10 A BICYCLE WHEEL AND THE GAUSS-BONNET THEOREM

Kapitel in diesem Buch

1. Frontmatter i
2. Contents v
3. Preface ix
4. 1 INTRODUCTION 1
5. 2 THE PYTHAGOREAN THEOREM 9
6. 3 MINIMA AND MAXIMA 27
7. 4 INEQUALITIES BY ELECTRIC SHORTING 76
8. 5 CENTER OF MASS: PROOFS AND SOLUTIONS 84
9. 6 GEOMETRY AND MOTION 99
10. 7 COMPUTING INTEGRALS USING MECHANICS 109
11. 8 THE EULER-LAGRANGE EQUATION VIA STRETCHED SPRINGS 115
12. 9 LENSES, TELESCOPES, AND HAMILTONIAN MECHANICS 120
13. 10 A BICYCLE WHEEL AND THE GAUSS-BONNET THEOREM 133
14. 11 COMPLEX VARIABLES MADE SIMPLE(R) 148
15. APPENDIX: PHYSICAL BACKGROUND 161
16. BIBLIOGRAPHY 183
17. INDEX 185