11. 9 Lenses, Telescopes, and Hamiltonian Mechanics 120
12. 10 A Bicycle Wheel and the Gauss-Bonnet Theorem 133
13. 11 Complex Variables Made Simple(r) 148
14. Appendix. Physical Background 161
15. Bibliography 183
16. Index 185